Measuring and Analyzing Transverse Emittances of Charged Particle Beams
description
Transcript of Measuring and Analyzing Transverse Emittances of Charged Particle Beams
-
Measuring and Analyzing Transverse Emittances of Charged Particle BeamsMartin P. Stockliand many collogues at SNS and other Accelerator LabsBIW06Fermi National Accelerator LaboratoryBatavia, IL, May 1, 2006
-
CD-4 achieved 4-28-06 15:30
-
Outline:Concepts and DefinitionsApplicationsThe Emittance EllipseDilemmasMeasuring Emittance Distributions (Destructive)Nondestructive Measurements of the Emittance EllipseAnalysis of emittance Ellipse Analysis of Emittance DistributionsConclusions
-
The EmittanceThe emittance is the 6-dimensional hypervolume in the phase space x,y,z,px,py,pz that is occupied by a number of beam particles. The coordinates are normally referenced with respect to the center, by zeroing the first moments:yxzp(x0,y0,z0)If the axial motion does not couple to the transverse motions, the hypervolume can be separated into the 2-dimensional longitudinal emittance, which describes the beam current profile as a function of time, and the transverse emittance which describes the beam current as a function of transverse position. The transverse emittance is the 4-dimensional, occupied hypervolume in the phase space x,y,px,py: If transverse motions are not coupled, the emittance can be separated into its components, which form 2-dimensional areas in {x,px} and {y,py}: with form-factor 2
-
Emittance in Trace-Space:For pz invariant along the beam axis, p can be factored out, yielding the transverse emittance in the trace space x,y, x=dx/dz, and y=dy/dz. If transverse motions are not coupled, the emittance can be separated into its components, which form the 2-dimensional areas {x,x} and {y,y}: All these terms are normally called Emittance. However, rigorous authors call them either Volume Emittance or Area Emittance. Most then go on to introduce the Emittance as the semi-axis-product of an hyper-ellipsoid with the same area or volume:Confusion can be avoided by stating whether the quoted emittance value is a volume, an area, or a semi-axis-product!
-
Units of Emittances in the Trace-Space Emittances have the dimension of (lengthangle)n.
Common are mmmrad, cmmrad, and mrad
However, the radian angle is a dimensionless ratio, and therefore some people use m, mm, and m (= mmmrad).For semi-axis-products it is common to write mmmrad, cmmrad, or mradThe is supposed to assure the reader that the has the has been factored out of the phase space area (Sanders, 1990).However, if the was factored out, it was factored out in the definition. The in the unit has no clear meaning. It is neither a real unit, nor a true multiplier. It is a one-of-a-kind object that has no precedent in the physics literature! It has created as much confusion as it intended to eliminate. A trend has started to omit the in the unit.Confusion can be avoided by stating whether the quoted emittance value is a volume, an area, or a semi-axis-product!Unless otherwise stated, semi-axis-products will be quoted throughout this presentation!
-
Normalized Emittances As the particles are accelerated from vz1 to vz2, the trace angles narrow, causing the emittance to shrink.The emittance can be normalized by multiplying the emittance with the dimensionless particle-velocity to speed-of-light ratio:The normalized emittance stays roughly the same throughout most parts of most accelerators!vTvTvz1vz2x1x2withandwithor
-
The RMS EmittanceEmittance volumes or areas that contain all particles are of limited merit because they are very large and dominated by a very few particles of questionable character. The volume of an entire Gaussian distribution is infinite. This problem can be reduced by quoting the emittance volume of a certain fraction of the beam, e.g. 90%, yielding E90% or A 90% . The problem is resolved with the rms emittance that averages over all particles with a weight given by the particles distance from the center:This is the semi-axis-product of an ellipse. For a Gaussian distribution, the ellipse contains 39% of the beam. (E90% = 4.6Erms)For a finite current , the rms-emittance is finite. There is no absolute need to threshold the data, but tresholded rms-emittances are common, e.g. E rms,90%. Unfortunately many authors fail to be specific!, with, ande.g.:,,,
-
What is it all good for?According to Liouvilles theorem, emittances are conserved if the particles are subjected only to conservative forces, such as time-invariant electric and magnetic fields. Therefore the emittance allows for predicting the downstream beam transport, the beams focusability, the losses in downstream restricted beam line apertures, etc. It is invaluable for designing accelerators and beam lines! Some non-conservative forces, such as collisions, scattering, and fluctuations of electric or magnetic fields, increase the emittance. Other non-conservative forces, such as E-M radiation, decrease the emittance.The emittance is conserved under space charge as long as the forces are caused by the charged particle cloud, rather than by individual particles. Due to the nature of the beam formation in ion sources and/or the collimation in the extractor- and other apertures, emittances are normally of elliptical shape. Beams collimated by rectangular wave guides (in dipole magnets) or by straight slits can exhibit rectangular shapes. In this presentation we will focus on elliptical emittances.
-
The Emittance ellipsexxxxxzbeam envelopebeam waistxxxWhile the area is constant, the emittance ellipse shape and orientation changes. It is described by:
-
The Ellipse and the Twiss parameter: Divergence:
Beam radius:xxabdiverging beam: 0>0 by definition [mm/mrad]0
-
The Transformation of Ellipses:The transfer matrix is normally used to calculate individual particle rays:Similarly, the ellipse equation can be written as:e.g.:withorwithWhich allows to calculate the beam envelope as:
-
Real emittances:Angular spread shrinks as as beam is accelerated.Non linear forces, such as lens aberrations and space charge, often cause low-energy emittances to be S-shaped.Particles far from the central ellipse are preferentially lost in the RFQ. Ellipses are good approximations for high energy beams.SNS LEBT (65 keV)SNS MEBT (2.5 MeV)~70 mrad~15 mrad
Chart1
0.004999999900.04899999870.15600000320.26399999860.21999999880.12200000140.10700000080.09300000220.08799999950.09300000220.07800000160.02899999920.01999999960.00999999980.03900000080.01999999960.02400000020.0149999997000.004999999900.019999999600.01499999970.014999999700.00499999990.00999999980.014999999700.01499999970.03400000180.01999999960.01999999960.00999999980.0289999992
0.02899999920.01999999960.03900000080.16099999850.28299999240.20999999340.16099999850.12700000410.11200000350.10300000010.10700000080.11200000350.02400000020.02400000020.00499999990.01999999960.01499999970.02400000020.00999999980.01999999960.00999999980.00999999980.02400000020.004999999900.00499999990000.01999999960.01499999970.01499999970.01499999970.00999999980.01999999960.00999999980.02400000020.0240000002
0.02400000020.02400000020.03900000080.12700000410.2489999980.21999999880.1759999990.13699999450.12200000140.10300000010.12700000410.15099999310.10700000080.01499999970.014999999700.00999999980.02899999920.02899999920.02899999920.04899999870.00999999980.02400000020.01999999960.00999999980.01999999960.01499999970.00499999990.00499999990.03400000180.00499999990.02400000020.01999999960.00999999980.01999999960.02400000020.00499999990.0049999999
0.02899999920.03400000180.02400000020.09799999740.2489999980.21999999880.20999999340.13699999450.10700000080.12200000140.14599999790.15600000320.1759999990.063000001000.03400000180.01999999960.07299999890.14200000460.11699999870.10700000080.12700000410.10300000010.13199999930.14200000460.06800000370.00499999990.00999999980.028999999200.01999999960.014999999700.00499999990.00499999990.02400000020.0149999997
0.004999999900.02400000020.10700000080.23899999260.20499999820.18099999430.13699999450.13199999930.13699999450.13699999450.16599999370.18099999430.15099999310.05400000140.01999999960.01999999960.11699999870.23399999740.34200000760.44400000570.49799999590.4490000010.39100000260.48300001030.527000010.61500000950.20499999820.05900000040.00999999980.02400000020.0240000002000.02400000020.04399999980.00499999990
0000.12200000140.22900000210.20499999820.16599999370.14200000460.13699999450.12200000140.13699999450.14599999790.21500000360.21999999880.05900000040.04899999870.12700000410.33199998740.62000000480.99099999671.26499998571.20099997521.19099998471.25499999521.38199996951.65499997141.51900005341.02499997620.30799999830.10300000010.028999999200.02899999920.01999999960.00999999980.00499999990.00499999990.0099999998
0000.05400000140.20499999820.1759999990.13699999450.12700000410.13199999930.16099999850.14200000460.15099999310.21500000360.29300001260.18099999430.08799999950.33199998740.97699999811.71399998662.32899999622.95900011063.27600002293.21300005913.09100008012.87599992752.71000003812.58299994472.03600001341.24000000950.52200001480.12200000140.03400000180.03400000180.01999999960.01499999970.03400000180.01499999970.0240000002
0000.07299999890.24400000270.16099999850.14200000460.13199999930.12200000140.18099999430.18999999760.1759999990.25900000330.30300000310.30799999830.25900000330.87900000812.29500007633.62299990654.62400007254.52099990844.13600015643.5060000423.25699996952.98799991612.85199999812.52900004392.33899998661.76300001140.85900002720.37099999190.10300000010.02400000020.02400000020.00499999990.02400000020.01999999960.0149999997
0000.07299999890.26399999860.24400000270.16599999370.15600000320.16099999850.1759999990.18600000440.2000000030.23899999260.34200000760.46900001170.59100002051.99199998383.58400011065.18100023275.2639999394.16499996192.99799990651.76300001141.47899997231.37699997431.44000005721.59200000761.78699994091.59700000290.93699997660.37599998710.14599999790.02899999920.00499999990000.0049999999
0000.09799999740.34200000760.31700000170.24400000270.21500000360.18099999430.1759999990.23899999260.25400000810.30799999830.40500000120.57599997521.49899995333.34500002865.08799982075.74700021744.77099990842.94400000571.65499997141.0060000420.76200002430.68800002340.69300001860.81499999761.08399999141.3179999590.87900000810.41499999170.15099999310.0630000010.00999999980000
0000.09799999740.37599998710.38100001220.27799999710.24400000270.20999999340.1759999990.21999999880.25400000810.33700001240.47900000210.82999998332.39299988754.8829998976.15700006485.48299980163.72600007061.8070000411.02999997140.65399998430.55199998620.49300000070.47900000210.54699999090.71299999950.99099999670.91799998280.31200000640.09300000220.06800000370.02899999920000
0000.11200000350.44400000570.44400000570.37599998710.28799998760.24400000270.21999999880.20999999340.28799998760.40999999640.58600002530.94700002673.64299988756.30399990086.34800004964.45300006872.289999961900.66900002960.527000010.49799999590.45399999620.43500000240.48800000550.570999980.72799998520.71799999480.16599999370.04899999870.02400000020.00499999990000
0000.09799999740.44400000570.52200001480.40500000120.33700001240.28799998760.29300001260.27799999710.28799998760.48300001030.82499998811.32799994954.3756.86499977115.82499980932.85199999811.13800001140.70800000430.54199999570.5030000210.43000000720.42500001190.45399999620.43900001050.49300000070.54699999090.679000020.43900001050.03900000080.01499999970.004999999900.004999999900
0000.13199999930.45399999620.570999980.45899999140.38600000740.34700000290.32699999210.32199999690.35600000620.59600001571.21099996572.05599999435.21000003816.34800004965.21999979022.2360000610.77600002290.54699999090.4490000010.4000000060.37599998710.38100001220.41999998690.40500000120.4490000010.46399998660.6010000110.32699999210.01999999960.00499999990.00499999990.0049999999000
000.00499999990.14200000460.48300001030.67400002480.54699999090.45899999140.4000000060.39100000260.4000000060.53200000520.92299997812.37299990653.05699992185.57600021365.64900016784.63399982452.03600001340.63499999050.45399999620.37599998710.32199999690.34200000760.35199999810.34700000290.35600000620.36100000140.38600000740.52200001480.4000000060.1070000008000000
000.03400000180.16099999850.4000000060.77100002770.67400002480.54699999090.50800001620.48300001030.54199999570.76200002431.40600001813.59899997714.09200000765.5079998974.90700006483.47699999811.87999999520.58600002530.39100000260.30300000310.27300000190.27300000190.28799998760.33199998740.32199999690.32199999690.36100000140.45899999140.38600000740.0199999996000000
00.01499999970.07299999890.14599999790.43000000720.87400001290.86900001760.81999999280.73699998860.75199997430.92799997331.42100000382.73399996764.99499988565.28299999245.1030001643.73000001912.26600003241.11300003530.49799999590.32699999210.24400000270.19499999280.25400000810.27300000190.25400000810.24400000270.28299999240.28799998760.38100001220.4000000060.0630000010000.009999999800
000.05900000040.20499999820.78600001341.23000001911.34300005441.25999999051.36199998861.47000002861.84599995612.85199999813.97000002865.05900001535.3610000613.93600010872.71000003811.32299995420.58600002530.38600000740.28299999240.18600000440.1759999990.14599999790.20499999820.21500000360.19499999280.18600000440.21999999880.35600000620.29800000790.0289999992000.0049999999000
00.01999999960.02400000020.12200000140.43000000720.98100000621.72399997712.15799999242.45600008962.75900006293.29099988943.74000000954.10599994663.753.68199992182.55900001531.58700001240.76200002430.2249999940.24400000270.20999999340.16099999850.16099999850.13199999930.16599999370.18099999430.18099999430.15600000320.21500000360.32699999210.2489999980.0199999996000000.0049999999
0.0099999998000.00499999990.18999999760.85900002721.8070000412.53900003433.06200003623.05200004583.04200005532.98300004012.45099997521.74800002571.68900001051.12300002570.75199997430.298000007900.10300000010.19499999280.17100000380.10300000010.13199999930.13699999450.14200000460.16099999850.19499999280.2249999940.31700000170.29300001260.0489999987000.0099999998000.0149999997
00.00999999980000.13699999451.05999994281.97300004962.08500003811.82599997521.25999999051.10399997230.98600000140.79100000860.77100002770.48300001030.33199998740.14200000460.05400000140.03400000180.16599999370.17100000380.12200000140.09799999740.11200000350.12700000410.14599999790.20999999340.233999997400.20999999340.0340000018000.004999999900.01999999960.0099999998
0.02400000020.01499999970.01999999960.00499999990.028999999200.01499999970.66900002961.22599995140.93699997660.43900001050.36599999670.36100000140.33700001240.29800000790.13199999930.08299999680.06800000370.02400000020.01999999960.06800000370.16599999370.14200000460.10700000080.12700000410.14599999790.17100000380.21999999880.2489999980.29300001260.2249999940.02400000020.028999999200.00499999990.01499999970.00999999980.0149999997
0.00999999980.00499999990.01999999960.00499999990.00499999990.01499999970.02400000020.01999999960.26399999860.26399999860.2000000030.09799999740.09300000220.12200000140.09300000220.0630000010.0630000010.02899999920.03900000080.02400000020.05900000040.11699999870.14599999790.12200000140.10700000080.12700000410.14200000460.23399999740.24400000270.27799999710.18600000440.0630000010.02400000020.02400000020.02899999920.00499999990.00499999990.0240000002
0.03400000180.024000000200.028999999200.02400000020.01999999960.00499999990.01999999960.03900000080.04399999980.04399999980.03900000080.01999999960.04399999980.01499999970.01499999970.04399999980.04899999870.03400000180.01999999960.0630000010.10300000010.09300000220.07800000160.10300000010.11200000350.2249999940.26899999380.16599999370.05400000140.02400000020.00499999990.00499999990.01999999960.01999999960.01499999970
0.01499999970.009999999800.01499999970.03400000180.00499999990.00499999990.00999999980.02400000020.01999999960.02400000020.00499999990.05900000040.03900000080.02400000020.00499999990.009999999800.01999999960.01999999960.01499999970.03900000080.08299999680.07800000160.07299999890.09799999740.10700000080.21500000360.27300000190.1759999990.07800000160.03400000180.00499999990.00499999990.01499999970.00999999980.00499999990
0.00999999980.02400000020.00499999990.00999999980.014999999700.024000000200.00999999980.024000000200.00999999980.004999999900.01999999960.00499999990.03900000080.00999999980.02400000020.01499999970.04399999980.03400000180.0630000010.07299999890.05900000040.09300000220.08299999680.15600000320.27799999710.09799999740.03900000080.02400000020.01499999970.00499999990.00999999980.01499999970.02899999920.0099999998
00.00499999990.02400000020.00499999990.01499999970.014999999700.01499999970.02400000020.02899999920.028999999200.01499999970.01999999960.01499999970.00999999980.03400000180.00999999980.02400000020.02400000020.03900000080.03900000080.01999999960.05900000040.03900000080.05400000140.04899999870.10300000010.26399999860.11200000350.05900000040.02899999920.03400000180.03400000180.01499999970.02400000020.00999999980.0099999998
-41.00
-38.00
-35.00
-32.00
-29.00
-26.00
-23.00
-20.00
-17.00
-14.00
-11.00
-8.00
-5.00
-2.00
1.00
4.00
7.00
10.00
13.00
16.00
19.00
22.00
25.00
28.00
31.00
34.00
37.00
40.00
43.00
46.00
49.00
52.00
55.00
58.00
61.00
64.00
67.00
70.00
x (mm)
x' (mrad)
sheet1
0-410.0049999999
0.200000003-410.0289999992
0.400000006-410.0240000002
0.6000000238-410.0289999992
0.8000000119-410.0049999999
1-410
1.2000000477-410
1.3999999762-410
1.6000000238-410
1.8000000715-410
2-410
2.2000000477-410
2.4000000954-410
2.6000001431-410
2.7999999523-410
3-410
3.2000000477-410
3.4000000954-410
3.6000001431-410ave
3.7999999523-410.0099999998filterfractioncurrent
4-410f_maxf_encemitellipsebeamdensityln1/1-f
4.2000002861-410.0240000002areaenclosedoutsidealfabetaerms0
4.4000000954-410.0099999998ellipse0
4.5999999046-410.03400000180
4.8000001907-410.01499999970
5-410.00999999980
5.2000002861-4100
0-3800
0.200000003-380.01999999960
0.400000006-380.02400000020
0.6000000238-380.03400000180
0.8000000119-3800
1-3800
1.2000000477-3800
1.3999999762-3800
1.6000000238-380
1.8000000715-3800
2-380
2.2000000477-3800
2.4000000954-380
2.6000001431-380
2.7999999523-380
3-380
3.2000000477-380.0149999997
3.4000000954-380
3.6000001431-380.0199999996
3.7999999523-380
4-380.0099999998
4.2000002861-380.0149999997
4.4000000954-380.0049999999
4.5999999046-380.0240000002
4.8000001907-380.0099999998
5-380.0240000002
5.2000002861-380.0049999999
0-350.0489999987
0.200000003-350.0390000008
0.400000006-350.0390000008
0.6000000238-350.0240000002
0.8000000119-350.0240000002
1-350
1.2000000477-350
1.3999999762-350
1.6000000238-350
1.8000000715-350
2-350
2.2000000477-350
2.4000000954-350
2.6000001431-350
2.7999999523-350.0049999999
3-350.0340000018
3.2000000477-350.0729999989
3.4000000954-350.0590000004
3.6000001431-350.0240000002
3.7999999523-350
4-350
4.2000002861-350.0199999996
4.4000000954-350.0199999996
4.5999999046-350
4.8000001907-350
5-350.0049999999
5.2000002861-350.0240000002
0-320.1560000032
0.200000003-320.1609999985
0.400000006-320.1270000041
0.6000000238-320.0979999974
0.8000000119-320.1070000008
1-320.1220000014
1.2000000477-320.0540000014
1.3999999762-320.0729999989
1.6000000238-320.0729999989
1.8000000715-320.0979999974
2-320.0979999974
2.2000000477-320.1120000035
2.4000000954-320.0979999974
2.6000001431-320.1319999993
2.7999999523-320.1420000046
3-320.1609999985
3.2000000477-320.1459999979
3.4000000954-320.2049999982
3.6000001431-320.1220000014
3.7999999523-320.0049999999
4-320
4.2000002861-320.0049999999
4.4000000954-320.0049999999
4.5999999046-320.0289999992
4.8000001907-320.0149999997
5-320.0099999998
5.2000002861-320.0049999999
0-290.2639999986
0.200000003-290.2829999924
0.400000006-290.248999998
0.6000000238-290.248999998
0.8000000119-290.2389999926
1-290.2290000021
1.2000000477-290.2049999982
1.3999999762-290.2440000027
1.6000000238-290.2639999986
1.8000000715-290.3420000076
2-290.3759999871
2.2000000477-290.4440000057
2.4000000954-290.4440000057
2.6000001431-290.4539999962
2.7999999523-290.4830000103
3-290.400000006
3.2000000477-290.4300000072
3.4000000954-290.7860000134
3.6000001431-290.4300000072
3.7999999523-290.1899999976
4-290
4.2000002861-290.0289999992
4.4000000954-290.0049999999
4.5999999046-290
4.8000001907-290.0340000018
5-290.0149999997
5.2000002861-290.0149999997
0-260.2199999988
0.200000003-260.2099999934
0.400000006-260.2199999988
0.6000000238-260.2199999988
0.8000000119-260.2049999982
1-260.2049999982
1.2000000477-260.175999999
1.3999999762-260.1609999985
1.6000000238-260.2440000027
1.8000000715-260.3170000017
2-260.3810000122
2.2000000477-260.4440000057
2.4000000954-260.5220000148
2.6000001431-260.57099998
2.7999999523-260.6740000248
3-260.7710000277
3.2000000477-260.8740000129
3.4000000954-261.2300000191
3.6000001431-260.9810000062
3.7999999523-260.8590000272
4-260.1369999945
4.2000002861-260
4.4000000954-260.0149999997
4.5999999046-260.0240000002
4.8000001907-260.0049999999
5-260
5.2000002861-260.0149999997
0-230.1220000014
0.200000003-230.1609999985
0.400000006-230.175999999
0.6000000238-230.2099999934
0.8000000119-230.1809999943
1-230.1659999937
1.2000000477-230.1369999945
1.3999999762-230.1420000046
1.6000000238-230.1659999937
1.8000000715-230.2440000027
2-230.2779999971
2.2000000477-230.3759999871
2.4000000954-230.4050000012
2.6000001431-230.4589999914
2.7999999523-230.5469999909
3-230.6740000248
3.2000000477-230.8690000176
3.4000000954-231.3430000544
3.6000001431-231.7239999771
3.7999999523-231.807000041
4-231.0599999428
4.2000002861-230.0149999997
4.4000000954-230.0240000002
4.5999999046-230.0199999996
4.8000001907-230.0049999999
5-230.0240000002
5.2000002861-230
0-200.1070000008
0.200000003-200.1270000041
0.400000006-200.1369999945
0.6000000238-200.1369999945
0.8000000119-200.1369999945
1-200.1420000046
1.2000000477-200.1270000041
1.3999999762-200.1319999993
1.6000000238-200.1560000032
1.8000000715-200.2150000036
2-200.2440000027
2.2000000477-200.2879999876
2.4000000954-200.3370000124
2.6000001431-200.3860000074
2.7999999523-200.4589999914
3-200.5469999909
3.2000000477-200.8199999928
3.4000000954-201.2599999905
3.6000001431-202.1579999924
3.7999999523-202.5390000343
4-201.9730000496
4.2000002861-200.6690000296
4.4000000954-200.0199999996
4.5999999046-200.0049999999
4.8000001907-200.0099999998
5-200
5.2000002861-200.0149999997
0-170.0930000022
0.200000003-170.1120000035
0.400000006-170.1220000014
0.6000000238-170.1070000008
0.8000000119-170.1319999993
1-170.1369999945
1.2000000477-170.1319999993
1.3999999762-170.1220000014
1.6000000238-170.1609999985
1.8000000715-170.1809999943
2-170.2099999934
2.2000000477-170.2440000027
2.4000000954-170.2879999876
2.6000001431-170.3470000029
2.7999999523-170.400000006
3-170.5080000162
3.2000000477-170.7369999886
3.4000000954-171.3619999886
3.6000001431-172.4560000896
3.7999999523-173.0620000362
4-172.0850000381
4.2000002861-171.2259999514
4.4000000954-170.2639999986
4.5999999046-170.0199999996
4.8000001907-170.0240000002
5-170.0099999998
5.2000002861-170.0240000002
0-140.0879999995
0.200000003-140.1030000001
0.400000006-140.1030000001
0.6000000238-140.1220000014
0.8000000119-140.1369999945
1-140.1220000014
1.2000000477-140.1609999985
1.3999999762-140.1809999943
1.6000000238-140.175999999
1.8000000715-140.175999999
2-140.175999999
2.2000000477-140.2199999988
2.4000000954-140.2930000126
2.6000001431-140.3269999921
2.7999999523-140.3910000026
3-140.4830000103
3.2000000477-140.7519999743
3.4000000954-141.4700000286
3.6000001431-142.7590000629
3.7999999523-143.0520000458
4-141.8259999752
4.2000002861-140.9369999766
4.4000000954-140.2639999986
4.5999999046-140.0390000008
4.8000001907-140.0199999996
5-140.0240000002
5.2000002861-140.0289999992
0-110.0930000022
0.200000003-110.1070000008
0.400000006-110.1270000041
0.6000000238-110.1459999979
0.8000000119-110.1369999945
1-110.1369999945
1.2000000477-110.1420000046
1.3999999762-110.1899999976
1.6000000238-110.1860000044
1.8000000715-110.2389999926
2-110.2199999988
2.2000000477-110.2099999934
2.4000000954-110.2779999971
2.6000001431-110.3219999969
2.7999999523-110.400000006
3-110.5419999957
3.2000000477-110.9279999733
3.4000000954-111.8459999561
3.6000001431-113.2909998894
3.7999999523-113.0420000553
4-111.2599999905
4.2000002861-110.4390000105
4.4000000954-110.200000003
4.5999999046-110.0439999998
4.8000001907-110.0240000002
5-110
5.2000002861-110.0289999992
0-80.0780000016
0.200000003-80.1120000035
0.400000006-80.1509999931
0.6000000238-80.1560000032
0.8000000119-80.1659999937
1-80.1459999979
1.2000000477-80.1509999931
1.3999999762-80.175999999
1.6000000238-80.200000003
1.8000000715-80.2540000081
2-80.2540000081
2.2000000477-80.2879999876
2.4000000954-80.2879999876
2.6000001431-80.3560000062
2.7999999523-80.5320000052
3-80.7620000243
3.2000000477-81.4210000038
3.4000000954-82.8519999981
3.6000001431-83.7400000095
3.7999999523-82.9830000401
4-81.1039999723
4.2000002861-80.3659999967
4.4000000954-80.0979999974
4.5999999046-80.0439999998
4.8000001907-80.0049999999
5-80.0099999998
5.2000002861-80
0-50.0289999992
0.200000003-50.0240000002
0.400000006-50.1070000008
0.6000000238-50.175999999
0.8000000119-50.1809999943
1-50.2150000036
1.2000000477-50.2150000036
1.3999999762-50.2590000033
1.6000000238-50.2389999926
1.8000000715-50.3079999983
2-50.3370000124
2.2000000477-50.4099999964
2.4000000954-50.4830000103
2.6000001431-50.5960000157
2.7999999523-50.9229999781
3-51.4060000181
3.2000000477-52.7339999676
3.4000000954-53.9700000286
3.6000001431-54.1059999466
3.7999999523-52.4509999752
4-50.9860000014
4.2000002861-50.3610000014
4.4000000954-50.0930000022
4.5999999046-50.0390000008
4.8000001907-50.0590000004
5-50.0049999999
5.2000002861-50.0149999997
0-20.0199999996
0.200000003-20.0240000002
0.400000006-20.0149999997
0.6000000238-20.063000001
0.8000000119-20.1509999931
1-20.2199999988
1.2000000477-20.2930000126
1.3999999762-20.3030000031
1.6000000238-20.3420000076
1.8000000715-20.4050000012
2-20.4790000021
2.2000000477-20.5860000253
2.4000000954-20.8249999881
2.6000001431-21.2109999657
2.7999999523-22.3729999065
3-23.5989999771
3.2000000477-24.9949998856
3.4000000954-25.0590000153
3.6000001431-23.75
3.7999999523-21.7480000257
4-20.7910000086
4.2000002861-20.3370000124
4.4000000954-20.1220000014
4.5999999046-20.0199999996
4.8000001907-20.0390000008
5-20
5.2000002861-20.0199999996
010.0099999998
0.20000000310.0049999999
0.40000000610.0149999997
0.600000023810
0.800000011910.0540000014
110.0590000004
1.200000047710.1809999943
1.399999976210.3079999983
1.600000023810.4690000117
1.800000071510.5759999752
210.8299999833
2.200000047710.9470000267
2.400000095411.3279999495
2.600000143112.0559999943
2.799999952313.0569999218
314.0920000076
3.200000047715.2829999924
3.400000095415.361000061
3.600000143113.6819999218
3.799999952311.6890000105
410.7710000277
4.200000286110.2980000079
4.400000095410.0930000022
4.599999904610.0439999998
4.800000190710.0240000002
510.0199999996
5.200000286110.0149999997
040.0390000008
0.20000000340.0199999996
0.40000000640
0.600000023840
0.800000011940.0199999996
140.0489999987
1.200000047740.0879999995
1.399999976240.2590000033
1.600000023840.5910000205
1.800000071541.4989999533
242.3929998875
2.200000047743.6429998875
2.400000095444.375
2.600000143145.2100000381
2.799999952345.5760002136
345.507999897
3.200000047745.103000164
3.400000095443.9360001087
3.600000143142.5590000153
3.799999952341.1230000257
440.4830000103
4.200000286140.1319999993
4.400000095440.063000001
4.599999904640.0149999997
4.800000190740.0049999999
540.0049999999
5.200000286140.0099999998
070.0199999996
0.20000000370.0149999997
0.40000000670.0099999998
0.600000023870.0340000018
0.800000011970.0199999996
170.1270000041
1.200000047770.3319999874
1.399999976270.8790000081
1.600000023871.9919999838
1.800000071573.3450000286
274.882999897
2.200000047776.3039999008
2.400000095476.8649997711
2.600000143176.3480000496
2.799999952375.6490001678
374.9070000648
3.200000047773.7300000191
3.400000095472.7100000381
3.600000143171.5870000124
3.799999952370.7519999743
470.3319999874
4.200000286170.0829999968
4.400000095470.063000001
4.599999904670.0149999997
4.800000190770.0099999998
570.0390000008
5.200000286170.0340000018
0100.0240000002
0.200000003100.0240000002
0.400000006100.0289999992
0.6000000238100.0199999996
0.8000000119100.1169999987
1100.3319999874
1.2000000477100.9769999981
1.3999999762102.2950000763
1.6000000238103.5840001106
1.8000000715105.0879998207
2106.1570000648
2.2000000477106.3480000496
2.4000000954105.8249998093
2.6000001431105.2199997902
2.7999999523104.6339998245
3103.4769999981
3.2000000477102.2660000324
3.4000000954101.3229999542
3.6000001431100.7620000243
3.7999999523100.2980000079
4100.1420000046
4.2000002861100.0680000037
4.4000000954100.0289999992
4.5999999046100.0439999998
4.8000001907100
5100.0099999998
5.2000002861100.0099999998
0130.0149999997
0.200000003130.0099999998
0.400000006130.0289999992
0.6000000238130.0729999989
0.8000000119130.2339999974
1130.6200000048
1.2000000477131.7139999866
1.3999999762133.6229999065
1.6000000238135.1810002327
1.8000000715135.7470002174
2135.4829998016
2.2000000477134.4530000687
2.4000000954132.8519999981
2.6000001431132.236000061
2.7999999523132.0360000134
3131.8799999952
3.2000000477131.1130000353
3.4000000954130.5860000253
3.6000001431130.224999994
3.7999999523130
4130.0540000014
4.2000002861130.0240000002
4.4000000954130.0390000008
4.5999999046130.0489999987
4.8000001907130.0199999996
5130.0240000002
5.2000002861130.0240000002
0160
0.200000003160.0199999996
0.400000006160.0289999992
0.6000000238160.1420000046
0.8000000119160.3420000076
1160.9909999967
1.2000000477162.3289999962
1.3999999762164.6240000725
1.6000000238165.263999939
1.8000000715164.7709999084
2163.7260000706
2.2000000477162.2899999619
2.4000000954161.1380000114
2.6000001431160.7760000229
2.7999999523160.6349999905
3160.5860000253
3.2000000477160.4979999959
3.4000000954160.3860000074
3.6000001431160.2440000027
3.7999999523160.1030000001
4160.0340000018
4.2000002861160.0199999996
4.4000000954160.0240000002
4.5999999046160.0340000018
4.8000001907160.0199999996
5160.0149999997
5.2000002861160.0240000002
0190
0.200000003190.0099999998
0.400000006190.0489999987
0.6000000238190.1169999987
0.8000000119190.4440000057
1191.2649999857
1.2000000477192.9590001106
1.3999999762194.5209999084
1.6000000238194.1649999619
1.8000000715192.9440000057
2191.807000041
2.2000000477190
2.4000000954190.7080000043
2.6000001431190.5469999909
2.7999999523190.4539999962
3190.3910000026
3.2000000477190.3269999921
3.4000000954190.2829999924
3.6000001431190.2099999934
3.7999999523190.1949999928
4190.1659999937
4.2000002861190.0680000037
4.4000000954190.0590000004
4.5999999046190.0199999996
4.8000001907190.0149999997
5190.0439999998
5.2000002861190.0390000008
0220.0049999999
0.200000003220.0099999998
0.400000006220.0099999998
0.6000000238220.1070000008
0.8000000119220.4979999959
1221.2009999752
1.2000000477223.2760000229
1.3999999762224.1360001564
1.6000000238222.9979999065
1.8000000715221.6549999714
2221.0299999714
2.2000000477220.6690000296
2.4000000954220.5419999957
2.6000001431220.449000001
2.7999999523220.3759999871
3220.3030000031
3.2000000477220.2440000027
3.4000000954220.1860000044
3.6000001431220.1609999985
3.7999999523220.1710000038
4220.1710000038
4.2000002861220.1659999937
4.4000000954220.1169999987
4.5999999046220.063000001
4.8000001907220.0390000008
5220.0340000018
5.2000002861220.0390000008
0250
0.200000003250.0240000002
0.400000006250.0240000002
0.6000000238250.1270000041
0.8000000119250.449000001
1251.1909999847
1.2000000477253.2130000591
1.3999999762253.506000042
1.6000000238251.7630000114
1.8000000715251.006000042
2250.6539999843
2.2000000477250.52700001
2.4000000954250.503000021
2.6000001431250.400000006
2.7999999523250.3219999969
3250.2730000019
3.2000000477250.1949999928
3.4000000954250.175999999
3.6000001431250.1609999985
3.7999999523250.1030000001
4250.1220000014
4.2000002861250.1420000046
4.4000000954250.1459999979
4.5999999046250.1030000001
4.8000001907250.0829999968
5250.063000001
5.2000002861250.0199999996
0280.0199999996
0.200000003280.0049999999
0.400000006280.0199999996
0.6000000238280.1030000001
0.8000000119280.3910000026
1281.2549999952
1.2000000477283.0910000801
1.3999999762283.2569999695
1.6000000238281.4789999723
1.8000000715280.7620000243
2280.5519999862
2.2000000477280.4979999959
2.4000000954280.4300000072
2.6000001431280.3759999871
2.7999999523280.3420000076
3280.2730000019
3.2000000477280.2540000081
3.4000000954280.1459999979
3.6000001431280.1319999993
3.7999999523280.1319999993
4280.0979999974
4.2000002861280.1070000008
4.4000000954280.1220000014
4.5999999046280.0930000022
4.8000001907280.0780000016
5280.0729999989
5.2000002861280.0590000004
0310
0.200000003310
0.400000006310.0099999998
0.6000000238310.1319999993
0.8000000119310.4830000103
1311.3819999695
1.2000000477312.8759999275
1.3999999762312.9879999161
1.6000000238311.3769999743
1.8000000715310.6880000234
2310.4930000007
2.2000000477310.4539999962
2.4000000954310.4250000119
2.6000001431310.3810000122
2.7999999523310.3519999981
3310.2879999876
3.2000000477310.2730000019
3.4000000954310.2049999982
3.6000001431310.1659999937
3.7999999523310.1369999945
4310.1120000035
4.2000002861310.1270000041
4.4000000954310.1070000008
4.5999999046310.0780000016
4.8000001907310.0729999989
5310.0590000004
5.2000002861310.0390000008
0340.0149999997
0.200000003340.0049999999
0.400000006340.0199999996
0.6000000238340.1420000046
0.8000000119340.52700001
1341.6549999714
1.2000000477342.7100000381
1.3999999762342.8519999981
1.6000000238341.4400000572
1.8000000715340.6930000186
2340.4790000021
2.2000000477340.4350000024
2.4000000954340.4539999962
2.6000001431340.4199999869
2.7999999523340.3470000029
3340.3319999874
3.2000000477340.2540000081
3.4000000954340.2150000036
3.6000001431340.1809999943
3.7999999523340.1420000046
4340.1270000041
4.2000002861340.1459999979
4.4000000954340.1270000041
4.5999999046340.1030000001
4.8000001907340.0979999974
5340.0930000022
5.2000002861340.0540000014
0370.0149999997
0.200000003370
0.400000006370.0149999997
0.6000000238370.0680000037
0.8000000119370.6150000095
1371.5190000534
1.2000000477372.5829999447
1.3999999762372.5290000439
1.6000000238371.5920000076
1.8000000715370.8149999976
2370.5469999909
2.2000000477370.4880000055
2.4000000954370.4390000105
2.6000001431370.4050000012
2.7999999523370.3560000062
3370.3219999969
3.2000000477370.2440000027
3.4000000954370.1949999928
3.6000001431370.1809999943
3.7999999523370.1609999985
4370.1459999979
4.2000002861370.1710000038
4.4000000954370.1420000046
4.5999999046370.1120000035
4.8000001907370.1070000008
5370.0829999968
5.2000002861370.0489999987
0400
0.200000003400
0.400000006400.0049999999
0.6000000238400.0049999999
0.8000000119400.2049999982
1401.0249999762
1.2000000477402.0360000134
1.3999999762402.3389999866
1.6000000238401.7869999409
1.8000000715401.0839999914
2400.7129999995
2.2000000477400.57099998
2.4000000954400.4930000007
2.6000001431400.449000001
2.7999999523400.3610000014
3400.3219999969
3.2000000477400.2829999924
3.4000000954400.1860000044
3.6000001431400.1560000032
3.7999999523400.1949999928
4400.2099999934
4.2000002861400.2199999988
4.4000000954400.2339999974
4.5999999046400.224999994
4.8000001907400.2150000036
5400.1560000032
5.2000002861400.1030000001
0430.0049999999
0.200000003430
0.400000006430.0049999999
0.6000000238430.0099999998
0.8000000119430.0590000004
1430.3079999983
1.2000000477431.2400000095
1.3999999762431.7630000114
1.6000000238431.5970000029
1.8000000715431.317999959
2430.9909999967
2.2000000477430.7279999852
2.4000000954430.5469999909
2.6000001431430.4639999866
2.7999999523430.3860000074
3430.3610000014
3.2000000477430.2879999876
3.4000000954430.2199999988
3.6000001431430.2150000036
3.7999999523430.224999994
4430.2339999974
4.2000002861430.248999998
4.4000000954430.2440000027
4.5999999046430.2689999938
4.8000001907430.2730000019
5430.2779999971
5.2000002861430.2639999986
0460.0099999998
0.200000003460.0199999996
0.400000006460.0340000018
0.6000000238460.0289999992
0.8000000119460.0099999998
1460.1030000001
1.2000000477460.5220000148
1.3999999762460.8590000272
1.6000000238460.9369999766
1.8000000715460.8790000081
2460.9179999828
2.2000000477460.7179999948
2.4000000954460.67900002
2.6000001431460.601000011
2.7999999523460.5220000148
3460.4589999914
3.2000000477460.3810000122
3.4000000954460.3560000062
3.6000001431460.3269999921
3.7999999523460.3170000017
4460
4.2000002861460.2930000126
4.4000000954460.2779999971
4.5999999046460.1659999937
4.8000001907460.175999999
5460.0979999974
5.2000002861460.1120000035
0490.0149999997
0.200000003490.0149999997
0.400000006490.0049999999
0.6000000238490
0.8000000119490.0240000002
1490.0289999992
1.2000000477490.1220000014
1.3999999762490.3709999919
1.6000000238490.3759999871
1.8000000715490.4149999917
2490.3120000064
2.2000000477490.1659999937
2.4000000954490.4390000105
2.6000001431490.3269999921
2.7999999523490.400000006
3490.3860000074
3.2000000477490.400000006
3.4000000954490.2980000079
3.6000001431490.248999998
3.7999999523490.2930000126
4490.2099999934
4.2000002861490.224999994
4.4000000954490.1860000044
4.5999999046490.0540000014
4.8000001907490.0780000016
5490.0390000008
5.2000002861490.0590000004
0520
0.200000003520.0149999997
0.400000006520.0240000002
0.6000000238520.0199999996
0.8000000119520.0240000002
1520
1.2000000477520.0340000018
1.3999999762520.1030000001
1.6000000238520.1459999979
1.8000000715520.1509999931
2520.0930000022
2.2000000477520.0489999987
2.4000000954520.0390000008
2.6000001431520.0199999996
2.7999999523520.1070000008
3520.0199999996
3.2000000477520.063000001
3.4000000954520.0289999992
3.6000001431520.0199999996
3.7999999523520.0489999987
4520.0340000018
4.2000002861520.0240000002
4.4000000954520.063000001
4.5999999046520.0240000002
4.8000001907520.0340000018
5520.0240000002
5.2000002861520.0289999992
0550.0149999997
0.200000003550.0149999997
0.400000006550.0199999996
0.6000000238550.0149999997
0.8000000119550
1550.0289999992
1.2000000477550.0340000018
1.3999999762550.0240000002
1.6000000238550.0289999992
1.8000000715550.063000001
2550.0680000037
2.2000000477550.0240000002
2.4000000954550.0149999997
2.6000001431550.0049999999
2.7999999523550
3550
3.2000000477550
3.4000000954550
3.6000001431550
3.7999999523550
4550
4.2000002861550.0289999992
4.4000000954550.0240000002
4.5999999046550.0049999999
4.8000001907550.0049999999
5550.0149999997
5.2000002861550.0340000018
0580.0340000018
0.200000003580.0099999998
0.400000006580.0099999998
0.6000000238580
0.8000000119580
1580.0199999996
1.2000000477580.0199999996
1.3999999762580.0240000002
1.6000000238580.0049999999
1.8000000715580.0099999998
2580.0289999992
2.2000000477580.0049999999
2.4000000954580.0049999999
2.6000001431580.0049999999
2.7999999523580
3580
3.2000000477580
3.4000000954580
3.6000001431580
3.7999999523580
4580
4.2000002861580
4.4000000954580.0240000002
4.5999999046580.0049999999
4.8000001907580.0049999999
5580.0049999999
5.2000002861580.0340000018
0610.0199999996
0.200000003610.0199999996
0.400000006610.0199999996
0.6000000238610.0049999999
0.8000000119610.0240000002
1610.0099999998
1.2000000477610.0149999997
1.3999999762610.0049999999
1.6000000238610
1.8000000715610
2610
2.2000000477610
2.4000000954610
2.6000001431610.0049999999
2.7999999523610
3610
3.2000000477610
3.4000000954610.0049999999
3.6000001431610
3.7999999523610.0099999998
4610.0049999999
4.2000002861610.0049999999
4.4000000954610.0289999992
4.5999999046610.0199999996
4.8000001907610.0149999997
5610.0099999998
5.2000002861610.0149999997
0640.0199999996
0.200000003640.0099999998
0.400000006640.0240000002
0.6000000238640.0049999999
0.8000000119640.0439999998
1640.0049999999
1.2000000477640.0340000018
1.3999999762640.0240000002
1.6000000238640
1.8000000715640
2640
2.2000000477640
2.4000000954640.0049999999
2.6000001431640
2.7999999523640
3640
3.2000000477640.0099999998
3.4000000954640
3.6000001431640
3.7999999523640
4640
4.2000002861640.0149999997
4.4000000954640.0049999999
4.5999999046640.0199999996
4.8000001907640.0099999998
5640.0149999997
5.2000002861640.0240000002
0670.0099999998
0.200000003670.0240000002
0.400000006670.0049999999
0.6000000238670.0240000002
0.8000000119670.0049999999
1670.0049999999
1.2000000477670.0149999997
1.3999999762670.0199999996
1.6000000238670
1.8000000715670
2670
2.2000000477670
2.4000000954670
2.6000001431670
2.7999999523670
3670
3.2000000477670
3.4000000954670
3.6000001431670
3.7999999523670
4670.0199999996
4.2000002861670.0099999998
4.4000000954670.0049999999
4.5999999046670.0149999997
4.8000001907670.0049999999
5670.0289999992
5.2000002861670.0099999998
0700.0289999992
0.200000003700.0240000002
0.400000006700.0049999999
0.6000000238700.0149999997
0.8000000119700
1700.0099999998
1.2000000477700.0240000002
1.3999999762700.0149999997
1.6000000238700.0049999999
1.8000000715700
2700
2.2000000477700
2.4000000954700
2.6000001431700
2.7999999523700
3700
3.2000000477700
3.4000000954700
3.6000001431700.0049999999
3.7999999523700.0149999997
4700.0099999998
4.2000002861700.0149999997
4.4000000954700.0240000002
4.5999999046700
4.8000001907700
5700.0099999998
5.2000002861700.0099999998
Paste emittance data into columns (maximum=10,000 entries, data starts in row 1):A - x data in mmB - x' data in mradsC - I (current) in arbitrary units
analyze emittance
sheet1
0.004999999900.04899999870.15600000320.26399999860.21999999880.12200000140.10700000080.09300000220.08799999950.09300000220.07800000160.02899999920.01999999960.00999999980.03900000080.01999999960.02400000020.0149999997000.004999999900.019999999600.01499999970.014999999700.00499999990.00999999980.014999999700.01499999970.03400000180.01999999960.01999999960.00999999980.0289999992
0.02899999920.01999999960.03900000080.16099999850.28299999240.20999999340.16099999850.12700000410.11200000350.10300000010.10700000080.11200000350.02400000020.02400000020.00499999990.01999999960.01499999970.02400000020.00999999980.01999999960.00999999980.00999999980.02400000020.004999999900.00499999990000.01999999960.01499999970.01499999970.01499999970.00999999980.01999999960.00999999980.02400000020.0240000002
0.02400000020.02400000020.03900000080.12700000410.2489999980.21999999880.1759999990.13699999450.12200000140.10300000010.12700000410.15099999310.10700000080.01499999970.014999999700.00999999980.02899999920.02899999920.02899999920.04899999870.00999999980.02400000020.01999999960.00999999980.01999999960.01499999970.00499999990.00499999990.03400000180.00499999990.02400000020.01999999960.00999999980.01999999960.02400000020.00499999990.0049999999
0.02899999920.03400000180.02400000020.09799999740.2489999980.21999999880.20999999340.13699999450.10700000080.12200000140.14599999790.15600000320.1759999990.063000001000.03400000180.01999999960.07299999890.14200000460.11699999870.10700000080.12700000410.10300000010.13199999930.14200000460.06800000370.00499999990.00999999980.028999999200.01999999960.014999999700.00499999990.00499999990.02400000020.0149999997
0.004999999900.02400000020.10700000080.23899999260.20499999820.18099999430.13699999450.13199999930.13699999450.13699999450.16599999370.18099999430.15099999310.05400000140.01999999960.01999999960.11699999870.23399999740.34200000760.44400000570.49799999590.4490000010.39100000260.48300001030.527000010.61500000950.20499999820.05900000040.00999999980.02400000020.0240000002000.02400000020.04399999980.00499999990
0000.12200000140.22900000210.20499999820.16599999370.14200000460.13699999450.12200000140.13699999450.14599999790.21500000360.21999999880.05900000040.04899999870.12700000410.33199998740.62000000480.99099999671.26499998571.20099997521.19099998471.25499999521.38199996951.65499997141.51900005341.02499997620.30799999830.10300000010.028999999200.02899999920.01999999960.00999999980.00499999990.00499999990.0099999998
0000.05400000140.20499999820.1759999990.13699999450.12700000410.13199999930.16099999850.14200000460.15099999310.21500000360.29300001260.18099999430.08799999950.33199998740.97699999811.71399998662.32899999622.95900011063.27600002293.21300005913.09100008012.87599992752.71000003812.58299994472.03600001341.24000000950.52200001480.12200000140.03400000180.03400000180.01999999960.01499999970.03400000180.01499999970.0240000002
0000.07299999890.24400000270.16099999850.14200000460.13199999930.12200000140.18099999430.18999999760.1759999990.25900000330.30300000310.30799999830.25900000330.87900000812.29500007633.62299990654.62400007254.52099990844.13600015643.5060000423.25699996952.98799991612.85199999812.52900004392.33899998661.76300001140.85900002720.37099999190.10300000010.02400000020.02400000020.00499999990.02400000020.01999999960.0149999997
0000.07299999890.26399999860.24400000270.16599999370.15600000320.16099999850.1759999990.18600000440.2000000030.23899999260.34200000760.46900001170.59100002051.99199998383.58400011065.18100023275.2639999394.16499996192.99799990651.76300001141.47899997231.37699997431.44000005721.59200000761.78699994091.59700000290.93699997660.37599998710.14599999790.02899999920.00499999990000.0049999999
0000.09799999740.34200000760.31700000170.24400000270.21500000360.18099999430.1759999990.23899999260.25400000810.30799999830.40500000120.57599997521.49899995333.34500002865.08799982075.74700021744.77099990842.94400000571.65499997141.0060000420.76200002430.68800002340.69300001860.81499999761.08399999141.3179999590.87900000810.41499999170.15099999310.0630000010.00999999980000
0000.09799999740.37599998710.38100001220.27799999710.24400000270.20999999340.1759999990.21999999880.25400000810.33700001240.47900000210.82999998332.39299988754.8829998976.15700006485.48299980163.72600007061.8070000411.02999997140.65399998430.55199998620.49300000070.47900000210.54699999090.71299999950.99099999670.91799998280.31200000640.09300000220.06800000370.02899999920000
0000.11200000350.44400000570.44400000570.37599998710.28799998760.24400000270.21999999880.20999999340.28799998760.40999999640.58600002530.94700002673.64299988756.30399990086.34800004964.45300006872.289999961900.66900002960.527000010.49799999590.45399999620.43500000240.48800000550.570999980.72799998520.71799999480.16599999370.04899999870.02400000020.00499999990000
0000.09799999740.44400000570.52200001480.40500000120.33700001240.28799998760.29300001260.27799999710.28799998760.48300001030.82499998811.32799994954.3756.86499977115.82499980932.85199999811.13800001140.70800000430.54199999570.5030000210.43000000720.42500001190.45399999620.43900001050.49300000070.54699999090.679000020.43900001050.03900000080.01499999970.004999999900.004999999900
0000.13199999930.45399999620.570999980.45899999140.38600000740.34700000290.32699999210.32199999690.35600000620.59600001571.21099996572.05599999435.21000003816.34800004965.21999979022.2360000610.77600002290.54699999090.4490000010.4000000060.37599998710.38100001220.41999998690.40500000120.4490000010.46399998660.6010000110.32699999210.01999999960.00499999990.00499999990.0049999999000
000.00499999990.14200000460.48300001030.67400002480.54699999090.45899999140.4000000060.39100000260.4000000060.53200000520.92299997812.37299990653.05699992185.57600021365.64900016784.63399982452.03600001340.63499999050.45399999620.37599998710.32199999690.34200000760.35199999810.34700000290.35600000620.36100000140.38600000740.52200001480.4000000060.1070000008000000
000.03400000180.16099999850.4000000060.77100002770.67400002480.54699999090.50800001620.48300001030.54199999570.76200002431.40600001813.59899997714.09200000765.5079998974.90700006483.47699999811.87999999520.58600002530.39100000260.30300000310.27300000190.27300000190.28799998760.33199998740.32199999690.32199999690.36100000140.45899999140.38600000740.0199999996000000
00.01499999970.07299999890.14599999790.43000000720.87400001290.86900001760.81999999280.73699998860.75199997430.92799997331.42100000382.73399996764.99499988565.28299999245.1030001643.73000001912.26600003241.11300003530.49799999590.32699999210.24400000270.19499999280.25400000810.27300000190.25400000810.24400000270.28299999240.28799998760.38100001220.4000000060.0630000010000.009999999800
000.05900000040.20499999820.78600001341.23000001911.34300005441.25999999051.36199998861.47000002861.84599995612.85199999813.97000002865.05900001535.3610000613.93600010872.71000003811.32299995420.58600002530.38600000740.28299999240.18600000440.1759999990.14599999790.20499999820.21500000360.19499999280.18600000440.21999999880.35600000620.29800000790.0289999992000.0049999999000
00.01999999960.02400000020.12200000140.43000000720.98100000621.72399997712.15799999242.45600008962.75900006293.29099988943.74000000954.10599994663.753.68199992182.55900001531.58700001240.76200002430.2249999940.24400000270.20999999340.16099999850.16099999850.13199999930.16599999370.18099999430.18099999430.15600000320.21500000360.32699999210.2489999980.0199999996000000.0049999999
0.0099999998000.00499999990.18999999760.85900002721.8070000412.53900003433.06200003623.05200004583.04200005532.98300004012.45099997521.74800002571.68900001051.12300002570.75199997430.298000007900.10300000010.19499999280.17100000380.10300000010.13199999930.13699999450.14200000460.16099999850.19499999280.2249999940.31700000170.29300001260.0489999987000.0099999998000.0149999997
00.00999999980000.13699999451.05999994281.97300004962.08500003811.82599997521.25999999051.10399997230.98600000140.79100000860.77100002770.48300001030.33199998740.14200000460.05400000140.03400000180.16599999370.17100000380.12200000140.09799999740.11200000350.12700000410.14599999790.20999999340.233999997400.20999999340.0340000018000.004999999900.01999999960.0099999998
0.02400000020.01499999970.01999999960.00499999990.028999999200.01499999970.66900002961.22599995140.93699997660.43900001050.36599999670.36100000140.33700001240.29800000790.13199999930.08299999680.06800000370.02400000020.01999999960.06800000370.16599999370.14200000460.10700000080.12700000410.14599999790.17100000380.21999999880.2489999980.29300001260.2249999940.02400000020.028999999200.00499999990.01499999970.00999999980.0149999997
0.00999999980.00499999990.01999999960.00499999990.00499999990.01499999970.02400000020.01999999960.26399999860.26399999860.2000000030.09799999740.09300000220.12200000140.09300000220.0630000010.0630000010.02899999920.03900000080.02400000020.05900000040.11699999870.14599999790.12200000140.10700000080.12700000410.14200000460.23399999740.24400000270.27799999710.18600000440.0630000010.02400000020.02400000020.02899999920.00499999990.00499999990.0240000002
0.03400000180.024000000200.028999999200.02400000020.01999999960.00499999990.01999999960.03900000080.04399999980.04399999980.03900000080.01999999960.04399999980.01499999970.01499999970.04399999980.04899999870.03400000180.01999999960.0630000010.10300000010.09300000220.07800000160.10300000010.11200000350.2249999940.26899999380.16599999370.05400000140.02400000020.00499999990.00499999990.01999999960.01999999960.01499999970
0.01499999970.009999999800.01499999970.03400000180.00499999990.00499999990.00999999980.02400000020.01999999960.02400000020.00499999990.05900000040.03900000080.02400000020.00499999990.009999999800.01999999960.01999999960.01499999970.03900000080.08299999680.07800000160.07299999890.09799999740.10700000080.21500000360.27300000190.1759999990.07800000160.03400000180.00499999990.00499999990.01499999970.00999999980.00499999990
0.00999999980.02400000020.00499999990.00999999980.014999999700.024000000200.00999999980.024000000200.00999999980.004999999900.01999999960.00499999990.03900000080.00999999980.02400000020.01499999970.04399999980.03400000180.0630000010.07299999890.05900000040.09300000220.08299999680.15600000320.27799999710.09799999740.03900000080.02400000020.01499999970.00499999990.00999999980.01499999970.02899999920.0099999998
00.00499999990.02400000020.00499999990.01499999970.014999999700.01499999970.02400000020.02899999920.028999999200.01499999970.01999999960.01499999970.00999999980.03400000180.00999999980.02400000020.02400000020.03900000080.03900000080.01999999960.05900000040.03900000080.05400000140.04899999870.10300000010.26399999860.11200000350.05900000040.02899999920.03400000180.03400000180.01499999970.02400000020.00999999980.0099999998
-41.00
-38.00
-35.00
-32.00
-29.00
-26.00
-23.00
-20.00
-17.00
-14.00
-11.00
-8.00
-5.00
-2.00
1.00
4.00
7.00
10.00
13.00
16.00
19.00
22.00
25.00
28.00
31.00
34.00
37.00
40.00
43.00
46.00
49.00
52.00
55.00
58.00
61.00
64.00
67.00
70.00
x (mm)
x' (mrad)
sheet2
0.004999999900.04899999870.15600000320.26399999860.21999999880.12200000140.10700000080.09300000220.08799999950.09300000220.07800000160.02899999920.01999999960.00999999980.03900000080.01999999960.02400000020.0149999997000.004999999900.019999999600.01499999970.014999999700.00499999990.00999999980.014999999700.01499999970.03400000180.01999999960.01999999960.00999999980.02899999920000000000
0.02899999920.01999999960.03900000080.16099999850.28299999240.20999999340.16099999850.12700000410.11200000350.10300000010.10700000080.11200000350.02400000020.02400000020.00499999990.01999999960.01499999970.02400000020.00999999980.01999999960.00999999980.00999999980.02400000020.004999999900.00499999990000.01999999960.01499999970.01499999970.01499999970.00999999980.01999999960.00999999980.02400000020.02400000020.2000000030.2000000030.2000000030.2000000030.2000000030.2000000030.2000000030.2000000030.2000000030.200000003
0.02400000020.02400000020.03900000080.12700000410.2489999980.21999999880.1759999990.13699999450.12200000140.10300000010.12700000410.15099999310.10700000080.01499999970.014999999700.00999999980.02899999920.02899999920.02899999920.04899999870.00999999980.02400000020.01999999960.00999999980.01999999960.01499999970.00499999990.00499999990.03400000180.00499999990.02400000020.01999999960.00999999980.01999999960.02400000020.00499999990.00499999990.4000000060.4000000060.4000000060.4000000060.4000000060.4000000060.4000000060.4000000060.4000000060.400000006
0.02899999920.03400000180.02400000020.09799999740.2489999980.21999999880.20999999340.13699999450.10700000080.12200000140.14599999790.15600000320.1759999990.063000001000.03400000180.01999999960.07299999890.14200000460.11699999870.10700000080.12700000410.10300000010.13199999930.14200000460.06800000370.00499999990.00999999980.028999999200.01999999960.014999999700.00499999990.00499999990.02400000020.01499999970.60000002380.60000002380.60000002380.60000002380.60000002380.60000002380.60000002380.60000002380.60000002380.6000000238
0.004999999900.02400000020.10700000080.23899999260.20499999820.18099999430.13699999450.13199999930.13699999450.13699999450.16599999370.18099999430.15099999310.05400000140.01999999960.01999999960.11699999870.23399999740.34200000760.44400000570.49799999590.4490000010.39100000260.48300001030.527000010.61500000950.20499999820.05900000040.00999999980.02400000020.0240000002000.02400000020.04399999980.004999999900.80000001190.80000001190.80000001190.80000001190.80000001190.80000001190.80000001190.80000001190.80000001190.8000000119
0000.12200000140.22900000210.20499999820.16599999370.14200000460.13699999450.12200000140.13699999450.14599999790.21500000360.21999999880.05900000040.04899999870.12700000410.33199998740.62000000480.99099999671.26499998571.20099997521.19099998471.25499999521.38199996951.65499997141.51900005341.02499997620.30799999830.10300000010.028999999200.02899999920.01999999960.00999999980.00499999990.00499999990.00999999981111111111
0000.05400000140.20499999820.1759999990.13699999450.12700000410.13199999930.16099999850.14200000460.15099999310.21500000360.29300001260.18099999430.08799999950.33199998740.97699999811.71399998662.32899999622.95900011063.27600002293.21300005913.09100008012.87599992752.71000003812.58299994472.03600001341.24000000950.52200001480.12200000140.03400000180.03400000180.01999999960.01499999970.03400000180.01499999970.02400000021.20000004771.20000004771.20000004771.20000004771.20000004771.20000004771.20000004771.20000004771.20000004771.2000000477
0000.07299999890.24400000270.16099999850.14200000460.13199999930.12200000140.18099999430.18999999760.1759999990.25900000330.30300000310.30799999830.25900000330.87900000812.29500007633.62299990654.62400007254.52099990844.13600015643.5060000423.25699996952.98799991612.85199999812.52900004392.33899998661.76300001140.85900002720.37099999190.10300000010.02400000020.02400000020.00499999990.02400000020.01999999960.01499999971.39999997621.39999997621.39999997621.39999997621.39999997621.39999997621.39999997621.39999997621.39999997621.3999999762
0000.07299999890.26399999860.24400000270.16599999370.15600000320.16099999850.1759999990.18600000440.2000000030.23899999260.34200000760.46900001170.59100002051.99199998383.58400011065.18100023275.2639999394.16499996192.99799990651.76300001141.47899997231.37699997431.44000005721.59200000761.78699994091.59700000290.93699997660.37599998710.14599999790.02899999920.00499999990000.00499999991.60000002381.60000002381.60000002381.60000002381.60000002381.60000002381.60000002381.60000002381.60000002381.6000000238
0000.09799999740.34200000760.31700000170.24400000270.21500000360.18099999430.1759999990.23899999260.25400000810.30799999830.40500000120.57599997521.49899995333.34500002865.08799982075.74700021744.77099990842.94400000571.65499997141.0060000420.76200002430.68800002340.69300001860.81499999761.08399999141.3179999590.87900000810.41499999170.15099999310.0630000010.009999999800001.80000007151.80000007151.80000007151.80000007151.80000007151.80000007151.80000007151.80000007151.80000007151.8000000715
0000.09799999740.37599998710.38100001220.27799999710.24400000270.20999999340.1759999990.21999999880.25400000810.33700001240.47900000210.82999998332.39299988754.8829998976.15700006485.48299980163.72600007061.8070000411.02999997140.65399998430.55199998620.49300000070.47900000210.54699999090.71299999950.99099999670.91799998280.31200000640.09300000220.06800000370.028999999200002222222222
0000.11200000350.44400000570.44400000570.37599998710.28799998760.24400000270.21999999880.20999999340.28799998760.40999999640.58600002530.94700002673.64299988756.30399990086.34800004964.45300006872.289999961900.66900002960.527000010.49799999590.45399999620.43500000240.48800000550.570999980.72799998520.71799999480.16599999370.04899999870.02400000020.004999999900002.20000004772.20000004772.20000004772.20000004772.20000004772.20000004772.20000004772.20000004772.20000004772.2000000477
0000.09799999740.44400000570.52200001480.40500000120.33700001240.28799998760.29300001260.27799999710.28799998760.48300001030.82499998811.32799994954.3756.86499977115.82499980932.85199999811.13800001140.70800000430.54199999570.5030000210.43000000720.42500001190.45399999620.43900001050.49300000070.54699999090.679000020.43900001050.03900000080.01499999970.004999999900.0049999999002.40000009542.40000009542.40000009542.40000009542.40000009542.40000009542.40000009542.40000009542.40000009542.4000000954
0000.13199999930.45399999620.570999980.45899999140.38600000740.34700000290.32699999210.32199999690.35600000620.59600001571.21099996572.05599999435.21000003816.34800004965.21999979022.2360000610.77600002290.54699999090.4490000010.4000000060.37599998710.38100001220.41999998690.40500000120.4490000010.46399998660.6010000110.32699999210.01999999960.00499999990.00499999990.00499999990002.60000014312.60000014312.60000014312.60000014312.60000014312.60000014312.60000014312.60000014312.60000014312.6000001431
000.00499999990.14200000460.48300001030.67400002480.54699999090.45899999140.4000000060.39100000260.4000000060.53200000520.92299997812.37299990653.05699992185.57600021365.64900016784.63399982452.03600001340.63499999050.45399999620.37599998710.32199999690.34200000760.35199999810.34700000290.35600000620.36100000140.38600000740.52200001480.4000000060.10700000080000002.79999995232.79999995232.79999995232.79999995232.79999995232.79999995232.79999995232.79999995232.79999995232.7999999523
000.03400000180.16099999850.4000000060.77100002770.67400002480.54699999090.50800001620.48300001030.54199999570.76200002431.40600001813.59899997714.09200000765.5079998974.90700006483.47699999811.87999999520.58600002530.39100000260.30300000310.27300000190.27300000190.28799998760.33199998740.32199999690.32199999690.36100000140.45899999140.38600000740.01999999960000003333333333
00.01499999970.07299999890.14599999790.43000000720.87400001290.86900001760.81999999280.73699998860.75199997430.92799997331.42100000382.73399996764.99499988565.28299999245.1030001643.73000001912.26600003241.11300003530.49799999590.32699999210.24400000270.19499999280.25400000810.27300000190.25400000810.24400000270.28299999240.28799998760.38100001220.4000000060.0630000010000.0099999998003.20000004773.20000004773.20000004773.20000004773.20000004773.20000004773.20000004773.20000004773.20000004773.2000000477
000.05900000040.20499999820.78600001341.23000001911.34300005441.25999999051.36199998861.47000002861.84599995612.85199999813.97000002865.05900001535.3610000613.93600010872.71000003811.32299995420.58600002530.38600000740.28299999240.18600000440.1759999990.14599999790.20499999820.21500000360.19499999280.18600000440.21999999880.35600000620.29800000790.0289999992000.00499999990003.40000009543.40000009543.40000009543.40000009543.40000009543.40000009543.40000009543.40000009543.40000009543.4000000954
00.01999999960.02400000020.12200000140.43000000720.98100000621.72399997712.15799999242.45600008962.75900006293.29099988943.74000000954.10599994663.753.68199992182.55900001531.58700001240.76200002430.2249999940.24400000270.20999999340.16099999850.16099999850.13199999930.16599999370.18099999430.18099999430.15600000320.21500000360.32699999210.2489999980.0199999996000000.00499999993.60000014313.60000014313.60000014313.60000014313.60000014313.60000014313.60000014313.60000014313.60000014313.6000001431
0.0099999998000.00499999990.18999999760.85900002721.8070000412.53900003433.06200003623.05200004583.04200005532.98300004012.45099997521.74800002571.68900001051.12300002570.75199997430.298000007900.10300000010.19499999280.17100000380.10300000010.13199999930.13699999450.14200000460.16099999850.19499999280.2249999940.31700000170.29300001260.0489999987000.0099999998000.01499999973.79999995233.79999995233.79999995233.79999995233.79999995233.79999995233.79999995233.79999995233.79999995233.7999999523
00.00999999980000.13699999451.05999994281.97300004962.08500003811.82599997521.25999999051.10399997230.98600000140.79100000860.77100002770.48300001030.33199998740.14200000460.05400000140.03400000180.16599999370.17100000380.12200000140.09799999740.11200000350.12700000410.14599999790.20999999340.233999997400.20999999340.0340000018000.004999999900.01999999960.00999999984444444444
0.02400000020.01499999970.01999999960.00499999990.028999999200.01499999970.66900002961.22599995140.93699997660.43900001050.36599999670.36100000140.33700001240.29800000790.13199999930.08299999680.06800000370.02400000020.01999999960.06800000370.16599999370.14200000460.10700000080.12700000410.14599999790.17100000380.21999999880.2489999980.29300001260.2249999940.02400000020.028999999200.00499999990.01499999970.00999999980.01499999974.20000028614.20000028614.20000028614.20000028614.20000028614.20000028614.20000028614.20000028614.20000028614.2000002861
0.00999999980.00499999990.01999999960.00499999990.00499999990.01499999970.02400000020.01999999960.26399999860.26399999860.2000000030.09799999740.09300000220.12200000140.09300000220.0630000010.0630000010.02899999920.03900000080.02400000020.05900000040.11699999870.14599999790.12200000140.10700000080.12700000410.14200000460.23399999740.24400000270.27799999710.18600000440.0630000010.02400000020.02400000020.02899999920.00499999990.00499999990.02400000024.40000009544.40000009544.40000009544.40000009544.40000009544.40000009544.40000009544.40000009544.40000009544.4000000954
0.03400000180.024000000200.028999999200.02400000020.01999999960.00499999990.01999999960.03900000080.04399999980.04399999980.03900000080.01999999960.04399999980.01499999970.01499999970.04399999980.04899999870.03400000180.01999999960.0630000010.10300000010.09300000220.07800000160.10300000010.11200000350.2249999940.26899999380.16599999370.05400000140.02400000020.00499999990.00499999990.01999999960.01999999960.014999999704.59999990464.59999990464.59999990464.59999990464.59999990464.59999990464.59999990464.59999990464.59999990464.5999999046
0.01499999970.009999999800.01499999970.03400000180.00499999990.00499999990.00999999980.02400000020.01999999960.02400000020.00499999990.05900000040.03900000080.02400000020.00499999990.009999999800.01999999960.01999999960.01499999970.03900000080.08299999680.07800000160.07299999890.09799999740.10700000080.21500000360.27300000190.1759999990.07800000160.03400000180.00499999990.00499999990.01499999970.00999999980.004999999904.80000019074.80000019074.80000019074.80000019074.80000019074.80000019074.80000019074.80000019074.80000019074.8000001907
0.00999999980.02400000020.00499999990.00999999980.014999999700.024000000200.00999999980.024000000200.00999999980.004999999900.01999999960.00499999990.03900000080.00999999980.02400000020.01499999970.04399999980.03400000180.0630000010.07299999890.05900000040.09300000220.08299999680.15600000320.27799999710.09799999740.03900000080.02400000020.01499999970.00499999990.00999999980.01499999970.02899999920.00999999985555555555
00.00499999990.02400000020.00499999990.01499999970.014999999700.01499999970.02400000020.02899999920.028999999200.01499999970.01999999960.01499999970.00999999980.03400000180.00999999980.02400000020.02400000020.03900000080.03900000080.01999999960.05900000040.03900000080.05400000140.04899999870.10300000010.26399999860.11200000350.05900000040.02899999920.03400000180.03400000180.01499999970.02400000020.00999999980.00999999985.20000028615.20000028615.20000028615.20000028615.20000028615.20000028615.20000028615.20000028615.20000028615.2000002861
-41.00
-38.00
-35.00
-32.00
-29.00
-26.00
-23.00
-20.00
-17.00
-14.00
-11.00
-8.00
-5.00
-2.00
1.00
4.00
7.00
10.00
13.00
16.00
19.00
22.00
25.00
28.00
31.00
34.00
37.00
40.00
43.00
46.00
49.00
52.00
55.00
58.00
61.00
64.00
67.00
70.00
x (mm)
x' (mrad)
x-x' 3D plot
Sheet3
-107.3600845337-119.3164138794
-92.3213729858-129.8165130615
-83.0932006836-134.5061035156
-75.4854812622-137.5751953125
-68.7594985962-139.7625732422
-62.6146888733-141.3687896729
-56.8930206299-142.5518493652
-51.4990196228-143.4072265625
-46.3697395325-143.9978790283
-41.4610023499-144.3680114746
-36.740398407-144.5500030518
-32.1833190918-144.5684661865
-27.7705059052-144.4426574707
-23.4866008759-144.1879425049
-19.3190727234-143.8168487549
-15.2575778961-143.3397369385
-11.2934436798-142.7652587891
-7.419318676-142.100769043
-3.6289083958-141.3525543213
0.0832200348-140.5260772705
3.7217950821-139.6260223389
7.2909564972-138.6565856934
10.7943534851-137.6213684082
14.2352142334-136.5236053467
17.6164131165-135.3661956787
20.9405155182-134.1516723633
24.2098255157-132.8823699951
27.4264068604-131.560333252
30.5921192169-130.1874389648
33.708656311-128.7653656006
36.7775306702-127.2956314087
39.8001365662-125.779624939
42.7777175903-124.2185897827
45.7114143372-122.6136856079
48.6022567749-120.9659118652
51.4511795044-119.2762298584
54.2590332031-117.5454711914
57.0265846252-115.7744140625
59.754524231-113.9637451172
62.4434890747-112.1140975952
65.0940246582-110.2260284424
67.7066421509-108.3000335693
70.2817687988-106.3365478516
72.81980896-104.335975647
75.3210830688-102.2986450195
77.7858963013-100.2248458862
80.2144775391-98.1148223877
82.6070175171-95.96875
84.9636764526-93.7868041992
87.2845535278-91.5690689087
89.5697097778-89.315612793
91.8191680908-87.0264587402
94.0328979492-84.7015762329
96.2108383179-82.3409118652
98.3528747559-79.9443359375
100.4588623047-77.5117111206
102.5285873413-75.0428314209
104.5618209839-72.5374526978
106.5582580566-69.9952774048
108.5175552368-67.4159698486
110.4393310547-64.7991333008
112.3231277466-62.1443214417
114.1684417725-59.4510192871
115.9747009277-56.7186737061
117.7412872314-53.9466438293
119.4674835205-51.1342315674
121.1525192261-48.2806625366
122.795539856-45.3850708008
124.3955917358-42.4465141296
125.9516296387-39.4639511108
127.4625244141-36.4362258911
128.9269866943-33.3620834351
130.3436431885-30.2401218414
131.7109222412-27.0687961578
133.0271453857-23.8464069366
134.290435791-20.5710697174
135.4986724854-17.2406921387
136.6495361328-13.8529443741
137.740447998-10.4052295685
138.7684631348-6.8946375847
139.7303466797-3.3178930283
140.62236022950.3287020326
141.4403228764.049349308
142.17944335947.8488483429
142.834182739311.7327213287
143.39814758315.7073707581
143.86386108419.7802772522
144.222457885723.9602890015
144.46339416528.2579631805
144.573867797932.6861038208
144.538162231437.2604484558
144.3364410442.0007743835
143.943405151446.9324264526
143.325561523452.088886261
142.437057495157.516002655
141.212158203163.2795143127
139.550384521569.479888916
137.283264160276.2856292725
134.08369445884.0237884521
129.111694335993.5344009399
x (mm)
x' (mrad)
Data filter ellipse
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Filter ellipse size (mm mrad)
rms emittance of enclosed distribution (pi mm mrad)
RMS emittance of enclosed distribution
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Filter ellipse size (mm mrad)
Fraction of current enclosed
Enclosed current fraction versus filter ellipse size
0
0
0
0
0
0
0
0
0
0
0
0
0
Filter ellipse size (mm mrad)
1-Fraction of current enclosed
Enclosed current versus filter ellipse size
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Fraction of Beam
Beam emittance (pi mm mrad)
Intensity - emittance plot
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Percent from max
Beam emittance (pi mm mrad)
Intensity - emittance plot
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Fraction of Beam
Beam emittance (pi mm mrad)
Intensity - emittance plot
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Filter ellipse size (mm mrad)
External current density
External current density versus filter ellipse size
9.68782329564.806043148
11.25173568732.9507362843
12.27216339111.6389143467
13.06104087830.5586423278
13.7111034393-0.3828147948
14.2652482986-1.2283535004
14.7475547791-2.0020546913
15.1731653214-2.7190599442
15.5523462296-3.3896348476
15.8924407959-4.0211248398
16.1989250183-4.6190037727
16.4760074615-5.1874818802
16.7270126343-5.7298803329
16.9546127319-6.2488751411
17.1610012054-6.746658802
17.3480033875-7.2250552177
17.5171527863-7.6855998039
17.6697597504-8.1295995712
17.8069438934-8.558177948
17.9296798706-8.9723091125
18.038816452-9.3728399277
18.135099411-9.7605171204
18.2191848755-10.1359977722
18.2916603088-10.4998674393
18.3530445099-10.852645874
18.4038009644-11.1947984695
18.4443511963-11.5267429352
18.4750709534-11.8488559723
18.496295929-12.1614761353
18.5083370209-12.4649124146
18.5114707947-12.7594404221
18.5059490204-13.0453138351
18.4920024872-13.322760582
18.4698352814-13.5919885635
18.4396400452-13.853187561
18.4015846252-14.1065263748
18.3558254242-14.3521623611
18.3025035858-14.5902357101
18.2417469025-14.8208723068
18.1736660004-15.0441865921
18.0983657837-15.2602806091
18.0159358978-15.4692459106
17.9264583588-15.6711626053
17.8300037384-15.866101265
17.7266311646-16.0541229248
17.6163921356-16.2352809906
17.4993343353-16.4096164703
17.3754863739-16.5771636963
17.2448787689-16.7379512787
17.1075286865-16.8919944763
16.9634437561-17.0393047333
16.8126296997-17.1798839569
16.6550769806-17.3137245178
16.4907722473-17.4408149719
16.3196926117-17.561132431
16.1418113708-17.6746444702
15.9570856094-17.7813129425
15.7654695511-17.8810920715
15.5669050217-17.9739227295
15.361328125-18.0597400665
15.1486616135-18.1384677887
14.92882061-18.2100200653
14.7017068863-18.2743015289
14.4672136307-18.3312034607
14.2252197266-18.3806037903
13.9755916595-18.4223690033
13.7181797028-18.4563541412
13.4528226852-18.4823913574
13.1793403625-18.5003032684
12.8975334167-18.5098896027
12.6071834564-18.5109348297
12.3080511093-18.5031967163
11.9998683929-18.4864082336
11.6823453903-18.4602813721
11.3551588058-18.4244880676
11.0179481506-18.3786716461
10.6703186035-18.3224372864
10.3118267059-18.2553405762
9.9419794083-18.1768875122
9.5602254868-18.0865287781
9.1659431458-17.9836406708
8.758430481-17.8675231934
8.3368902206-17.7373771667
7.9004125595-17.5922927856
7.4479494095-17.431224823
6.9782862663-17.2529563904
6.4900035858-17.0560684204
5.9814243317-16.8388824463
5.450545311-16.5993976593
4.8949379921-16.3351860046
4.3116154671-16.043258667
3.6968307495-15.7198677063
3.0457737446-15.3602056503
2.3520932198-14.9579200745
1.6070957184-14.50431633
0.7983109355-13.9869260788
-0.0933241472-13.3866863251
-1.0997651815-12.6716394424
-2.2830405235-11.7797584534
-3.8024992943-10.5516939163
x (mm)
x' (mrad)
RMS data ellipse
0
0
0
0
0
0
0
0
0
0
0
0
0
0
ln(1/1-f)
Beam emittance (pi mm mrad)
Intensity - emittance plot
a=-1.2699999809-4.462135791800-0.1289970279-0.19220781336.79699993136.796999931300.2000000030.4000000060.60000002380.800000011911.20000004771.39999997621.60000002381.800000071522.20000004772.40000009542.60000014312.799999952333.20000004773.40000009543.60000014313.799999952344.20000028614.40000009544.59999990464.800000190755.20000028618.20000076298.40000057228.60000038158.800000190799.20000076299.40000057229.60000038159.80000019071010.200000762910.400000572210.600000381510.80000019071111.200000762911.400000572211.600000381511.80000019071212.200000762912.400000572212.600000381512.80000019071313.200000762913.400000572213.600000381513.80000019071414.200000762914.400000572214.600000381514.800000190715
b=0.0500000007-4.372793197600-0.1289970279-3.19220781336.54300022136.5430002213-41.000.00499999990.02899999920.02400000020.02899999920.0049999999000000000000000.009999999800.02400000020.00999999980.03400000180.01499999970.0099999998000000000000000000000000000000000000
g=52.2579994202-4.283450603500-0.12899702792.80779218675.98099994665.9809999466-38.0000.01999999960.02400000020.03400000180000000000000.014999999700.019999999600.00999999980.01499999970.00499999990.02400000020.00999999980.02400000020.004999999900000000000000000000000000000000000
e=400-4.194108009300-0.1289970279-6.19220781335.65399980555.6539998055-35.000.04899999870.03900000080.03900000080.02400000020.02400000020000000000.00499999990.03400000180.07299999890.05900000040.0240000002000.01999999960.0199999996000.00499999990.024000000200000000000000000000000000000000000
-4.104765415200-0.1289970279-9.19220733645.06300020225.0630002022-32.000.15600000320.16099999850.12700000410.09799999740.10700000080.12200000140.05400000140.07299999890.07299999890.09799999740.09799999740.11200000350.09799999740.13199999930.14200000460.16099999850.14599999790.20499999820.12200000140.004999999900.00499999990.00499999990.02899999920.01499999970.00999999980.004999999900000000000000000000000000000000000
-4.01542282100-0.12899702795.80779218674.95599985124.9559998512-29.000.26399999860.28299999240.2489999980.2489999980.23899999260.22900000210.20499999820.24400000270.26399999860.34200000760.37599998710.44400000570.44400000570.45399999620.48300001030.4000000060.43000000720.78600001340.43000000720.189999997600.02899999920.004999999900.03400000180.01499999970.014999999700000000000000000000000000000000000
-3.926079988500-0.328997016-3.19220781334.55100011834.5510001183-26.000.21999999880.20999999340.21999999880.21999999880.20499999820.20499999820.1759999990.16099999850.24400000270.31700000170.38100001220.44400000570.52200001480.570999980.67400002480.77100002770.87400001291.23000001910.98100000620.85900002720.136999994500.01499999970.02400000020.004999999900.014999999700000000000000000000000000000000000
-3.836737155900-0.1289970279-12.19220733644.49700021744.4970002174-23.000.12200000140.16099999850.1759999990.20999999340.18099999430.16599999370.13699999450.14200000460.16599999370.24400000270.27799999710.37599998710.40500000120.45899999140.54699999090.67400002480.86900001761.34300005441.72399997711.8070000411.05999994280.01499999970.02400000020.01999999960.00499999990.0240000002000000000000000000000000000000000000
-3.7473943233000.0710029602-0.19220781334.36000013354.3600001335-20.000.10700000080.12700000410.13699999450.13699999450.13699999450.14200000460.12700000410.13199999930.15600000320.21500000360.24400000270.28799998760.33700001240.38600000740.45899999140.54699999090.81999999281.25999999052.15799999242.53900003431.97300004960.66900002960.01999999960.00499999990.009999999800.014999999700000000000000000000000000000000000
-3.658051490800-0.328997016-0.19220781334.34600019454.3460001945-17.000.09300000220.11200000350.12200000140.10700000080.13199999930.13699999450.13199999930.12200000140.16099999850.18099999430.20999999340.24400000270.28799998760.34700000290.4000000060.50800001620.73699998861.36199998862.45600008963.06200003622.08500003811.22599995140.26399999860.01999999960.02400000020.00999999980.024000000200000000000000000000000000000000000
-3.568708658200-0.12899702798.80779266364.30200004584.3020000458-14.000.08799999950.10300000010.10300000010.12200000140.13699999450.12200000140.16099999850.18099999430.1759999990.1759999990.1759999990.21999999880.29300001260.32699999210.39100000260.48300001030.75199997431.47000002862.75900006293.05200004581.82599997520.93699997660.26399999860.03900000080.01999999960.02400000020.028999999200000000000000000000000000000000000
-3.479365825700-0.328997016-6.19220781334.2719998364.271999836-11.000.09300000220.10700000080.12700000410.14599999790.13699999450.13699999450.14200000460.18999999760.18600000440.23899999260.21999999880.20999999340.27799999710.32199999690.4000000060.54199999570.92799997331.84599995613.29099988943.04200005531.25999999050.43900001050.2000000030.04399999980.024000000200.028999999200000000000000000000000000000000000
-3.390022993100-0.1289970279-15.19220733644.1110000614.111000061-8.000.07800000160.11200000350.15099999310.15600000320.16599999370.14599999790.15099999310.1759999990.2000000030.25400000810.25400000810.28799998760.28799998760.35600000620.53200000520.76200002431.42100000382.85199999813.74000000952.98300004011.10399997230.36599999670.09799999740.04399999980.00499999990.0099999998000000000000000000000000000000000000
-3.3006801605000.07100296022.80779218673.94000005723.9400000572-5.000.02899999920.02400000020.10700000080.1759999990.18099999430.21500000360.21500000360.25900000330.23899999260.30799999830.33700001240.40999999640.48300001030.59600001570.92299997811.40600001812.73399996763.97000002864.10599994662.45099997520.98600000140.36100000140.09300000220.03900000080.05900000040.00499999990.014999999700000000000000000000000000000000000
-3.21133732800-0.1289970279-18.19220733643.82800006873.8280000687-2.000.01999999960.02400000020.01499999970.0630000010.15099999310.21999999880.29300001260.30300000310.34200000760.40500000120.47900000210.58600002530.82499998811.21099996572.37299990653.59899997714.99499988565.05900001533.751.74800002570.79100000860.33700001240.12200000140.01999999960.039000000800.019999999600000000000000000000000000000000000
-3.121994495400-0.3289970162.80779218673.81800007823.81800007821.000.00999999980.00499999990.014999999700.05400000140.05900000040.18099999430.30799999830.46900001170.57599997520.82999998330.94700002671.32799994952.05599999433.05699992184.09200000765.28299999245.3610000613.68199992181.68900001050.77100002770.29800000790.09300000220.04399999980.02400000020.01999999960.014999999700000000000000000000000000000000000