German Physical Society Simulation of Radiofrequency Accelerators · 2019. 6. 4. · Step by Step...
Transcript of German Physical Society Simulation of Radiofrequency Accelerators · 2019. 6. 4. · Step by Step...
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Simulation of Radiofrequency Accelerators
by Alexander Müller and Isabelle Strecker
Supervisor:
Hermann Pommerenke
17.05.2019
HSSIP 2019
https://design-guidelines.web.cern.ch/logo-0
https://en.wikipedia.org/wiki/German_Physical_Society
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Structure
• 1.) Step by Step modelling of an electrostatic accelerator
• 2.) Optimizing the electrostatic accelerator
• 3.) Modelling of a RF Cavity
• 4.) Experiment with soup can
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Step by Step modelling of an electrostatic accelerator• All simulations are made
with CST microwave studio
• Two PEC1 plates are constructed opposite towards each other
• A Vacuum is put in between of them
• To one plate a voltage of -5V is applied
1 Perfect Electric Conductor
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Step by Step modelling of an electrostatic accelerator
• Electric field• Two opposite plates
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Step by Step modelling of an electrostatic accelerator• A circle is cut into the
plates
• Particles now have a way to get through
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Step by Step modelling of an electrostatic accelerator
• Electric field• Two opposite plates• With holes
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Step by Step modelling of an electrostatic accelerator
• Cutting out rings
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Step by Step modelling of an electrostatic accelerator
• Electric field• Two opposite
ring plates
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Step by Step modelling of an electrostatic accelerator
• Rounding off the edges
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Step by Step modelling of an electrostatic accelerator
• Electric field• Two opposite ring
plates• Rounded edges
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Optimizing the electrostatic accelerator
(Adjustment of the previous to realistic Numbers)
• Changing the inner radius
• Inner radii values from 2.5cm to 12.5cm
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Optimizing the electrostatic accelerator
Smaller inner radius
With a decreasing inner radius, the electric field gets stronger in the accelerating gap
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Optimizing the electrostatic accelerator
Inner radius 0.025 Inner radius 0.125
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• Changing the edge radius
• Edge radii values from 0.1cm to 5cm
Optimizing the electrostatic accelerator
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Optimizing the electrostatic accelerator
Smaller edge radius
With a decreasing edge radius, the electric field in the accelerating gap gets stronger
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Optimizing the electrostatic accelerator
Edge radius 0.005 Edge radius 0.05
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Modelling of a RF Cavity
• Creating a cylinder made of copper
• Inner domain is made of vacuum
• Radius of the cylinder is adjusted to a frequency of 1GHz
f0=c*χ01/2πr
χ is the first null of the Bessel function
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Modelling of a RF Cavity
• Electric field• Cavity with copper shell and
vacuum
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Modelling of a RF Cavity
• Creating a thinner, longer cylinder Acting as beam pipe• Edges are rounded off
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Modelling of a RF Cavity
• Electric field• Cavity with cylinder
through middle
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Flat Cavity Elliptic Cavity
R over Q (Ohm) 60.418 286.096
Q-Factor 12000 17000
Frequency GHz 0.6 1Surface Emission (Emax/Eacc) 1.91 3.79Magnetic quench (mT/(MV/m)) 4.125 2.27
Comparison of different aspects between a flat and an elliptic cavity
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Experiment with soup can
• Installation of an input coupler inside of the can
Magnetic loop antenna• Antenna will be aligned to the direction
of the magnetic field of the desired mode
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Experiment with soup can
• Open side of the can is covered with aluminium foil
• Coaxial cable is connected to the antenna
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Experiment with soup can
• Magnetic field has a vortex shape• Antenna is adjusted to excite this mode
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Experiment with soup can
• Magnetic field of the antenna is going through the middle of the two loops
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Experiment with soup can
• Repetition of the experiment
• Antenna will be rotated by 90°
• Now the antenna should excite other modes
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Experiment with soup can
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Thank you fors attention!
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Quellen
• CST microwave studio
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Bessel function
http://home.datacomm.ch/chs/Container/Science/bessel_2.jpg