Selected abstracts in radio science - nvlpubs.nist.gov · topside-sounder satellites and from...

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RADIO SCIENCE Journal of Research NBS/ USNC-URSI Vol. 69D, No. 8, August 1965 Selected Abstracts in Radio Science * Determination of the ionospheric electron content utilizing satellite signals, P. R. Arendt , A. Papayoanou , and H. Soicher, Proc. IEEE 53, No.3, 268- 277 (Mar. 1965). Various me thod s for the de termination of the ionospheric el ec tron c ont e nt ar e po ss ible when satellit e-borne signals can be used. Th e pap er compare s the res ult s from Doppler shifts, Faraday rotation, Doppler data c ombin ed with Faraday rotation data, and topside and bottomside s oundings. Th e often negl ec ted prerequisite for the application of Doppler and Faraday method s is radio propagation along the s am e ionos ph eric path for the different frequencies in- volved. Crit eria for correc t application ar e di sc usse d. Th e com- parison of infl ec tion time mome nt s is c ho se n for data selection. Th e usage of the Doppler slop es at the time of simultaneous infl ec ti on provid es reliable data of the elec tr on content. Th e diurn al vari- ation is giv en. Th e Farad ay rotation rate meas ur ement has been made a co ntinuous one by spec ial e quipm e nt of G. Vogt. Th e simultaneous use of two Doppler slopes at differe nt fr equencies and of the Fara da y rotation rate at one of th ese frequencies res ult s in the meas ur ement of the e ffec tiv e co mponent of the geomagne ti c fi e ld s. Thu s, a method fr ee from any ass umptions is on hand for the elec tr on c ont e nt. From the radi o- fre qu ency sounding of the topside-s ound er s at ellit es and from s imultan eo us bottoms id e so und - ings a complete ionosphe ri c profile is obtained, the int egration of which results in data for the total content. A co mp a ri son of the res ults of the different methods is permitted within the limitations brought ab out by the various th eo re ti c al and experimental ass ump- ti ons made. Radiation r es istance of an eleme ntary 1001} antenna in a magnetoionic medium, H. W e il and D. Walsh, IEEE Tra ils. Alit. Prop. AP- 13, No .1 , 21-27 (J ail. 1965). Ra di a ti on res is tan ce for an elementary loop ant enna immerse d in a magnetoionic pl as ma is inves ti g at i! d. Base d on an int eg ral ex pres· sion given by Kogelnik and Motz, extens iv e nume ri ca l results are obtain ed and the ir validity and utility are discussed. In addition a simple analytic e xpress ion is de rived for the case of s mall magne ti c fi elds. Admittance of a waveguide radiating into stratified plasma , 1. Galejs, IEEE Trails. Alit. Prop. AP - 13, No .1 , 64- 70 (Jail. / 965). A slot covered by a s tr atified plasma is assumed to radiate into a wide wav eguide instead of fr ee space. Th e slot a dmittan ce approxi· mates th e fr ee s pace a dmittan ce of the slot for waveguide diameters excee ding 6 to 101-... For thick plasma layers the c omput ed slot admittan ce ch ec ks with earlier admitt ance c al culations for a lat erally unbound ed plasma. When approximating a plasma profile of a typi c al hypersonic re·e ntry, a multilayer plasma model in a wide waveg uide a pp e ars to provide a more ac curate slot admittance than a singl e- layer approximation in a laterally unbound ed geome tr y. Radiation from a uniformly moving distribution of electric charge in an anisotropic, compressible plasma, H. S. Tuan and S. R. S es hadri, IEEE Trans. Ant. Prop. AP-13, No.1 , 7/- 78 (jan . 1965). Th e radiation c hara cte ri s ti cs of a linear distribution of electric charge moving with a uniform ve lo city in a homogeneous electron pl asma of infinite exte nt ar e inv es tigated for the case in which a uni· form static magnetic fi e ld is impressed externally throughout the me dium. Th e line ar di s tribution of charge and its direction of motion are ass umed to be parallel and perpendicular, respectively, to th e dir ec tion of the external ma gne ti c field. Of the two possible mod es of waves of s mall a mplitude, namely, the modified electro- magnetic mode and the modified ele ctron plasma mode, the uni- formly moving c har ge di s tribution exc it es the modified ele ctron plasma mode. Th e emitted radiation has no frequencies less th an the plasma frequency. For a particular value of the ratio of the gyrotropic to the pl as ma fre qu ency of the elec trons, the frequency and the angul ar spec trum of the emitted ra di a ti on are determined for two valu es of thc veloc ity of the charge. Radiation f,'om electromagnetic s ource s in a plasma, S. R. Seshadri, IEEE TrailS. Alit. Prop. AP-13, No . I, 79-88 (Jail . 1965). Th e radiation from elec tromagn e ti c so ur ces in an unbound ed, isotropic plasma is treat e d. Using a two- fluid magnetohydro- dynamic appr oach, the problem is formulated in te rm s of thr ee o rt hog- onal mod es , name ly , i) the ele ctromagn etic mod e, ii ) the elec tr on plasma mode and iii) th e ion plasma mode. When formulated in this manner, the radiation from simple elec tromagnetic so ur ces ar e o bt ained eas il y. Thr ee spec ifi c s our ces are tr ea ted, name'ly, i) a po int so ur ce of elec tri c c urr e nt , ii ) a uniformly moving c har ge and iii ) a sho rt fil a me nt with presc ribed c urr e nt di stributio n. For the case of the elec tric dipole and the c urr e nt filament, the total power radiated in eac h of the thr ee mod es ar e obtain ed. A point charge moving uniformly with the velocit y of s ound , for example, is found to exc it e o nl y the ion pl as ma mode. Th e fre qu ency and the ang ul ar spec trum of the emitted ra di a ti on are obtain ed. It is found that at fre qu encies less than a c' iti ca l frequency which is ap proximately equal to Y2 times the ion pl asma frequency, the radia ti on has the charac ter of a simple sound wave. I"eaky waves s upported by uniaxial plasma layers, C. Me lt z and R. A. Shore, IEEE Trail S. Ant. Prop. AP-13, No. 1, 94- 105 (J a il . 1965). Eac h discrete complex wave s upp ort ed by a unia xi al layer co rr e- sponds to an isolated s in g ul a rit y in an a ppropriate Green's fun c ti on. Th e loca ti on of a singularity d epe nds on the geometry, pl as ma den· sit y, and the direc ti on of the magne ti c fi eld, but not on the so ur ce. We have derived the di sc rete solutions for an infinite magne ti c fi e ld that is parallel or perpendicular to the slab inte rfaces . For a para ll el fi e ld , analyti c ex press ions are obt ained that yield the exac t l oca ti ons of the complex pole loc i. Although similar expr ess ions ca nnot be obt ained if the fi e ld is pe rpendic ul ar, the reso nan ce re la - ti on which locates t he po les ca n be solved by methods developed for an iso tro pi c pl as ma. We find that improper modes and surface waves ca n be s upp ort ed in the case of a par allel fi e ld , whil e a perpendicular fi e ld permits spec tr al complex mod es as weU. Th ese results are applied to a Kirchhoff-Huygens int eg ration of the lea k y- wave distribution excited by a magn e ti c line so ur ce or an a nnular slot. A cl ose co rr elation is shown between the radiation pattern derived by this proc edure and the exact patt ern ca lculated by the method of stee pest descent. In particular, it is shown that the app e aran ce of a peak in the patt e rn can be analytically co rrelated with the c ontributin g pol e, provided it c orres ponds to a dominant leaky wave. Radiation propagating transverse to the external magnetic field from an electromagnetic source in an unbounded plasma, S. R. S es hadri, IEEE Trans . Ant . Prop . AP-12, No. 1, 106-115 (jan. 1965). Th e radiation c hara cteristics of a line so ur ce of magne ti c c urr ent e mbedded in an unbound ed plasma are inv es ti gated for the case in which a uniform magne ti c fi e ld is impresse d e xt erna ll y thr oughout the medium in the dir ec ti on of the so ur ce . Th e pl asma is ass umed to be a homogen eous and macrosco pi ca ll y ne utr al mixture of co mpr ess ible gas of el ec tr ons and ions. A two-fluid co ntinuum theory of plasma dyna mi cs is emplo ye d. It is sho wn that it is poss i- bl e to de fin e thr ee suita bl e wave functions whi ch satisfy se parat ely simple wave equa ti ons wh ose solutions are written down by inspec- tion. Th ese wave fun c ti ons specify the thr ee po ssible modes which ar e identified, respec tively, to be the modified forms of the electro- magne ti c, the elec tron plas ma and the ion plasma modes. Th e limiting behavior of th ese modes are di sc ussed for the following two 1197

Transcript of Selected abstracts in radio science - nvlpubs.nist.gov · topside-sounder satellites and from...

RADIO SCIENCE Journal of Research NBS/USNC-URSI

Vol. 69D, No. 8, August 1965

Selected Abstracts in Radio Science *

Determination of the ionospheric electron content utilizing satellite signals, P. R. Arendt , A. Papayoanou, and H. Soicher, Proc. IEEE 53, No.3, 268- 277 (Mar. 1965). Various methods for the determination of the ionospheric elec tron conte nt are possible when satellite-borne signals can be used. The paper compares the results from Doppler shifts , Faraday rotation, Doppler data combine d with Faraday rotation data, and topside and bottomside soundings . The often neglected prerequi site for the application of Doppler and Faraday methods is radio propagation along the same ionospheric path for the differe nt freque ncies in­volve d. Criteria for correct application are discussed . The com­parison of inflec tion time moments is c hose n for data selec tion. The usage of the Doppler slopes at the time of s imultaneou s inflec tion provides reliable data of the e lectron co nte nt. The diurnal vari ­ation is given. The Faraday ro tation rate measure me nt has been made a continuous one b y special equipme nt of G. Vogt. The simultaneous use of two Dopple r slopes a t differe nt frequ encies and of the Faraday rotation rate at one of these freque nc ies res ult s in the measure me nt of the e ffec tive compone nt of the geom agneti c fi e lds. Thu s, a method free from any ass umptions is on hand for the electron conte nt. From the radio-freque nc y sounding of the topside-sounder satellites and from simultaneous bottoms ide sound­ings a co mplete ionospheri c profile is obtained, the integration of which res ults in data for the total content. A compa ri son of the results of the different methods is pe rmitted within the limitations brought about by the various theoreti cal and experime ntal ass ump­tions made .

Radiation r esistance of an elementary 1001} antenna in a magnetoionic medium, H. Weil and D. Wals h, IEEE Trails. Alit . Prop . AP- 13, No .1 , 21-27 (Jail. 1965). Radiatio n res istance for an e leme ntary loop ante nn a immersed in a magnetoionic plas ma is inves tigati!d. Based on an integral expres· sion given by Kogelnik and Motz, exte nsive numerical res ults a re obtained and their validity and utilit y are di scussed. In additi on a simple a nalytic express ion is de rived for the case of s mall magneti c fi e lds .

Admittance of a waveguide radiating into stratified plasma , 1. Galej s, IEEE Trails. Alit . Prop. AP- 13, No .1 , 64- 70 (Jail. / 965). A slot covered by a stratifie d plas ma is a ssumed to radiate into a wide waveguide instead of free sp ace . The slot admittance approxi· mates the free space admittance of the slot for waveguide diame te rs exceeding 6 to 101-... For thic k plasma layers the computed slot admittance checks with earlier admittance cal culations for a laterall y unbounde d plas ma. When approximating a plas ma profile of a typic al hypersonic re·e ntry, a multilaye r plasma model in a wide waveguide appears to provide a more accurate slot admittance than a single- layer approximation in a laterally unbounded geometry.

Radiation from a uniformly moving distribution of electric charge in an anisotropic, compressible plasma, H. S. Tuan and S. R. Seshadri, IEEE Trans. Ant. Prop. AP-13, No.1 , 7/ -78 (jan . 1965). The radiation characteris tics of a linear distribution of electric charge moving with a uniform velocity in a homogeneous electron plas ma of infinite extent are investigated for the case in which a uni· form s tatic magneti c fi e ld is impressed externally throughout the medium. The linear di stribution of charge and its direction of motion are ass umed to be parallel and perpendicular, respectively, to the direction of the exte rnal magne ti c field. Of the two possible modes of wa ves of s mall amplitude, namely, the modified electro­magneti c mode and the modifie d electron plasma mode, the uni­formly moving charge di stribution exc ite s the modified electron plasma mode . The emitted radiation has no frequencies less th an the plas ma frequ ency. For a parti c ular value of the ratio of the

gyrotropic to the plas ma freque ncy of the e lectrons , the freque ncy and the angula r spec trum of the e mitt ed radi ation are determined for two values of thc velocit y of the c harge.

Radiation f,'om electromagnetic sources in a plasma, S. R. Seshadri, IEEE TrailS. Alit . Prop . AP-13, No . I, 79-88 (Jail . 1965). The radiation from electromagneti c sources in an unbounded , isotropic plas ma is treated. Using a two-fluid magne tohydro­dynamic approach, the proble m is formulat ed in te rms of three ort hog­onal modes, na mely, i) the electromagnetic mode, ii ) the e lectron plas ma mode and iii) the ion plasma mode. Whe n formulated in thi s manne r, the radi ation from simpl e electrom agneti c sources are obtained eas il y. Three specifi c sources are treated, na me'ly, i) a po int source of elec tri c curre nt , ii) a uniforml y moving c harge and iii) a short fil a me nt with presc ribed c urre nt di s tribution. For the case of the e lectri c dipole a nd th e c urrent filam ent , the total powe r radiated in each of the three modes are obtained. A point c harge moving uniforml y with the ve locit y of sound , for example, is found to exc it e onl y the ion pl as ma mode. The frequency and the angular spectrum of the e mitted radi a tion are obtained. It is found that a t freque ncies less than a c' itica l frequ ency which is approximat ely equ al to Y2 times the ion pl as ma freque ncy, the radi ation has the c ha racte r of a simple sound wave.

I"eaky waves supported by uniaxial plasma layers, C. Melt z and R. A. Shore, IEEE TrailS. Ant. Prop. AP-13, No. 1, 94-105 (Jail . 1965). Each disc rete co mplex wave supported b y a uniaxi al laye r corre­s ponds to an iso lated singularit y in an appropria te Gree n's fun ction. The location of a singularit y depe nds on the geometry, plas ma den· sit y, and the direction of the magneti c fi e ld , but not on the source. We have der ived the di screte so lutions for an infinite magneti c fi e ld that is paralle l or perpe ndicula r to the slab int erfaces . For a pa ra ll e l fi e ld , anal yti c express ions are obtain ed that yield the e xac t locations of the co mplex pole loci. Although simil a r e xpress ions cannot be obtained if the fi e ld is perpe ndic ular, the reso nance re la­tion which locates t he poles can be so lved b y methods developed for an isotropic plas ma. We find that improper modes and s urface waves can be supported in the case of a parallel fi e ld , while a pe rpendicula r fi e ld pe rmits spectral complex modes as we U. These res ults are applied to a Kirc hhoff-Huygens integration of the leaky-wave distribution excited by a magneti c line source or a n annular slot. A close correlation is shown between the radiation pattern derived by thi s procedure a nd the exact pattern calc ulated by the method of s teepest desce nt. In particular, it is shown tha t the appearance of a peak in the pattern can be analytically corre la ted with the contributing pole, provided it corresponds to a dominant leaky wave .

Radiation propagating transverse to the external magnetic field from an electromagnetic source in an unbounded plasma, S. R. Seshadri , IEEE Trans . Ant. Prop . AP-12, No. 1, 106-115 (jan. 1965). The radiation characteris tics of a line source of magne ti c current e mbedded in an unbounded plas ma are inves tiga ted for the case in which a uniform magnetic fi e ld is impressed ext ern ally throughout the medium in the direction of the source. The pl as ma is assumed to be a homogeneous a nd mac roscopically neutral mixture of compressible gas of e lectrons a nd ions. A two-fluid continuum theory of plasma dyna mics is employed. It is shown that it is poss i­ble to define three suitable wave fun c tions whi ch sati sfy separately simple wave equ ations whose so lutions are written down b y ins pec­tion. These wave fun c tions spec ify the three poss ible modes whic h are identified, res pec tively, to be the modifi ed form s of the electro­magneti c, the electron plas ma and the ion plasma modes. The limiting be havior of these modes are discussed for the following two

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cases: 1) infinite source frequency and 2) vanishing external mag· netic field. The dispersion relations for the three modes are ex· amined in detail for the general case usi ng a perturbation procedure. It is shown that the modified ion plasma (MIP) mode propagates for all frequencies whereas both the modified electron plasma (MEP) mode and the modified electromagnetic (MEM) mode have a low· frequency cutoff. Explicit expressions for the c utoff frequencies are obtained. The power radiated in each of the three modes is also evaluated. It is found that the power radiated in the MEM mode is always lower than that due to the line source in free space, whereas the power radiated in the two plasma modes is higher than that value for certain ranges of frequency.

Admittance of waveguide radiating into plasma environ­ment, A. T. Villeneuve, IEEE Trans. Ant. Prop. AP-13, No. 1, 115-121 (jan. 1965). Several important effects on radio transmission occur during the reentry of a space vehicle into the earth's atmosphere. Of these effects, signal variation due to changes in antenna admittance may be significant. These changes result from the formation of an ionized sheath about the vehicle as it reenter"s the atmosphere. The sheath may have a profound effect on the propagation of elec· tromagnetic waves and may thereby modify the antenna admittance characteristics. Knowledge of the input admittance of the antenna enables one to compute the field amplitudes at the antenna input terminals when fed by a specified power source and, from thi s, to determine the change in radiated signal leve l that results from antenna mismatch. This change in radiated signal level is in addi· tion to that due to pattern distortion. Besides the c!.ange in radio ated signal level, the reflected wave may adversely affect operation of the transmitter a nd may even result in transmitter burnout. This report investigates the changes in input admittance of a rectangular waveguide terminated in a groundplane covered by a uniform plasma slab contiguous with the groundplane. Such radiators provide wide angular pattern coverage and find application as telemetry and communication antennas in reentry vehicles. Numerical calculations have been performed for the case of lossless plasmas in which the electron densities are all below the critical density, i.e., the effective relative permittivity of the slab ranges between zero and unity. Curves of input conductance and susceptance for this configuration are given as a function of relative permittivity for several slab thicknesses. These addmittance values are used to compute reflection coefficients and signal loss resulting from mis· match. These are also presented graphically. The calculations show that, except for thin slabs, the aperture admittance is very close to that for a slab of infinite thickness. A qualitative explana· tion of this effect is also given.

Scattering of radio waves by dense turbulent plasmas, L. S. Taylor, IEEE Trans. Ant. Prop. AP-13, No. 1,122-126 (jan. 1965). An analysis is made of the scattering of radio waves by plasmas in which turbulent variations of free·electron number density occur. Second·order terms for the scattered field are included. An addi· tional term (as compared to the first·order Born approximation) is found in the expression for the scattering cross section. This term is proportional to Y(Wp/W)2 where y is a numerical factor determined by the scale of the turbulence.

Electromagnetic scattering from an extended laminar plasma column, H. S. Rothman, IEEE TrailS. Ant. Prop. AP-13, No.1, 164-169. This paper is concerned with examining in the laboratory the back· scattering from a simplified ionized target in the form of an extended laminar plasma colum n. Measured results, compared with cal· culations based on a homogeneous model approximation that incor· porates the measured e lectrical parameters of the column, show that the column scatters electromagnetic energy that is polarized with the e lectric vector along the axis of the column, in the same manner as a homogeneous colu mn of critical density with the column radius equal to that of the critical electron density contained within the column.

Observations of the effect of mal!;netic fields on the radiation from plasma-covered antennas, G. Meltz and H. J. Schmitt, IEEE Trans. Ant. Prop. AP-13, No. I , 169-173 (jan. 1965).

Measurements of the broadside radiation from an anisotropic plasma· covered s lot are compared with theoreti cal predictions which neglect input impedance changes and coupling to e lectroacousti c or Tonks· Dattner resonances. For a magnetic field normal to the plasma layer, the results demonstrate transmission enhancement and under· score the necessity of a s trong field (We> w). They also highlight some of the limitations of existing theoretical treatments. In parti. cu lar, it is concluded that collisional damping, impedance variations, and e lectroacoust ic resonances must be included for an accurate prediction of magnetic field effects. The experimenta l system con· sists of a narrow aperture in a large grou nd screen covered by a bank of long discharge tubes which are collective ly equivalent to a plane layer. All measurements are performed at a fixed frequency of 565 Mc during the afteqdow of the pulsed discharge.

Cavity resonances fol' a spherical earth with a concentric anisotropic shell, J. R. Wait, J. Atmospheric Terrest. Phys. 27, No.1, 81-89 (Jail. 1965). A boundary-value problem of a concent ri c spherica l system involvin g: anisotropic media is considered. Rather gross simplifications are made in order to achieve tractability and yield physical insight. The principal idealization is the representation of the concentri c plasma layer by a thi n shell of ionization. The derived results have some relevance to the phenomenon of resonance in the concentric cavi ty formed by the earth and the ionosphere. For example, it is shown that the earth's magnetic field and the electron co lli sons both contribute to the damping of the cavi ty resonances.

On the twilight sodium emission-2: A theoretical model of sodium abundance, M. Gadsden, Ann. Geophys. 20, No.4, 383-396 (Oct.-Dec. 1964) . Hunten's theoretical treatment is examined and modified to take account of the chan~es in the negative ion density and in the chemi· cal equilibrium of sodium from day to night. It is shown that the seasonal variation predicated from these cons iderations has too small an amplitude to agree with the observed diurnal variation; the in· c lus ion of charge exchange from magnesium ions and the change in le ngths of day and night due to mesospheric winds is insufficient to remove the discrepancy. It appears to be necessary to include a vertical wind term - subsidence and ascension of the mesospheric region -to reconcile the seasonal and diurnal variations. An appendix reviews the evidence from recent observations of lithium which is considered to confirm the existence of the mesospheric meridional wind system required to account for the postulated vertical wind.

International intercomparison of standards for microwave power measurement, G. F. Engen, Acta I meko 1964, Proc. Third Illtem. Measurement Con! 1,337- 346 (Budapest 1964). In compli ance with a recommendation of the International Scientific Radio Union (URSI), intercomparisons of microwave power stand· ards have been made between Japan, The Uniteil Kingdom, and the United States. Initially, there was a rather large difference in Japan·United States comparisons; but after several improvements in the design of the bolometer mounts employed as a transfer standard, consistently good agreement of the order of a few tenths of a percent has been realized. In intercomparisons between the United Kingdom and either Japan or the United States, there was a small but rather consistent dif· ference in the initial results. Again, the agreement has improved with more recent comparisons. In Japan and the United States the microcalorimetric and impedance methods were employed to evaluate the bolometer mount efficiency, whereas in the United Kingdom a combination of calorimetric, force· operated, and bolometric methods were used. The close agree· ment achieved is thus particularly significant because of the wide differences in the basic principles of the techniques employed.

A waveguide noise-tube mount for use as an interlaboratory noise standard, C. K. S. Miller, W. C. Daywilt, and E. Campbell, Acta Imeko 1964, Proc. Third Intern. Measurement COil! 3,371-382 (Budapest 1964). Radio astronomy and noise measuring systems have laid heavy stress on the need .for noise s tandards covering an increasingly larger frequency range. In response to this need, the Nationa l Bureau of Standards recently has completed work in National Stand·

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ards a nd co mpa ri son systems for calib rat ing microwave noise sources in WR90 (8.2 to 12.4 Gc) and WR62 (12.4 to 18.0 Gc) wave· guide. T his avai labili t y has, in turn , IJlaced more emp has is on the need for good int erl abo ratory noise standards. The gas-d ischarge noise tube makes a very stable, long.life source for use in a n inter· laboratory standard. Howeve r, the avai labl e noise source mounts exa mined did not have the required characteri stics for use in thi s qua lit y of standard. This paper di scusses experimental data of gas·d ischarge noise sou rces ga thered over a period of two years and indicates where improvements can be made . Using this knowledge, an experimental gas·di scharge noi se tube mount was designed and constru cted . The data taken us ing thi s mou nt indica ted that the new design was suitable for int erlaborat ory work and provided a possibl e means of using the improved mount with different gas tubes to form more than one standard .

The accurate meas ureme nt of volta/!e ratios of inductive voltage dividers, T . L. Zapf, Acta Imeko 1964, Proc. Third Intern. Measu rem.ent Conf 3, 817- .n l (Budapes t 1964). Several methods have been developed at the National Bureau of Standards for the very accurate meas ure me nt of audio fre que ncy voltage ratios associa ted with indu cti ve voltage dividers. Uncer­tainti es in voltage ratio of less than 2 X 10- 7 have been obtained in measure ment s with tra nsforme r-type ca pacit ance bridges. The attainme nt of s uc h accuracy has provided a firm base for further in vestigat ions on inductive vo ltage divid ers. An inhe ren t major error ar ises from th e in terac ti on between distributed s hu nt im­pedances and lea kage imped ances in th e windin gs. I n specific des igns of indu ct ive voltage div iders the rela ti ve magnitudes of such e rrors are ca lc ulable a nd are c harac ter isti c of th e des ign. A divider may be co mpletely c ha racterized by the des ignation of the charac teri s ti c relat ive errors co mbined with an absolute meas ure­ment. A method involving complemen tary meas ure me nts has been developed to yie ld a n abso lut e meas ure ment of the inphase and quad· ra ture co mpone nts of the vo lt age ratio characteri sti c. Single·decade indu cti ve voltage dividers have bee n co ns tru cted wi th ra tio magn i. tude c harac te ri sti cs a nd res idual errors less than 5 X 10-". Thi s recent work has ve ri fied the accuracy of measure ments made by oth er me thods.

Microwave calib"ation techniques al the National Burea u of Standards, R. E. La rso n, A cta Im eko 1964, Proc. Third Intern. Measurem.ent Conf. 3 , .~83-393 (Blidapest 1964) . The measure me nt techniqu es employed in the mic rowave ca libra­tion sys te ms of th e Na ti ona l Bureau of Standards a re described. Calibration sys tems in the microwave region have been deve loped for the measurement of low· level cw power, re fl ec ti on coeffic ie nt magni ­tude, frequ ency, att e nualion, a nd noi se power. The operatin g fre­quency for th e ca li bratio n sys te ms, all utili zing rectangular wave­guide, ran ges from 2_6 GHz for a ll quant ities to as high as 90 GHz for the ca libration of cav ity wave meters. The present s tatu s in the development of thi s large number of microwave calibratio n sys tems is reviewed brie fl y. An er ror ana lys is co ns ide ring both s ys te mati c and random errors is given brie fl y for each of the quant ities meas­ured , a nd th e res ulting overall accuracy re porte d for the calibration of inte rlaboratory standards is s ta ted.

Microwave discharge cavities operating at 2450 MHz, F. C. Fehse nfeld , K. M. Evenso n, a nd H. P . Broida, R ev. Sci_ Instr. 36, No.3, 294-298 (Mar_ 1965) . Five s im ple microwave cavities for producing di scharges in gases were tes ted in He and H2 at pressures from 1 J1- to 1 atm. Three of the cavities are commonl y used, and two have been rece ntl y de­signed. O ne of the newly designed cavities offered a considerable improveme nt ove r earl y mode ls with respect to co mpact ness, ease of att achment to the sys te m, and effi ciency.

NBS Publications Standard ce ll s. Their constru ct ion, maintenance, and character­

isti cs, W. J. Hamer, NBS Mono. 84 (jan. 15, 1965), 35 cents. Standard Reference Materials: Sou rces of information, J. L. Hague,

T. W. Mears, and R. E. Michae li s, NBS Misc. Publ. 260-4 (Feb . 1965), 20 ce nt s .

Report of the 49t h Na tiona l Co nference on Weights and Meas ures 1964, NBS Misc. Publ. 263 (Feb. 1, 1965) $1.00.

Techni ca l hi ghlights of the Na tional Bureau of S tandards, Annual Report 1964, NBS Mi sc. Publ. 264 (Dec. 1964) $1.00.

Ponde rosa pine windows, sas h, a nd sc reens (usin g single "lass and ins ulat ing glass), N BS CS 163-64 (Mar. 17, 1964) 15 ce nt s~ S uper­sedes CS 163- 59 a nd CSI93-53.

Quarte rl y rad io noise dat a Septe mbe r, October, November 1963, W. Q. Cri c hlow , R. T. Dis ney, a nd M. A. J enkins, NBS Tech. Note 18-20 (Oct. 23, 1964), 50 cent s.

Quarterl y radio noise data December, J anuary, February, 1963-{)4, W. Q. Crichlow , R. T. Disney, a nd M. A. Jenkin s, NBS Tec h. No te 18-21, (jan. 25, 1965), 50 cents.

A tabulation of airy functions, H. T. Dou ghe rty a nd M. E. John son, NBS Tech. Note 228 (Sept. 18, 1964), 20 cent s.

Table of attenuation as a fun ction of vane angle for rotary-va ne attenuators (A =- 40 10glO cos 0), W. Larson, NBS Tech. Note 229 (jan. 7, 1965), $1.25.

Reversal of the diurna l phase variations of GBR (16 kilocyc les per second) observed over a path of 720 kilometers , D. D. Cro mbi e and H. L. Rath , J. Geophys. Res. 69, No. 23, 5023-5027 (Dec . 1, 1964).

Triggered fu se fo r load protection, J. H. Rogers , Rev . Sci . In str. 35, No. 12, 1715 (Dec. 1964).

Magneti c properties of ilme nite·he matite solid solutions, C. F. Jeffe r· so n and R. G. Wes t, J. Am. Cera m. Soc. 47, No. 11, 544-548 (Nov. 1964).

Safe ty in the use of liquid hydrogen, D. B. C he lton, Book , Tec hnology and Uses of Liqu id Hydrogen, ed . R. B. Scott, W. H. Denton , a nd C. M. Nicholl s, ch . 10, 359- 378 (Perga mon Press, Inc., New York, N.Y., 1964) . .

Thermodyna mics of hydroge n so lubilit y in cryogenic so lve nt s at hi gh pressures, M. Ore ntli che r and J . M. Prau s nitz, Book, C hem . Eng. Sc i 19, 775-782 (1964).

Liquid air, R. B. Scott , Encyclopaed ic Diction ary of Phys ics, p. 1 (perga mon Press, Inc., New York , N.Y. 1964).

Propert ies of norm a l and para hyd roge n, R. B. S tewa rt a nd H. M. Roder, Book, Tec hno logy and Uses of Liqu id Hydrogen, ed. R. B. Scott , W. H. Denton, and C. M. Nic ho ll s, c h. 11,379-404 (per­ga mon P ress, Inc., New York, N.Y., 1964).

Hi gh reso luti on, low e nergy elec tron spec tromete r , J. A. S impson, Rev. Sci. Instr. 35, No. 12, 1698- 1704 (Dec. 1964).

The calc ula tion of e lec tron ene rgy di stributi on fun ctions in the iono­sphere , L. R. Megill and J. H. Cahn, J. Geophys. Res. 69, No. 23, 5041 -5048 (Dec. 1, 1964).

Sola r Hart'S wi th associated ac tive dark fi la me nt s and th eir rela tion to 2800-Mc/s radio bursts, M. W. Ha urwitz, Astrophys. J. 140, No.3, 1236-1246 (Oc t. 1, 1964).

Mechanism of inac tivati on of bac teriophages by meta ls, N. Yam­amoto, C. W. Hia tt , and W. Haller, Bioch im. Biophys. Acta 91 , 257-261 (1964).

Elec tron.impact s tudies of a romatic hydrocarbons. III. Azu le ne a nd naphthalene, R. J. Van Brunt a nd M. E. Wacks, J. C he m. Phys. 41, No. 10, 3195-3199 (Nov. 15, 1964).

The performance of lenses made from inhomoge neous glasses, F . W. Rosberry , App l. Opt. 4, No.1, 21-24 (J an. 1965).

Early strength, flow and dimensiona l c hanges ob ta ined on amalga m prepared with a standardized mec hanical tec hnic, H. J . Caul , W. S. Crowell, W. D. Kimmel, and G. C. Paffenbarger, J . Am . De ntal Assoc. 69, 742- 748 (Dec. 1964).

Photochemical changes in th in laye r chromatograms of polycyc li c, aro matic hydrocarbons, M. N. In scoe, Anal. C hem. 36, No . 13, 2505-2506 (Dec. 1964).

Surface integral form for three-body collision in the Bo lt zmann equation, M. S. Green, Phys. Rev. 136, No. 4A, A905- A910 (Nov. 16, 1964).

Nucleation charac te ri s tics of static liqu id nitrogen and li quid hydro· gen, J. Hord , R _ B. Jacobs, C. C. Robinson, and L. L. Spa rks, 1. Eng. Power 86, 485-495 (Oct. 1964).

Degree of meta meri sm, 1. Nimeroff and J. A. Yu row, J. Opt. Soc. Am. 55, No . 2, 185- 190 (Feb. 1965).

Food for tom orrow's billions, A. T. McPherson, Proc. forum "Food in the Fu ture: Concepts for Pl anning," Chicago, III. , Oct. 8-9, 1964, pp . 51-73 (Dairy and Food Indus tries S upply Assoc., 1964).

Is life possib le on o ther pla nets? W. R. Bozman, Science and Chil ­dren 2, No.4, 7 (Dec. 1964).

Inves tigation of p lasma boundaries with e lectromagnetic s urface waves, H. W. Wassi nk and A. J . Estin, J . Appl. Phys. 35, No. 10, 2795-2800 (Oct. 1964).

1199

Stress-indu ced Mart ensitic transformations in 18Cr- 8Ni steel, R. P. Reed and C. J. Gutne r, Trans. Met. Soc . AIME 230, 1713-1720 (Dec. 1964).

Co mments on a pape r by R. L. Closs, An experimental investigation of back scattering or radio waves from the equatorial elec trojet, R . Cohen and D. T . Farley, Jr., Proc. Phys. Soc_ 84, Pt. 4, No. 540, 619-620 (J. W. Arrowsmith Ltd. , London, England 1964).

Changes in living, J. P. Eberhard , Proc. Conf. The Environment of Change, Sterling Fores t, Tuxedo, N. Y., June 14- 17, 1964, pp. 62-67 (1964).

Metallized polymer film guard rings for dielec tric meas urement s , A. H. Scott, Mater. Res. Std. T ech. Note 5, No_ 2, 76-78 (Feb. 1965)_

All-glass sorption vacuum trap , F . B. Haller, Rev. Sci. Instr . 35, No. 10, 1356- 1357 (Oct. 1964)_

Liquefied gases, handling of; R. B. Scott , Encyclopaedic Di ctionary of Physics, p. 1 (pe rgamon Press, Inc., New York , N.Y. , 1964).

COmlJarisons of tearing-strength tes ts for leather, T. J . Carter, J . Am . Leather Che mi st Assoc. LX, No.1, 4- 14 (jan. 1965).

Thermal insulation s t.orage, transport and transfe r of liquid hydrogen, R. B. Jacobs, Book, Technology and Uses of Liquid Hydrogen, ed. R. B. Scott , W. H. Dalton , a nd C. M. Nicholls, ch. 4, pp. 106-148 (Pergamon Press Inc., New York , N.Y. , 1964).

Low-temperature apparatus, con structional mat erial s for, R. B. Scott , Encyclopaedic Dictionary of Phys ics, pp. 1- 2 (Pergamon Press, Inc., New York, N.Y. 1964).

Elec tron-impact studies of aromatic hydrocarbon s. 11 Naphth acene, chryse ne, tripenylene, and pyrene, M. E. Wacks, J . Chem. Phys . 41, No. 6, 1661- 1666 (Sept. 15, 1964).

Formation of NF from NF2 by photolysis, D. E. Mann and J. J. Com­ford, S pectrochim . Acta 21, 197- 198 (perga mon Press Ltd., Northern Ireland, 1965).

The influence of me tastable oxygen mol ecules on ozone and airglow, H. 1. Schiff and L. R. MegiU, J . Geophys . Res. 69, No. 23, 5120-S121 (Dec. 1, 1964).

S hape of the magnetosphe ric boundary unde r solar wind pressure, R. J. Slutz and J. R. Winkelman, J. Geoph ys. Res. 69, No. 23, 4933-4948 (Dec. 1, 1964). Standards - the foundation of industrial growth, R. D. S ti ehler, Industri al Times VI , No. 22 (Bombay, India, Nov. IS, 1964).

Hyperfine structure of the B2~+ s tate of CN, H. E. Radford , Phys. Rev_ 136, No. 6A, A1571 - A1 57S (Dec. 14, 1964).

Research for architecture, J. P . Eberhard , Res. News II, No. 1, 10- 19 (Jan. 1965). Spectral p roperti es of plants , D. M. Gat.es , H. J. Keegan, 1. C. S chleler, and V. R. Weidne r, App!. Opt. 4, No.1, 11- 20 (jan. 1965).

*Publications for which a price is indicated are available by pur­chase from the Superintendent of Documents , U.S . Government Print­ing Office, Washington, D_C. , 20402 (foreign postage, one-/ourth additional). Reprints from outside journals and the NBS J ournal of Research may often be obtained directly from the authors.

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