JPRS ID: 8226 SELECTED TRANSLATIONS FROM THE SOVIET JOURNAL OF THE OPTICAL ENGINEERING INDUSTRY

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APPROVED FOR RELEASE: 2007/02/08: CIA-RDP82-00850R000'1000'10033-3 ~ ~ ~ i7 JANUARY i9T9 FOUO i~OF i APPROVED FOR RELEASE: 2007/02/08: CIA-RDP82-00850R000100010033-3 APPROVED FOR RELEASE: 2007/02/48: CIA-RDP82-44850R000100014433-3 rn~ orr~~~N~ us~ uN~Y , y ~ JPRS L/8;226 17 Janu~?ry 19 79 r SELECTED TRANSLATIONS FROM THE SOVIET JOURNAL OF THE OPTICAL ENGINEERING INDUSTRY U. S. JOItdT PUBLICATIONS RESEARCH SERVICE FOR OFFICIAL USE ONLY APPROVED FOR RELEASE: 2007/02/08: CIA-RDP82-00850R000100010033-3 APPROVED FOR RELEASE: 2007/02/48: CIA-RDP82-44850R000100014433-3 N01'L - JpItS publi~atidns cone~in informaCion prim~rily from foreign ttewsp~perg, periadic~ls and books, buC also from news ag~ncy Cr~nsmissions and brondc~gts. Maeeri~ls from foreign-l~nguage sources ~re Cranslaeed; those from ~nglish-language sources are erangcribed or reprinCed, wiCh ehe origina? phrasing ~nd other characterisCics retained. Headlines, editorial reporCs, and maCerial enclosed in brackeCa [J are supplied by JPIt5. P.rocessing indicaeors such tts [Texr) or (~xcerptJ in Che �irse line of each irem, or following ehe lase line of a brief, indicaee how the original information was processed, Where no processing indicaCor is given, the infor- mation was summarized or extracted. ~ Unfamiliar names rendered phonetically or transliteraeed are enclosed in parentheses. Words or names preceded by a ques- tion mark and enclosed in parentheses were not clear in the original but have been supplied as appropriate in coneext. OCher unaCtributed parenthetical notes within the body of an item originate with the source. Times within items are as given by source. The contents of this publication in no way represent the poli- cies, views or attitudes of Che U.S. Government. PROCUREMENT OF PUBLICATIONS JPRS publications may be ordered from the National Technical Information Service, Springfield, Virginia 22151. In order- ' ing, it is recommended that the JPRS number, title, date and author, if applicxble, of publication be cited. Current JPRS publicAtions are announced in Government Reports Announcements issued semi-monChly by the National Technical Information Service, and are listed in the Monthly Catalog ~f U.S. Government Publications issued by the Superintendent of DocumenCs, U.S. Government Printing Office, Washington, D.C. 20402. Indexes to this repor~ (by keyword, author, personal names, title and series) are available through Bell & Howell, Old Mansfield Road, Wooster, Ohio, 44691. Correspondence pertaining to matters other .than procurement may be addressed to Joint Publications Research Service, 1000 North Glebe Road, Arlington, Virginia 22201. APPROVED FOR RELEASE: 2007/02/08: CIA-RDP82-00850R000100010033-3 APPROVED FOR RELEASE: 2007/02/48: CIA-RDP82-44850R000100014433-3 30472 �1 REPORT DOCUMENTAYION .1,,q~POqT N0. 2, l24ciplent's Ar.c~sflun No. PA~~ JP RS L/ 8 2 2 6 I 4~ ?Ifle snd Subtltle 5, lieport Dal~ S~L~CTEn TEtAAN5LATI0NS FROM Tlt~ SOVT~T JOURNAL OF THk ~~~'7 January 1.979 OPTICAL ~NGINEERING TNDUST1tY e' 7~ Authorff) 8, performina Orgenltetlon Nept, Na. P~rformiha OrQ~nleel~on Nama ~nd Addr~ss 10, Prolaef/7efl~/Wo~:. Unlt No. JoinC PublicaCions Research 5ervice 11. co~�A~~~c~ o~ G~.~~ca~ No. ` 1000 North Glebe Road Arlington, Va. 22201 coi 12~ Spon~orlna Or~~n~r~tlon N~m~ ~nd Addr~� 13. Type of R~port 8 perlod Covered As above 1S. Suppl~m~nt~ry Notes OPTIKO-MEKHANICHESKAYA PROMYSHLENh'OST', LeningrAd, 1978 16. Absf?aat (llmlt: 200 wordi) 'fhis report contains a selection of articles on optical information processing _ systems, electrooptical direcCion-fitiding equipment and electrooptical scanning systems, and photodeCectors. Several articles are devoted to characteristics of various types of optical glass. 17. Doeum~nt An~lyfl~ p~seHpton USSR Direction finding Interferogram Optics Scanning Optical glass Information processing Photodetectors Dielectric mirrors b. Id~ntlfi~n/Op~n�End~d T~rms e. COSATI FINd/Group 1 ~ B ~ Z 7C ~ l 7H ~?OF IR Av~IlaDllity Sfat~m~nt 19. Seeurity C~~ss (This R~porU 21. No. of Paa~s FOR OFFICIAL USE ONLY. Limited number of I 85 copies available from JPRS 20. S~eurlty Cl~ff Rhls P~`e) 22. Pr~ce Unclassif ied (5~~ ANS{-Z39.1!) S~~ Inttruetton~ on Rw~ne OPTIONAL FORA~I 272 (h771 (Formerly NTIS-35) D~paRment o1 Comm~rc~ APPROVED FOR RELEASE: 2007/02/08: CIA-RDP82-00850R000100010033-3 APPROVED FOR RELEASE: 2007/02/48: CIA-RDP82-44850R000100014433-3 FOR OFFICIAL USE ONLY JPRS L/8226 17 January 1979 ~ SELECTED TRANSLATIONS FROM THE SOVIET JOURNAL OF THE OPTICAL tNGINEERING INDUSTRY Leningrad OPTIKO-MFKHANICHESKAYA PROMYSHLFNNOST' in Russian 1978 No 8 pp 5-9, 17-23, 42-44, 59-61 and No 9 pp 7-10, 25-28, 36-42, 46-47, 56-58, 71-73 CONTENTS PAGE ~ The Relation Between Parameters of an Optical Information Processing System and CharacterisCics of the OpCical Elements (L. I. Akopov, et al.) 1 Evaluation of Star Sensor Errors in ElectroopCical Direction-Finding Instruments (V. D. Smirnov) 7 Concurrent Optimization of Optical and Electrical Filters in Scanning Electrooptical Systems ~ (Yu. N. Rakovskiy) 12 Analysis of Methods for Taking Into Account Raster Distortions and Instabilities in Electrooptical Instruments With Electronic Scanning (V. K. Sablin, et al.) 22 An Illuminating Device for Testing Coordinate-Sensing Photo- detectors I (Ye. N. Vysotskiy, et al.) 30 Method for Determining the Nonlinearity of Photodetectors (L. N. AksyuCov, G. K. Kholopov) 34 Automating the Processing of Interferograms in the Testing of Optica~ Systems (V. A. Zverev, et al.) 40 , -a- [I -USSR-LFOUO] Fl1R nFFTf'TAT. T1SF nNT,Y APPROVED FOR RELEASE: 2007/02/08: CIA-RDP82-00850R000100010033-3 APPROVED FOR RELEASE: 2007/02/48: CIA-RDP82-44850R000100014433-3 . . H,ox o~,rzcrnr. cts~ o~..Y CONT~NTS (Continu~a) ~'age Computer Processing of Tnterfero~rams and Deeei~cnination of the PoinC Spread ~unction and Optical Transfer I~`uncCinn in Testing and ~inishing of Optical Syeteme ~ (M. A. Gan, et al.) 48 Catalog of Optical Glasses of the USSk and GDI'~ (G. T. Petrovskiy, eC al.) 57 Mechanical Strength and Thermal Stability ox Neodymium Glasses (V. M. Mit!kin, eti al.) 62 Wide-Band Dielectric Mirrors Made of Titanium and Silicon Dioxides (L. L. Matskevi~h, et al.) 70 . Measuring Radii o� Curvature and Local Distortions of Mirror Surfaces (M. L. Gurari, et al.) 7G - An ElecttoopCical Modulator Wi.~t:~ Small Nonactive Losses (T. A. Kuzovkova) 79 An Infrared RadiAmeter Based on a Gallium Arsenide In~ection , Photodiode ; (Yu. A. Abramyan, et al.) 81 -b- FOR OFFICIAL USE OPiLY APPROVED FOR RELEASE: 2007/02/08: CIA-RDP82-00850R000100010033-3 APPROVED FOR RELEASE: 2007/02148: CIA-RDP82-44850R000100014433-3 I~'OR O~FIC7AL U5~ ONLY ` s PUBI.ICATION UATA English title : SELECTEll TRANSLATIONS FROM THF SOtJIBT JOURNAL 0~ THE OPTICAL ENGINEERTNu TNDUSTRY Rusaian title ~ OPTIY.O-MEKHANICH~SKAYA PROMYS~-1LE'rtNOST' AuChor (s) ; ~ditor , ~ Publishing House ~ Optiko-Mekhanicheskaya Promysh].ennost' Place of Publication . Leningrad ~ Date of Publication . 1978 Signed to press . Copies , COPYRIGHT � Optiko-Mekhanicheskaya Promyshlennost', . 1978 ~ -c- FOR OFFICIAL USE ONLY ` APPROVED FOR RELEASE: 2007/02/08: CIA-RDP82-00850R000100010033-3 APPROVED FOR RELEASE: 2007/02/48: CIA-RDP82-44850R000100014433-3 FC11t OFFICIAL US~ ONLY ~ THE RELATION BETWEEI~' F~,it~,METEkS OF AN OPTICAL TNFORMATION - PROCES5ING SYSTEM AND CHARACTERISTICS OF TH~ OPTICAL EL~MENTS Leningrad OPTIKO-MEKHANICHESKAYA PROMYSHLENNOST' in Russian No 8, 1978 pp 5-7 (Article by L. I. Akopov, A. ,A. Ayazyan, V. Yu. Fedorov, and Ye. G. Tsitsishvili; all figures missing in original] _ [Text] The relation is defined bet~veen the frequency con- trast characteristic of an optical system and the - basic parameters of an optical infarmation processing sys~em: volume of information, speed of operation, and reliability, which are determined by the deriaity of information channels and th~ output power ratio between "one" and "zero" signals. Recently in the development of computer equipment a great dea'1 of attention has bPen given to the creation of systems for reading, writing, and transmitting discrete optical information in pictures (large blocks) consisting of aombinations of light ("one") and dark ("zero") points [1-4]. Therefore it is necessary to evaluate optical elements in order to determine the possibilities for using them in computer systems. The most important characteristics of these systems are volu~ne of informatlon, speed of operation, and reliability. These parameters are interrelated, since the operational reliability at low signal levels is determined by the ratio of the energy of the "one" signal, IL, to the energy of the "zero" signal, . Io, at the system output, and the value of these energies is related to the dimensions of the information points, the light flux density (luminance or illumination) on them, and the time the signal is present at the photodetector. 1 FOR OFFICIAL USE ONLY APPROVED FOR RELEASE: 2007/02/08: CIA-RDP82-00850R000100010033-3 APPROVED FOR RELEASE: 2007/02/48: CIA-RDP82-44850R000100014433-3 r0[2 Or~ICIAL USE ONLY However, optical image transmission systems are charactcrized most fully by the ~requency contras~ characteristic (fcc) [5-8], wY:ich is essent3.ally the coefficient of image con~rast trans- , mission as a function o~ the spatial frequenc~~. The light intensity distribution in ~he image plane i(x,y) is defined by the expressa.on [6, 7] -i-ro ; ~.t, y) ~ f f o t) s (X _ y t~ ,?r~t;, ~ ~ ; ~N where o(~,~> is ~he light intensity distribution in the object ~ ~ plane (the information picture) ; s(x--g, y--b) is the "sca~tering function" describin~ the li.ght dis~ribution in the (x,y) plane produced by a point source in the object plane (~.C)� It is , assumed that the "scattering function" is independent of ~ possible noise (such as flashes in the image plane and the dark - background). Therefore, strictly speaking, the following results p~rtain to "passive" systems of this kind. Clearly the r.:~st `~critical" type of information picture is ~he case of a"zero" surrounded by "ones". In this case the liqht distribution in the object plane may be expressed as p ;),e Op (E~ -1- (?o Jt) rect ( a~ ) rect ( ~ ~ 2 ) , ~ where Op(~, is an infinite periodic function with basic period ; a(equal to one step in the information picture) having the form n a J~~wh.en ( ~ ~ 4 ~4 ~ ( ~ 4' ~ . Op(c~ ?awhenl~i~ 4 -oo ~ J-- Jo ~ , sin 2 ~?X a sin l ~~yn . - ' ~ ~x (`t~ly Wz GIy ~pp � x,~ ~~~x~ W y~ e 4r.1(rox x-uiy Y), (3~ . 2 FOR OFFICIAL USE ONLY APPROVED FOR RELEASE: 2007/02/08: CIA-RDP82-00850R000100010033-3 APPROVED FOR RELEASE: 2007/02/48: CIA-RDP82-44850R000100014433-3 . ~o~ orrzcrAL us~ orn,Y As follows from (3), to find a clear form of the function i(x,y) it is necessary to know the analytic form of the fcc T(W~, WY) or to per�orm ~he numerical calculation (along the speci�ic fc~ curve for each optical element). Examination o� only the periodic part of expxession (4) simplities the problem considerab~.y and makes it possible to obtain qualitative results as well. Under these conditions the information picture is a collection o~ all the "ones" between which appear nothing but "zeroes". Since fo r such an information picture the ratio I1/Io is less than th at of the real picture, it is clear that the results obtained - in this case will be low. The intensity distribution in the image plane wi11 be of the following form: r~Y~ Y)..DwT(U,U)-~-2~DnuT~~~OIcoR ~T ny~, . ~ / n ~ � a, d+ 2~ D,,,o s~ a, 0~ cos Q~ mx 4~ D~m t X ` rn ~ 1 n,m>1 ~ n i1i 1 ~tt x a, n~ cos a my cos a nx~ where Doo ~~�4 J~; D~e ~ n J0 sln ~ n; _ � Jalmn~ sin 2 n sin 2 m; n f 0, m f 0. - If the image transmission scale in the periodic picture case is taken to be one, then the enerqies of "one" and "zero" at the - ' output of the system will be, respectively, a a 4 4 ~i ~ f f i(x, y) dx~ly, . a a 4 4 and p s ~ 4� � ~u = f dY f t(X. Y) ~ix. C 4, . o r~ 4 ~1 Performing the integration, for the ratio I1/Io we obtain ~ \3-I-j~lT~~)-I-14/ 1~o-I~S~-f- 4 ~~~~I ~~-11S1 - ~ ~ ~5~ ~0 ~ (3 ~01 ~ (0) - 4 `r ~ ~ ~ -11 S, ~ _ \ 3 FOR OFFICIAI, USE ONLY APPROVED FOR RELEASE: 2007/02/08: CIA-RDP82-00850R000100010033-3 APPROVED FOR RELEASE: 2007/02148: CIA-RDP82-44850R000100014433-3 i~ ~~~t Of~ C1 CIAL iJtii~ ONLY wr.ere - !n --.1 1 1 S~ Cf ~ lZ ~ Ol 1,~~ - ~ ~ n~~ N "1 7.n --1 2~~ 1 1 S~ u= ~ T ;i ' - u W ) (?,i i j~ (2nr r.. ;~)a � n,m:~ t It should be noted th~t in ~~Gn~ral ~hr:. fcc is ~ two-dimensional . func~ion. However, in view of' the f.act ~hat tlie opti.cal elEments used must be ~xisymrnetr.ic, btit ~he im~ge X~1~ne must coincide with the ~ur�acc of the image of m~an curvature, ~he fcc does not depend on the direction of the spatial trequency and T("n, ~1.,~.(?r9'~'~'~l. \ ! ~ ~ / Expression (5) w~~.h a known fcc make~ it possible to construct . the r~ti~ I1/Io as a function of the density of infor.mation channels. Thus, for example, the ~cc's preseni:~d in fig. 2 - (for J1/Jo=20) represent i.he :~unctions shown in fig. 3. Corresponding to thes~ curves, for information densitips of interest it is clear that Si< 1.2 't(0) (th~ series (4) with n,m > 3 quickly diverge), and I1/Io ~ 8. From formula (5) it also follows tha~ with sufficiently large valuES o~ J1/Jc (specific- ally, Jl/Jo � 3), IZ/Zo < 13. For a given value of the ratic ' I1/IQ, formula (5) makes it possible to estimate the corres- p~nding minimum value of 'C~,~in (1/a) , and consequently also the maximum possible operating density of information channel~ satisfying the requirecl relation ~ 1 ~ 4 ~ C /n - 1) C3~+ ?o, T ~ (6) C�)~ " w ~ 2 i 3 1 1 (J, l \J~ -'1/~ (2n-1)=+("} C~a (2n-1)~ (2m-t) n as n, m> t n-t m�l � m~~, n�1 , ~rhus, for example, �or J1/Jo=20 and I1~Io=4, Tmin(1/a)=0.62 't(0) . As indicated, examination of ~ periodic picture gives a low result. At the same time, the largest value of ~'(1/a) obtained in examin ation ~f this picture is greater than the value of 't'op(1/a), corresponding to the true value of the operating density of information channels. It follows that an approxi- mate estimation of the operating density may be obtained from express ion ( 6 ) . 4 FOR OFFICIAL USE ONLY APPROVED FOR RELEASE: 2007/02/08: CIA-RDP82-00850R000100010033-3 APPROVED FOR RELEASE: 2007/02/48: CIA-RDP82-44850R000100014433-3 ~ FOR 0~'~'ICIAL US~ ONLY Thus examination of a periodic picture makes it possible to obtain relat3ons from which cne may determine, according to the fcc's of the optical elements, the operating density o~ - information channels in an optical information processing systiem as a function of the required value o� the ratio of energies of a"one" and a"zero", Y1/To. However, it must be taken into account that IZ/Io is the ratio af inean optical signal levels, which are of course subject to - fluctuations. The degree of these fluctuations decreases as the signal level increases; that is, in order to guarantee reliable operation of a read/write system it is necessar,y to maintair~ the signal level. as the signal passes through the optical system. There are methods of determining both the degree of fluctuation of the signal levels of "1's" and "0's" passing successively through an optical system [9~ and the optimum receiver threshold providing the minimum~probability - of signal detection error [10]. If nmin is the minimum number of light quanta providinq a given probability of reliable system operation and 0 t is the time the signal acts on the photadetector, then taking into account the fact that the signal power is ar� where i=1, 2..., N is the f~lter number. The solution of pr~blem (17) may be obtained, for example, usir.g the following , algorithm. We will order tYze ~ollection of all previously calculated value~ of ~'so as t4 satisfy the strict inequalit~~es . . (M < N). For thi~ we will exclude all filters (except one) which reduce to equal values of that is, in each group of such filters we will leave only the one which gives the smallest value of the quantity V. (If in the g::UUp of filters corresponding to equal`~'s there tur.n out to be several filters giving lowest but equal values of then clearly it is possible to choose any one of them). Now, proceeding step by step from the end _ of the ordered sequence to its beginning (that is, beginning from the number M-1), we exclude from iL all elements for 20 FOR OFFICIAL USE ONLY APPROVED FOR RELEASE: 2007/02/08: CIA-RDP82-00850R000100010033-3 APPROVED FOR RELEASE: 2007/02148: CIA-RDP82-44850R000100014433-3 ~'dR drl~'~CIAL U9~ ONLY whi~h ~I~''n wher.c r i~ the number n~ the ~l~mr-_n~ ~ef~ (~hat ig, nnt ~xC1u~~d) a~ ~h~ p~~vinu~ ~tep d~ thig prncedure. mh~n ~he r~m~ining ~1~m~n~~ ~nr~ V ~ ~nd the fil~erg ~drresponc~ii~g td them wil.1 b~ ~n~.u~ions ~o prob~.em (17) ~h~ pointis V~d~YI~ ~n Conc].us~i~n w~ n~~~ ~h~t ~he propdsed me~hdd for ~bncurr~n~ly op~im3.z3.ng o~~ical a?~d el~rtronic fi~.~~r~, ba~~~ on th~ prelimi~ nary ~o~.utiion of prok~~.~m~ f~r yp~c~r~l C15) ~nd ~~empnr~l C~~) �i.l~~ring, h~s a numb~~ d~ advan~~g~~. 1. mh~ ~olu~ic~ns ~d p~obL~m~ ( ~.S ) ~nd (1~ ) ~re "bui lc~ing blocks" which may be used ~o ~yn~h~si.z~ wid~~.y di�~~ring ~n systems acco~ding tio vari.c~us cri~~~~~ for np~imi.xa~idn. 2. These solu~ions dir~ctl~ d~~ermin~ ~h~ ~�f~c~iv~n~~s of ~ha~ ~yp~ of fi.ltering, tha~ is, th~y show wh~~ pr-i~~ Cwh~ti reduction in tihe rati.o o� useful ~ign~1 ta nais~) is p~i.d fdr one or anoth~r d~gr~~ of ~upp~~s~idn df l~a~k~;rdunc~ in~~r- �erence. 3. If one of tihe filtiers is given and i~ is necessary tio find the other one, then the method i~ easily ~fmplii~~c1: if th~ filter k(~1) is given, then qn nmin ?tOb~min C qo~ ~ and if the filter h(t) ig given, tihen 9n_ nm~n Rotibm~n qd~, . Re �erences 1. Gol'shteyn Ye. G., "Teoriya dvoystvennosti v matematicheskom programmirovanii i yeye prilozheniya," (Duality theory and applications in matihematical programming~, Moscow, NAUKA, _ 19 71. 2. Rakovskiy Yu. N., Smirnov A. P., OPT.-MEKH. PROMYSH., 1975, no. 2, pp. 14-15. 3. Rakovskiy Yu. N., OPT.-M~KH. PROMYSH., 1974, no. 11, pp. 16-17. Received by editors 17 November 1977. COPYRIGIiT: Optiko-Mekhanicheskaya Promyshlennost', 1978 9187 CSO: 8144/468 21 FOR OFFTCUIL U5F ONLY APPROVED FOR RELEASE: 2007/02/08: CIA-RDP82-00850R000100010033-3 APPROVED FOR RELEASE: 2007/02148: CIA-RDP82-44850R000100014433-3 1~Ott O~F~GI`AL t15L dNI,S.' ANALYSIS 0~' M~'~Hc~~~ FO~t TAKIN~ IN`~0 AC~~UN~ R~S~~R D~~TORTTONS ANt7 IN3mA~'[L~TIC5 TN ~L~CTFt00PmI~AL INS~I2UM~NT5 WITH EL~C'rRONIC SCANNING Leningrad OPT~KO-MEKHANtCH~~KAYA PROMYSNL~NN05~' in Russian .No 8, 1978 pp 20-~~ CAr~icle by V. K. Sablin, V. A. O~i~ik, ~nd V. ~'edos~yev~ CTexk~ ~xamines ~he cEfec~ of distortiions and ing~~bili- ties on tihe electronic rastier in elec~rooptiical ina~rum~nts witih ~alectirenic scanning on tihe precision of ineasurement t~f ~eardin~~~s af poi~n~ targets. Rel~tionships are derived determin3ng measurement error for various cal.ibration mgthods. It is well known that electrooptic~l instruments with electronic ~canning have, in addition tio substiantial favorable qualities, one drawback the occurrenc~ of instabilities and distortions in the electironic raster. This article examines methods for taking in~o account these facts in rel3tion to the measure- ment of coordinates of ooin~ targets and shows that with tr.e appropriate choice of one or another method a hiqh deqree of measurement precision may be obtained. General relationships In an electrooptical instrumen~ a two-dimensional image is conve~ted into an electrical ~ignal so that each point in the observed portion of space (the field of view) is assigned a pair of numbers determininq the position of that point with respect to the electronic raster. These nwnbers will be called the raster coordinates and 8esiqnated (t,T). If a system o� rectangular coordinates x, y is introduced in the object plane such that the x-axis is parallel to the direction of line scan in tihe center of the raster, and the coordinate center lies on the sighting axis of the instrument, ~hen for each point in the object plane with coordinates (x,y) there will be a correspondinq pair of raster coordinates (t,T). 22 . FOR Q~FICIAL USE ONLY APPROVED FOR RELEASE: 2007/02/08: CIA-RDP82-00850R000100010033-3 APPROVED FOR RELEASE: 2007/02148: CIA-RDP82-44850R000100014433-3 Ft~R dFFICtAL USC ONt,Y '~h~~~~n~~ w~ wi~.i c~ngi.c~~~ th~~ ~h~ in~~rum~nt p~~~o~m~ ~ mu~ually ~~.ng~~-valu~r~ ~~~ng~a~m~~i.on of (x,y) ~a~rc~ina~~~ on~o ~~,T) coordi.n~~~~: x ~ x ~t~ T)~ Y ~+Y (t~ t~ ~ t +Ct~~ I', ~ ; (1) in which ~he fune~fon~ x(~,T) ~nd y(~,T) ~r.~ ~uf�~.~ientl.y smao~h. B~e~~tg~ a� ~he pr~s~nc~ of r~at~r di~~er~ion~ ~hi~ ~ran~~orma~i.c~n ~.s nonlinear. M~asuring ~h~ ~oo~c~in~~~~ of a point t~~g~~ r~quir~~ th~~ ~or va~u2s o~ �ix~c~ by th~ ~.n~~~um~n~, ~he co~r~~ponding tirue ~x,y) coordin~~e~ b~ d~~~rmin~c~. Z~ digtiortfons anc~ ins~abilitiies are not presen~, ~hen th~ functions in (1) have the ~o~m ~1~, T)~x(~)~~.~~r-r~), Y~~,T)~YIt)*~ar~T� wh~re (~o,~ ) is ~he inf~ial m~asuring point and vx, v ar~ known coeff~cients de~~rmining the scale o~ tihe ~ran~f~rma~ion. Fur~her analysis will be performed only for x-coordina~es; all relations are analoqous for y-coordinaties. In the general case the functifons in (1) may be writiten in the form of a Taylor series (1) x (l ~ T) x (fo� To) 'I' x~ (la ro~ - ~o) ~h 'f- �cr ~tw T~) ~ T r~) 1 ~Xet ~~u~ 7'0l - lu)~ -1� 'N'~x~t~ta Tu)(~--~u)(7'-ru)-H 'F' xrr (r~. 7'~) c r - ro)=~ . . . ~ Reordering terms we obtain x U~ r) � x(~u To~ xt ~~a To~ ~r - ro) R(~ - to) -h � ex~ (r - ra T- 7'0). ( 3) Here R(t-to) represents the sum of tierms containing only (t-to) of degree 2 through and in ~he last component are included all terms containing (T-To) in various degrees. The component R(ti-tio) is associa~ed with deflectfon nonlinearity along the scan line, and is associated with geometric dis~ortions. It ~.s important to note that since in ~x~there appear components containing the factor (T-To) in various degrees, when T=To we have nx~�~o . Me~sur~ment withbut calibration In measurement wfthout calibration the relations in (1) ~btain, that is, they are considered linear, having the form of (2) with known parameters to, To, vX, and vY. Subtracting (2) from (3), we obtain the absolute measurement error ` 23 POR OFFICIAL L'SE ONLY APPROVED FOR RELEASE: 2007/02/08: CIA-RDP82-00850R000100010033-3 APPROVED FOR RELEASE: 2007/02148: CIA-RDP82-44850R000100014433-3 ~~h, ~)t'Ft~LAL US~ ONLY A x ~.r,~ ~i- tu�~~ tu1 ~ It (t f~~1 ^I' ~x~ lo~ whc:~c bU.~o~x~ra ro1 i.g ~h~ ~~ror c~us~~ by unc~r~~inty of tih~ ~~u~ p~:~itiion c~� ~h~ ini~i~1 m~asur~.ng poir~~~ aU;~d,*'xf~~a~'o1~-v.~. i~ tihi~ ~r~~r r~~ultii.nc~ fxom un~er~~~.n~y ta ~h~ tr~~ ma~ni~ude o� ~h~ scal~ of tY~n~fc~rnia~inn ~h~ init~i~l po~.~~? ~~ti-~o~ ~h~ ~rrc~r e~us~d by v~~~i~k~~.li~y ~n ~h~ ~c~lE of ~h~ ~~an~- form~ti~.c~n ~~~ng ~h~ 1in~ o~ scan (beGau~e c~f r~anJ.in~~rity) t ~nc~ ex~ ~t--~o, 7'-ro) is ~h~ ~~ror ~~~ul~ing rr~m g~om~trl,c distior~S.on~. SfnCe I~.~ ) a~~`~~~ ~e ~x