SCIENTIFIC ABSTRACT OSIPOV, I. - OSIPOV, I.O.

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CIA-RDP86-00513R001238410001-1
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December 31, 1967
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SCIENTIFIC ABSTRACT
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64= DANIOU, Ya. ; YA'DiEVRIM, I - Pacoviclun, 1. 1; GUL I DENBEIC, A.; IJIAIi I It, B. inzh. (Lenin,~rad)i MOVA, N., Inzh.; VINNIKOV, F. (Gomoll); :414YKIIJ, M-IIDB, ISKIY, A. , starahiy in2h. (pon. Igra, Ud=.Lrtskoy ASSR); CHE,,TETSGV, V.;__2LIF(N,_I.; Sli-,Q'1`111111, M.I. Exchmigo of' nowo and -ximi-imic-ij. Izobv.1 rutil. (Al, 1. Sekretarl Itcopublikazwkoeo soveta Vseijayuziogo obshcheotva izobrotateley I ratsi,)ruaizatorv, C. lUpi (for Daixiers). 2. Glavnyy irvrii. mtizhdugorodncy tvlefonnoy utiulLsii, C, Villn~,uo (for Yatsovicaw). 3. Preduedixtoll uhlastnogo sovota V,3uv,)YIiziio[,,r) obahchestva izobretatulay i ratoionalizatorov g. Ufa (for Gol'denberg). 4. Krayevoy sovet Voesoy-uznogo ubshcheotva izobretutcley i ratoion&iIzzLorov, [;. hi-asnodar (for Movii). 5. Igritwkiy lespromkhoz kombinaLa "UdmurtleLi", (for &3riLj(,-vsk1yi. 6. Predsedatell Krasnoyarskago krayevago soveta Vie3ayuznoCo -)b3hchostva izobreLaLeley i rats iona-IJ zu Lorov (for ilrotinin). (Technolotjcal inpovationa) OSIPOV, 1. Minor architecture of & cilty, Zhil.-kon. khol. 13 ao-5z24a W 163. (MIRA 16:8) (Pavilions-Design and construction) --- It r1W proudly. Wst.ugl. 9 no.11:9 3 160. (KM 13.- 22 ) (Donets Smalio-Coal mimars) OBIPOV, I. Gift of immortality. Zdorovle 6 nc.9:27 S '60. OEU 13:8) (GIlIZENG) OSIF9Vp - I-# (Kursk) Friem!ly a3sociation of efficiency promoters. Zhil.-kom. khnz. ~,- no.3:17-20 mr 161. (-,IR.A 14:~) (karsk-Efficiencyp Industrial) OSI]POV, I. Trade-union council instructors not on the permnent staff. Sov. profooiuzY 7 no.7:35-36 Ap '59. (M.IqA 12:7) I.Sekretar' Minnkogo oblastnogo soveta profsorizov. --~Winsk Province--Trade - ,.,,n ion@ Z7 ~akhallnrkle ztrls-; -.,;er;' r-J,6- Fi r r, n ri - f-val-iiii, !11 r., :o t. (pilt'.1ote~a putt !,her-jlj). r, t , I I.f . I d.-,ti -)n irarFT-rtatl7n. Di,C - , Y771 E2)8 a:,viet r.1 cp ! i )n,-,, I bray Reference bepart!:~ent, 'AaFhlitfInn, 1952, Uiwlus:~fiod Mllpov. 1. ,la rekonntruktsiiu vo(lnoro trunsuorta na Al,tane. A. - ~Vor tho reconstruction of water transportation on the Allrin riv,~rj (Sovets;cuiu zolotoprowvohlennoltl. no. C0, p. J4-36) DLC: TN25-RI)S6 SO: Soviet Trananortation and Communication, A Bibliography, Library ol' Congress Reference Dep^rtment, Wnshington, 1952, Ifnclassified. 0000000*0000000000 660060000006690900 1 ow , 41 c 0 IF G 14 0 L a 0 0 FU I I I MW - -jj ,0*6- ~6-1-96 00 1* 09 IV, 002 0906060900496906::1090000 00000000000*0000 000000 v C" a it u a w v a 9 d p 4 11 41 as a *lot of 'It is A 0 1 1 A 'L-,A--& - -- ---.0 1 '. I -- '13"12 iv Wmu~q ..I V 0o= 0 so- CPO- 00. 00- 00- 00- -11duvia uZ -Imul Icilelil 1,/ "to r. ~wpm aqi too -uii..i nul- vjat4,-j,%j- -l1 -ttot ifoltz '(PI F nN '1641 M01h,cm,ij -foisir'l V I ftnal 341111 to tgaf=vajl 03 It 1 .1 .1 a 't ft 'I m 41k It It 01 14. w 7-1--r"XTA A I t V 1 ft 0 000 0 ip 00 00 t so 00 60 00 00 00 00 00 4 f 44 8 1 0 1 1 100 0 0 0 0 0 o 0 0 4p 0 0 0 OSIPOV. I. lo~tls mainta!n tho npartmont hollono in an exemplary Z,l " 1. - kom.khoz. 10 no.6-IP-19 1~ 0. (MIRA 11:77) 1. Predeedatell iomovogo komitata pri 3-m domoupr vlenii I-,. SerpW7hova. (Serpukhov-Apirtmont liouses-Maintenance ,n' ropn4r) mipnv, 1. I ~ I.- .- " .-6n ausplan not!. Ilymptil Ill nr) . I" : I-R-195 ' -fi. ( 14: -L, -, : -~ ) ~Sak)ialiii--'Inrll Wlir. ' )na) Osirov. I. Treasures of Zbigull. Vynpel 11 iao.r,:21 Mr lwi. (AIRA 1.2-9) (Zhigull hills-Petrollum Industry) OSIPOV, I. d , "Portrult nf our cnntnmpnrFtry" by Ivan "enin. Rnvimind by I. Ostpov. Mkiat.ugl. no.4:29 '59. (1411th 12-6) (Coal minore) -) '. , OSIPOV. 1. Today a minor tomorrow an engineer. Muat.ugl. 19 no.1:20-21 Ja 159. (MIRK 12:3) (Coal miners) OB IPOV . 1. Yor your whole life. ZnRn.sila no.q:2-5 5'r,5. MRA 8:12) (Technical education) OSIPOV, I.; GOMOZOVA. N.A.. redaktor; GLEW11, D.A., tekchnicheskiy redak-tor 4 w-, i [A recorl of SAkhalinj' SakhAllrnkim znpiti, Moskva. Goii. 17d-vo geog. lit-r7, 1950. IIR p. [Microfilm]. (MLRA R:7) (SakhAlin-DeFicription and trfivel) OS IPOV . I Glorious traditicno. Sov.ahakht. 10 no.3z28-29 IAr 161. WIRA 14:7) (Gorlovka region-Historieftl munems) OSIPOV, 1. Home as appliances. Zhil.-kom. khoz.11 no.7:22-23 J'l 161. ( llj.Z;A :_I : 7) (Gas appliances) 031-ov, 1. USSP On: Fbstal, .,nd ~,t On: Locatior of vi -'a,e On: Food C mbinat. in r (i On , KLnderj-artpn and nir-.Ler :~v s-u,:ent!- ont !-~l s e um S I,, URCE: ',! s SakJial Inskiye ~~a~ is I , 'lorw(1w, 1 446. ALotractnd In ''. F P~port No. 1.72-45-49, on file in 1-ibrptz-:, of' C(,tgeis, i~.Ar I:XoMbtion Avl!,,ion, T U''SIR ()n: vl,~Ws of coa-l inc, cow, A r - c -d I n I i, 'C)T * F CE : , r r- 1.,~ i ','o. 'iLrqr', of' Re: ort on t'i'(, in Conpreqq, Ir Ion c-,irov, 1. US.3f? on t Soviet a/.,j 0 n:) i,,, ick -!' ),,. ',,)vi,,t ian,.o?r "Dr-nLb~~" SCt Kh: 1. Aroun(l th,: ',, rl,;, Oct.. li.6, or, (-- W. ALslr,ic-d In r;d" Rc, I o rt ' No -5')Ci,2 on filt- In of (,,rgf~ss, ;,ir lnformu;lion Dlvl3ion. 031-cv, 1. UsliR On t FrAtirogictil Ingtiti.te of On t orrice of Cn: De3cription of Central .square On: 1-IrysintLernpeutico In.,; I i f u t - X- rtAY Cm : Cca2 mine I .301, R('!,,: ~-.: Sakhilinskiy- 'al isi, "Osc,)w, 1 46. AL.,;ti,,,ctf--d in 3',F 1'lr-i~!3ure Re-ort 'lo. 1.725, -54, on rillp in Llbr~jr-..- o~ Coniz-e:;s, Air I,,,!0r':.[,tion Divifion. 031POVP 1. U3, I R Ont. Agricultural develo-ment in Kolkho2, Prize awarded On: Imports and exports of Sakhalin; navigation to and from the IBland On: Increase of coal production 17OURCE: Mi Sakhalinaxiye Zapisi, MDSCOWP 1~446 Abstracted In USAF 'Treasure Island " on file in Library of GonRri-s , Air Information Division. 49771, Repor'. No. 1,9702_, 4cf772 OSIFOV, 1. U."), R On: Entrance to hartor. Similitide to -- Crimean landecape On: Coal 0rrying stemer "Eskimon" SOURCE: M: Sakhalinskl~Fe Zapisi, Moscow, 1946 Abstracted 1z USAF "Treasure Island" Report No. - on file In Library of Congresn, Air uwo-rmati"n Division. 49773, 49"4 CZIFC)V, 1. U.,; -1 R On: Tunnel from city to Due On; Oil FToduction On: RefrigerFted storare place. SOURCE: M: Sakhalinskiye Zapisi Moscowo 1946 Abstracted in USAF "Treasure Island" Report No. , on file In Library of Congress, Air Information Division. 49694, 49695, 49700 COTIM, T. U-11" R ON: Oil aryl Coal Extraction in Sakhalin- Coking Ovens On: Air Journey fr,,m Alek9androvsk to Pilen'Ga. Thawing Airfield. Plane with SMs. SOURCE: M: Sakhalinskiye Zapisi Abstzacted in USAF "Treasure IsImnd" Report No. I on file in LV,rary of Corgiress, Air Information Division. 50226, 50227. OSTPOV. I . Tale of a patriotic beginning( n Hiner I e promise" by N.Mamal. Reviewed by I. 081POV). Mast. U91. 7 n0-10:17 0 '58.04IRA 11:11) (Coal mines and mlnirjr,) (Kamaj, N.) I~SiKvl i. t'"R On; 01, 1 ts, ' ev 1 c, 7,,! n' 6, - Und N Il T .1 J U.-i I f-~ , Nt-~, C 1 ' I P.9- bow,~ r I i ttr, I- j I-larin-sd - 00m, ,., T ' i SO 1 " C'-" : IM: SfMiq I irisk ive ~apisi , 05cow, 1~4f- Abstractod in i,3.'.F "Tr-ij,;L)r-,- Rrjort No. on fll-~ in '.JL,rbz7,, of Con,rf,s:,, Air In!,)rra-tion '.,Ivi-3ior,. - U,;.3h On: or On: ",,j n : bri r ; . Scull~cl;.: !!: Sa kiln I I. r,.,g k i V a ,,'11) 1 s I , ''o ,7 cc- %,. , I ,. ( .A t)!~ t r i , r t i,d I n " , F 111'r- - :; ": - : - f~ I I ! " 11pport No. l.'37.-'-" 3, on f 11 r, '% LI Lr~j ry of C,)iwres 3, Ai r Int' mv,! Ion Div I ~: ton. ,1ISIIOVI 1. U3 11; R On t 14, re t,j I I on i n 7Y 1,% 1 e:, wi- ~ n Klm . in r, 1, Who e. - - 1'.-7,mi of ' r,i,, , ^rce-. r .3k. lo ' ~,a 3 ~, 17, (,;~ : ''. S,ikloi ' in s k i~v e ZAi i i ~, ~ , .' os c o,,. , 0,.(, . , 1,3 1 r c I , d i n ' '. ~ 11", rt-a ;,. rr- -. s ~ ~i r,,. " Repol-t 14o., .l7M, on filr. in lit,rfir.y of' C(ngr,-.n, Air Inf'~;r.,Illon Divif,,Ic)n. cl;li~cv, 1. USSR cn: Lrv(- C, 11 -i'le I:cUl C~~: 11: iye 'a r j ~q,. , ,.os c,.)~,, , I oi.t . ri, c~ ~o ir ''., '- 1", rpa -tr~ : ~ -,I r, , " Re' doyodstvo Turkmenistans. Ashkhabad, Akadeells nauk Turkmenskot SSR, 1956. 175 p. (HLRA 10:8) (Turkmenistan--fruit culture) STAROMM, I G. , otv. red. ; YASTREBOV, M.M. ) ZILM. otv. red. VERKHODMOV, M.Kh., red.; GULLSHAMBAROV, F.M.. -A.: OSIFOV, I.G., red.; F11;KEL'SHTEYN, S.M., red. (I~quipment album; air heaters anci hosting units] Allbom obarudovaniia; kalorifery I agregaty. Voskva, 1964. 96 1. [Equipment album; unit air conditioners) Allbom oborudovar.~4ti; mostnyo konditnionery. Moakva, 1964. 105 p. (MIRA 18:4) 1. 'Moscow. Gosudnrstvennyy proyektnyy institut santekhprov-vt. 1 -c cLa I Im Z-; ----~4 WllUA Wt. IQ ru. IQ V-d -W _1 T. -.d ~M It) ;,Z- U4-: ... P-.v Ir,",4 IQ -A, .rA alwnta -7 11 11,1-T-P-W 'I -C T-l-, X2~TW U A- P-x I -.U -.,.d W.-MA rus :,d .-.Qzjd wj J. r-vd.-d j.. j-d- u1 si ... TV- P~ .%.,Q j.-Oj" 'T 'M PY 'U--Z 'A ~l '-Vl 'NAU.,.. 41i.=1 ... IN 7-w-f-e-v T.Wrllpvv CT j4f T rp%jvp~ s 4g .,~T ~d I. In A. A*'C.T.P-U J'a NC)Izv;lorlm X006 I UNNA (Z)9 !(*); !(O)ta OSIP(N.I.M., inzhener According to atandard plirms. Nauk a i zh I zn' 22 no. 6: 3-6 Je I)-,. (Industrial buildiaes-Standards) (KLRA 8:5) CSI F'-V, I. N. 37710 naahi iseled vaniya v oblasto Is-.cheniya klinki. patogeneza I etiolorii khromichss~dkh anpiokholetais- titov detakogi vozrasta. trudy tomakogo ned. in-ta In molotova. t.xv. 1949. s. 2~,~9-.)08. SO. -etopis' Zhurnallnykh Statey, Yol. 47, 1949 ,,-tdicine T, L I u -n-)s ; ' C) ,I"- a , : ~u, 1, 1 z I la.-iic )i' -., D: ~ ll~ ; ~ -, , I f , ; ' 1, '- T .,: ~- I . " "):-, t. t. I -,- Id s t o 1, ~ ;" , * ,~ ):~ ref's, C)C,,O.~ 7 - , . ~ ~c , , " I : ..' . - I r)slpo,.t , 1 .1, . EffLciency promoterL arvJ innovators -)f th(., Ural ;VIfrir lstrati,)n Razw,11. ~ j,~ n~ A r ! '- n,) I-- : ' -? - e' (1. , (.; ( "., I fi" ,. ~ j " I, Or-i '. ' ~ i, ),,"' t -") ~ OCI - ~,o~ko've -;,, rav I eniyv (Pro ~pect i ni-Tec I no I oF, c.i i I nri,)v at ) OSIPOV I N , prof.-. KCPNIN, J,,V., dots.; FETISCV, A.G., prof., red.; VOLKOVA, M.I., tokhn. red, (Basic problems of the theory cf dtagnoais) 0snovnye voprosy teorii diiignoza. Izd.2., (lop. t ispr. Tomsk, Izd-vo Tomskogo univ., 1962. 188 p. (MIRA 160) (DIAGNOSIS) [r4 ~ ( q % c w t r--J, ')' OSIPOT. I *9 professor; KOPNIN, P. "Diagnosis.' S.A.Giliarevskii. Reviewed by I.Osipov, P.Konnin. Sov.sed. 18 no.5:45-47 KY 154. (KLRA ?:5) (Diagnosis) (Gillarevskil. S.A.) OSIPOVP 1.0. Method of functional-invariant volutions for problems of the dynamic theory of elasticity of anisotropic media. Izv. AN SSSR. Ser. geofiz. no.3:391-396 Mr 163. WRA 16:3) 1. Petrozavodskiy gosudaretvannyy univeraitet. (Elasticity) (Anisotropy) GBIPOV, 1.0. Love waves in t1w anisotropic layer of monocline symetry. Izv. LN SSSR Ser. geofiz. no.5:687-694 My '63. (MIRA 16W 1. Petroxavodski)r Fosudaretvennyy universltet. (Seismic waves) (Anisotropy) 3 P ~) / ", 6 /04 9/61/000/012 //0102,'OC'Q D216/ D30 5 AUTHORt Osipov, 1.0. TITLEs Reflection and refraction of plane elastic waves Fit the boundary of a liquid and a solid aniaotropic bo- dy Boundary waves PERIODICALs Akademiya nauk SSSR. lzveatiya. Serlya t-eofizi-ht-f-, kaya, no- 12, 1961 , 176b - 1705 TEXT: The author solven the title problem using the method of V.I. Smirnov and S.L. Sol~,)lev, [Ab8tractor-s notet No reference ri ven. ] and studies the question of the existence of boundary waves A compressible liquid, with bulk modulus X, ani densityif I lies above and makes contact along a horizontal plane with a sol anisotropic bo- dy which has 4 elastic constants, c11, C229 C66, and c12, and density P . The boundary lies in the plane of the x- and z- axes, and the y-axis is in the upward direction. The plane longitudinal wave in the liqu-id 1F expressed in the form Card 1/ 13 ~2 ))P. S/o49'61/000/012/002/00'~ fieflec tion and rel ri~cticr, D216YD 503 _ - m y MW It Mx - m y ,[,2 2 2 a2 P2 2 2 tlt + mx m y 'here and al -A/ i~q also iihovin that plare wFivpg 1r 1h,- -ir tropl~ medum r4AY t,e wri"ten 2 2, c m n~, wt - mx + r~,y am dn Card 21 1 7, Heflection and refraction where cil a 1) P and 1,2 f, 9 8 S/04 9/61//000/012 / 002 /009 D216/1)305 c66 C66 ' C12 d - I P (b+d) 12 (ab+d 2_c2)m2 (b+d)l2 (ab+d 2_c2 ~m2j 2 k 2bd 2bd a ( 12 2)( 1~ 2 b a d and the minus and plus The boundary conditions 'a TJ -a V . ,I a y + -a x 09 Card 5/ 13 signs correspond to k - 1 and 2 respectively. which must be satisfied are 2(ra U1 V 1 P [ (,-.-d) U . b -Y PiaI ;Y -x + x YJ (Y-0) ~201)~ S/04 61/000//012/002/OC9 Reflection and refractiou D216YD303 In a previous paper, (Ref 51 Izv AN SSSR, ser geofiz. no the author established the relations 2 m2 n 1: n 12 ff,2 2 2 b2 b2 2 , for the velocities b 1 and b,) of waves of the first ard secund typp an anisotropic medium From this, the vulues of the v-lo(7itip; (if' waves at maximum or minimum are shown to be b 0) ab-(c--d)4 1 (a*-b ) - 2 (c-d, for the relation b 0 2 i*2 (a~b) Card 4/ 13 Reflection and refraction ... (a - d) b - c 2 > 0. between the elastic constants. Considering the behaviour of b 1 and b 2 with the angles which the respective waves make with the y-axis, the au- thor divides the anisotropic materials into 3 groups. Since, independent of the direction of propagation of the elastic %sve, b is always great- er than b 2' and since the elsatic wave velocity in a l1quid remains con- stant, for the various groups the inequalities min be > a,, b3 > 66 > all (32) min b, > a, > max be, b, > a, > be, (32s) niax b, < a,, -I > b, > be. (326) max be > a, > min be, tj >be> a,. b, >a, > be, (32s) max b, > a, > min hl. b, > a, > be. a, > b, > be. 0210 B/049/tI/000/012/002/009 D216ID30~ Card ~'1)698 S/049/61/000/012/002/(>09 Reflection and refraction ... D216/D303 occur, A plane elastic wave in the liquid(Eq. (4)) with 12/62_M2 > 0 is assumed to be incident on thv boundary at an angle N1- sin 1-1 Mal/I. Case Is aI>bI>b 2* The reflectcd way* is shown to be U- a rI/H - 1310 Y-I a-r,,/R . V11 the refraoted wave of the first type is 04, - -on,r./R. .Ujj V+1 o plr,/ Vjp and of the second type U+jj =2fj U V 2 3 IF , where R V +II 2 2 2 Pk M an + d% 2 02 nk 2 (k - 1,2) k (39) Card 6/13 3 ? 69 3 s/o4qj6l/OOO/012/002/009 D216/D3O3 Heflection and refraction and V M, + y-Tbl, + (c d)l rn C (n, - no) V b P1 nh(L' J11 (n, + n T'I__m .1 212 a ml) + d)n'. 211[. mi) + (c - d) a is I + (c -d)' m'~/ 7 -Ml 4 a-us - R - (n, - no) Pit I I v 4 + ab MI) V-1 --Mtji 114S + + (n n ) V E.~-_Mlj - a Card 7/13 11 6,?8 S/04gi/61/000/012/002/009 Reflection and refraction D216/D303 From this, a wave of the second type is not excited for normal inci- dence at the boundary. Case 2 1b I> a1-b . If the angle of inciden- ce is less than the angle of total internaf reflection, then the solu- tions of Case 1 apply. If not,, chen using the properties of complex variables, the total solution is U, Re U t + Mx + 12 .2y 2 F_a2 1 J~ V Re VII (It + mx +V 12 2 I a2 m 1 (1 t + = f12~ U_I - Re rl U JI a 2 22y) t R'k' Card 0/ 13 S/ /049/ 6 1 'OOO/U I 21002,(,OQ ft e f I e c t in Fi n d r e f ra - i 1)216/D50.!, r v 12 V- IPL U He -cr, It + rrx M, , L b 2 ( 2 v he +1 [ V=l a-2 v + I t mx I m y b 1 _ m cn,r -- I I \ I- 2 u H 4 It + Mx - 1 Y b 2 ~ Card 'r))9 /000/0 12 /002 /009 He e c t a nfl rk! I -Itc t ,'D 50 5 P'. v 11- ~ MY v l where IJ a jj~,, the rcp~ular fun- tions n tro, -plane )f '. tie - by ohan~,inr V_ ~0111P t-.-( 7- tt T ~tr 1 lib I e I and for IP-_ H it r - o t, a n,. an r,),n I I I b , ~j b b P 1 I the anr,. - d - less thit'i ,he t i I r, n,i r , f T', U as 11, Eq utior, S, ',I t ~_aq t1it. f U. ex-f-I't Ir . b 'it nc~,i 7- T, 1% T. 71 Card I()," ' 32698 S/049 /61,10oo/012/002/009 Reflection and refraction D216/D303 122 _W m2 _ 12 n, 1 /b and /b' .Case 41 a > b ;;p b, _,Irml '2 2 1 1 11 or bl> al> b2depending on the direction of motion of the wave. The solu- tion of' ase I applies under the same conditions as before. Otherwise, Eq, (49) gives the solution. Case 5: b >a >b or b '> b > a depen- 1 1 2 1 2 1 ding on the direction of the waves. The solution for 12/b22- m2> 0 ie as in Case 4. Utherwise, ifI2/b2 _ M2< 0, the solution is as for the 2 condition in Case 5. Turning to the possible production of boundary wav- es, it in shown that the vibrations in both media may be represented by complex plane waves if F~_L2 a ,2 1_ c a m- - (n n ) R - 0, (5c~ IF a b a 1 2 where Card 11/13 3 ? (~') I S/049/61/000/012/002/009 Reflection and refraction D216/D503 2 -? 12 + 2 2 R abl M -a (c - d) m m _ 12/d 2 2 2 2 )I m2 ~12 2 1 a -d -2- ab M m d jj m aI -Tt,- 12 2 12 m2 12 M L - m a - j 2 2 a b~ b 1 2 rind 1 2 2//b2 From thin. it fol -~o,,u that the exintence. of 1k V, m k Rnylelg,h type boundary waves In couplea with the fulfilment of' the condi- tion R - 0 Expressng H as a function r," -Lb . 1/m and gtudyir4- its va- riation ir, the whole of the complex plane by constructirW a Riemann sur- face. it is shown tht-t for a on the first she et of the sur- Card 1211~ 32o98 S/049/61/000/012/002/009 tteflect-,rin and refracticn D21b/D305 face, RO ) has one real root in the interval (0,a) and a sy-mmPt.-i root in the Interval (0,-a) Similarly, for al,,V- a T1 i a a R(-a) haT two roots equal in value and opposite In nign withi the in4rvalg (0,- d) From these real roots, the expresslons for th,- boundary waves may be completed There are 5 Soviet-bloc referenced ASSOC IATIO N: Pe t roz a vod sk iy go suds. rs t ve nyy uni ve r8 i te t ( Pp t rr) z a v,.. State University) SUBMITTEDi June 2o, 1961 Card I V 13