SCIENTIFIC ABSTRACT GAZARYAN, YU.L. - GAZDAROV, M.

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CIA-RDP86-00513R000514530005-8
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RIF
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S
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100
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November 2, 2016
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July 19, 2001
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5
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Publication Date: 
December 31, 1967
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SCIENTIFIC ABSTRACT
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,jat &.r,7T.1 Tit L T L~~ . C-, A zARYA N L - "On 'Waveguide rroyagation -in Inhomogeneous Mediat'. Abstracted for inclusion in the Second International Congress on Acoustics, Cambridge, Mass., 17-24, Jun 1956 Acoustical Institute of AS, USSR, Moscow Category : USSR/Acoustics Sound vibrationa and waves J-2 Abs Jour : Ref Zhur - Fizika, No 1) 1957,No 2101 Author : Gazaryan. Yu. L. lnst : -Aeoustles M-sTTIISM, Academy of Sciences USSR Title :Concerning Waveguide Propagation of Sound in lion-Uniform Media Orig Pub :Akust. Zh., 1956, 2, No 2, 133-136 Abstract :Analysis cf the field of a point-source harmonic radiator, placed in an unevenly stratified medium, in which the speed of sound varies in the man- ner indicated by Epstein (smooth transition layer between two h=ogeneous half-spaces). An integral representation of the sallif-Acm Is obtained. Also considered is the case of the presence of a perfectly-reflecting boundary on the waveguide axis. Card 1/1 AUTHOR: Gazaryan, Yu.L. 46-2-5/23 z" TIIZZ: Waveguide sound propag4ion in one class of inhomogeneNsly stratified media. (Volnovodnoye rasp rostraneniyezvukEL diTa odnogo klassa sloisto-neodnorodnykh sred) 195~i PERIODICAL: "Akasticheskiy 71hurnal" (Journal of Acoustics), Vol. 3, No.29 pp. 127-141 (U.S.S.R.) ABSTRACT: (Some of the results have been given in (9) Yu.L.Gaza,4. yan: Waveguide sound propagation in inhomogeneous media. A, Acoustical Jourml, 1956, 29 21 133-136) In investigations of waveguide sound propagation the usual method of linear sound velocity approximation leads to very complicated computations and yields cumbersome results. ' t is therefore thought to be of interest to inVeStig~.te this propa-~~ gation when the sound velocity in the medium is determined by one analytical function only. In the present article, the author presents results of analysis of propagation for th 'type of medium as postulated by Epstein and as used by him in the investigation of reflection and of propa&-tion of a p ane 1, . electro-magaetic wave (1). In case of a sound wave, density of the medium is constant, the Epstein medium may,~be Card 1/5 represented in approximation as two homogeneous half -voli#es boun(i t%ether by a transitional layer, -the sound velocilir in 46-2-5/23 Vlaveguide sound propagation in one class of inhomogeneously stratified media. (Cont.) which varies between two values,, corxesponding to the two half- volumes. The sound velocity, moreover, in such a layer either has no maxima and minima, or has one maximim or minirmim only. For the last case, the layer would represent a waveguide depen- dence of sound velocity a(z) on distance z from its axis (for one of the parameters combinations as shown in Fig. 1.). The variable parameters are: the values of c at infinities, the minimum value of e and the layer width. It is shown that the solution for the field of a spherical point harmonic radiator is much aim lified for the symmetrical Epstein level when COO) = ce-40). The integral re resentation of the point source harmonic radiator field is iound next, first for the case of homogeneous medium assuming that the sound propaGation velocity depends only on the z ordinate of the cartesi= system eq.(2). The same equation may also be represented in the form of eq.(3). Bq, (2) has been obtained by the separation of variables method in cylindrical co-ordinates, where the expon- entials under the integrands are solutions of e ' (4). These have been so chosen that, when multiplied IV U x) , they Card 2/5represent incident plane waves. This corresponi to the physical cowept of a spherical waveg for z >,;Pzo 9 represented by the 46-2-5/23 Waveguide sound propagation in one class of inhomogeneously stratified media. (Cont.) superimposition of a travelling up homogeneous incident waves and of a travelling dovm inhomogeneous decaying waves, the sequence being reversed for z