000			02246nab a2200289 c 4500
001			vtls000660523
003			RU-ToGU
005			20210922103009.0
007			cr |
008			190710|2019 ru s a eng d
035			_ato000660523
040			_aRU-ToGU _brus _cRU-ToGU
100	1		_aLosev, D. V. _9497582
245	1	0	_aMethod of iterated kernels in problems of wave propagation in heterogeneous media _cD. V. Losev, D. S. Bardashov
504			_aБиблиогр.: 5 назв.
520	3		_aThe approximated solution of the wave propagation problem in smoothly heterogeneous medium on the basis of the method of iterated kernels is proposed in this article. The solution is obtained by the method of successive approximations to an integral equation, which is equivalent to the Helmholtz scalar equation. Since the exact calculation of iterated kernels is impossible for arbitrary spatial dependence of medium dielectric permittivity, approximate estimation is used applying several first Taylor expansion terms. In purpose of exact calculating of the double series for resolvent a method, based on identifying of coefficients of a power series with orthogonal polynomial, which is calculated by Rodrig's generalized formula, will be applied. The final solution has a compact form and unites the advantages of Born scattering and short-wave asymptotic methods. The proposed solution requires smoothness of medium heterogeneities changes, scilicet the smallness of first and second derivatives of the dielectric permittivity, but not of the dielectric permittivity itself.
653			_aраспространение волн
653			_aдиэлектрическая проницаемость среды
653			_aборновское рассеяние
655		4	_aстатьи в журналах _9745982
700	1		_aBardashov, D. S. _9497583
773	0		_tInternational journal of open information technologies _d2019 _gVol. 7, № 1. P. 8-11 _x2307-8162
852	4		_aRU-ToGU
856	4		_uhttp://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000660523
908			_aстатья
999			_c458551