Journal or Publication Title:

Բյուրականի աստղադիտարանի հաղորդումներ: Երևանի աստղադիտարանի բյուլետեն = Сообщения Бюраканской обсерватории. Бюллетень ереванской Астрономической обсерватории = Contributions from the Burakan observatory. Bulletin of the Erevan astronomical observatory

Date of publication:

2025

Volume:

72

Number:

1

ISSN:

2579-2276

Coverage:

113-119

Abstract:

The method of decomposition of the resulting field (DRF) developed by the author is used to further simplify the solution of the diffuse reflection problem (DRP) from a semi-infinite medium in the case of redistribution of radiation by frequencies and directions. Taking into account the presence of a natural combination of frequency and angle of absorption of a quantum makes it possible to bring the solution of the problem to its complete simplification. The search for eigenfunctions and eigenvalues of DRP that depend on three independent variables and satisfy the joint system of integral equations with nonlinearity of the fifth degree and algebraic equations of the second degree is reduced to the determination of two types of new auxiliary functions from the system of nonlinear integral equations. The first type depends on only one argument with the second degree of nonlinearity of the equations, and the second one on three arguments with the third degree of nonlinearity of integral equations. The accompanying systems of algebraic equations that determine the corresponding eigenvalues are also simplified: instead of nonlinearity of the second degree, linear systems are obtained.

Format:

pdf

Identifier:

oai:arar.sci.am:425922

General note:

Communications of the Byurakan Astrophysical Observatory (ComBAO) is a peer-reviewed scientific journal, which publishes research in observational and theoretical astronomy/astrophysics and presents recent advances in these fields. It is being published by the NAS RA V. Ambartsumian Byurakan Astrophysical Observatory (BAO) in English in electronic form. The journal publishes original papers, review papers, brief reports, book reviews, special communications, observational and theoretical results in various fields of astronomy and related sciences, and some editorial notes, including anniversaries and obituaries. Under the heading “Legacy”, the renewed magazine will republish some old articles of high value in English. The heading “Guest articles” will bring to the attention of readers the articles of researchers who are not employees of BAO. ComBAO was founded in 1946 and regularly published in 1946-1990. However, the publication was interrupted because of the economic situation after the disintegration of the Soviet Union in 1991.

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան