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Վերնագիր: Separation of Frequency Variables in the Problem of Diffuse Reflection from a Semi-Infinite Medium under Isotropic Scattering with a General Law of Radiation Redistributionby Frequencies

Ստեղծողը:

Pikichyan, H. V.

Տեսակ:

Electronic journal

Ամսագրի կամ հրապարակման վերնագիր:

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

Հրապարակման ամսաթիվ:

2023

Հատոր:

70

Համար:

2

ISSN:

2579-2276

Ծածկույթ:

204-211

Ամփոփում:

In the presented work, with the help of a new approach previously proposed by the author, the problem of diffuse reflection of radiation from a plane-parallel semi-infinite medium under isotropic scattering in the case of the general law of radiation redistribution by frequencies is solved. Resulting solution implements the possibility of separating a pair of independent variables (namely, the frequency and direction of the quantum) of entering the medium quanta from the same pair of exiting quanta. The advantage of this approach in relation to the known methods is that the separation of the explanatory variables is achieved without the need to solve the additional problem of separation or any special representation of the characteristics of a single act of scattering. Here, in an expanded form is sought namely the solution of the modified initial problem, instead of a preliminary decomposition of the characteristics of a single act of scattering. As a result, the unknown function of the four explanatory variables is expressed explicitly through a system of auxiliary functions that depend on only two variables. For this purpose, a problem for eigenvalues and eigenfunctions is formulated for a specially selected and previously unknown kernel. Bilateral relationships between the solutions of the new and traditionally used methods are obtained, which makes it possible to directly compare their accuracy and efficiency. The general scheme of the organization of calculations is also discussed.

Ձևաչափ:

pdf

Նույնացուցիչ:

oai:arar.sci.am:367717

Գլխավոր նշում:

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.

Բնօրինակի գտնվելու վայրը:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Օբյեկտի հավաքածուներ:

Վերջին անգամ ձևափոխված:

Aug 1, 2024

Մեր գրադարանում է սկսած:

Jan 9, 2024

Օբյեկտի բովանդակության հարվածների քանակ:

18

Օբյեկտի բոլոր հասանելի տարբերակները:

https://arar.sci.am/publication/397456

Ցույց տուր նկարագրությունը RDF ձևաչափով:

RDF

Ցույց տուր նկարագրությունը OAI-PMH ձևաչափով։

OAI-PMH

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