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Radiative transfer in a cylinder. II. Special problems. Asymptotics. / Nagirner, D. I.

в: Astrophysics, Том 37, № 4, 01.10.1994, стр. 362-371.

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Nagirner, D. I. / Radiative transfer in a cylinder. II. Special problems. Asymptotics. в: Astrophysics. 1994 ; Том 37, № 4. стр. 362-371.

BibTeX

@article{a0b8e922f0a04ffe84fbcfc77d0db977,
title = "Radiative transfer in a cylinder. II. Special problems. Asymptotics",
abstract = "The method of computing the radiation field in an infinite circular cylinder proposed in Part I is now applied to the case of isotropic scattering with sources on the boundary and axis of the cylinder, as well as for a uniform distribution of sources inside the cylinder. For the simplest kernel we obtain exact solutions of the basic integral equation in explicit form. For scattering in a spectral line with complete frequency redistribution and a power absorption profile we develop an asymptotic theory for the case when the optical radius of the cylinder is large. We solve the asymptotic equations for the basic characteristics of the scattering in closed form for conservative scattering and find its asymptotics. We obtain estimates of the mean number of scatterings with a layered source, and also the mean and variance of the number of scatterings with a uniform source distribution. {\textcopyright} 1995 Plenum Publishing Corporation.",
author = "Nagirner, {D. I.}",
year = "1994",
month = oct,
day = "1",
doi = "10.1007/BF02059409",
language = "English",
volume = "37",
pages = "362--371",
journal = "Astrophysics",
issn = "0571-7256",
publisher = "Wolters Kluwer",
number = "4",

}

RIS

TY - JOUR

T1 - Radiative transfer in a cylinder. II. Special problems. Asymptotics

AU - Nagirner, D. I.

PY - 1994/10/1

Y1 - 1994/10/1

N2 - The method of computing the radiation field in an infinite circular cylinder proposed in Part I is now applied to the case of isotropic scattering with sources on the boundary and axis of the cylinder, as well as for a uniform distribution of sources inside the cylinder. For the simplest kernel we obtain exact solutions of the basic integral equation in explicit form. For scattering in a spectral line with complete frequency redistribution and a power absorption profile we develop an asymptotic theory for the case when the optical radius of the cylinder is large. We solve the asymptotic equations for the basic characteristics of the scattering in closed form for conservative scattering and find its asymptotics. We obtain estimates of the mean number of scatterings with a layered source, and also the mean and variance of the number of scatterings with a uniform source distribution. © 1995 Plenum Publishing Corporation.

AB - The method of computing the radiation field in an infinite circular cylinder proposed in Part I is now applied to the case of isotropic scattering with sources on the boundary and axis of the cylinder, as well as for a uniform distribution of sources inside the cylinder. For the simplest kernel we obtain exact solutions of the basic integral equation in explicit form. For scattering in a spectral line with complete frequency redistribution and a power absorption profile we develop an asymptotic theory for the case when the optical radius of the cylinder is large. We solve the asymptotic equations for the basic characteristics of the scattering in closed form for conservative scattering and find its asymptotics. We obtain estimates of the mean number of scatterings with a layered source, and also the mean and variance of the number of scatterings with a uniform source distribution. © 1995 Plenum Publishing Corporation.

UR - http://www.scopus.com/inward/record.url?scp=34249753616&partnerID=8YFLogxK

U2 - 10.1007/BF02059409

DO - 10.1007/BF02059409

M3 - Article

AN - SCOPUS:34249753616

VL - 37

SP - 362

EP - 371

JO - Astrophysics

JF - Astrophysics

SN - 0571-7256

IS - 4

ER -

ID: 138353090