NDLI: Group-theoretical description of radiative transfer in one-dimensional media

Content Provider	Springer Nature Link
Author	Nikoghossian, A. G.
Copyright Year	2011
Abstract	Group theory is used to describe a procedure for adding inhomogeneous absorbing and scattering atmospheres in a one-dimensional approximation. The inhomogeneity originates in the variation of the scattering coefficient with depth. Group representations are derived for the composition of media in three different cases: inhomogeneous atmospheres in which the scattering coefficient varies continuously with depth, composite or multicomponent atmospheres, and the special case of homogeneous atmospheres. We extend an earlier proposal to solve problems in radiative transfer theory by first finding global characteristics of a medium (reflection and transmission coefficients) and then determining the internal radiation field for an entire family of media without solving any new equations. Semi-infinite atmospheres are examined separately. For some special depth dependences of the scattering coefficients it is possible to obtain simple analytic solutions expressed in terms of elementary functions. An algorithm for numerical solution of radiative transfer problems in inhomogeneous atmospheres is described.
Starting Page	126
Ending Page	138
Page Count	13
File Format	PDF
ISSN	05717256
Journal	Astrophysics
Volume Number	54
Issue Number	1
e-ISSN	15738191
Language	English
Publisher	Springer US
Publisher Date	2011-03-26
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	radiative transfer one-dimensional medium group representation Astronomy, Observations and Techniques Extraterrestrial Physics, Space Sciences Astrophysics and Astroparticles Astronomy, Astrophysics and Cosmology
Content Type	Text
Resource Type	Article
Subject	Astronomy and Astrophysics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Solution of Linear Radiative Transfer Problems in Plane-Parallel Atmospheres. III

Solution of linear radiative transfer problems in plane-parallel atmospheres. II

Solution of linear radiative transport problems in plane-parallel atmospheres. I.

Internal Radiation Field in the Nonlinear Transfer Problem for a One-Dimensional Anisotropic Medium. I.

Unified structure of analytical solutions for radiative transfer problems in plane-parallel, homogeneous media

Stochastic transfer of polarized radiation in finite cloudy atmospheric media with reflective boundaries

Bilinear integrals of the radiative transfer equation

Ambartsumian’s invariance principle and some nonlinear relations in radiative transfer theory

Internal Radiation Field in the Nonlinear Transfer Problem for a One-Dimensional Anisotropic Medium. II

Group-theoretical description of radiative transfer in one-dimensional media

Similar Documents

Solution of Linear Radiative Transfer Problems in Plane-Parallel Atmospheres. III

Solution of linear radiative transfer problems in plane-parallel atmospheres. II

Solution of linear radiative transport problems in plane-parallel atmospheres. I.

Internal Radiation Field in the Nonlinear Transfer Problem for a One-Dimensional Anisotropic Medium. I.

Unified structure of analytical solutions for radiative transfer problems in plane-parallel, homogeneous media

Stochastic transfer of polarized radiation in finite cloudy atmospheric media with reflective boundaries

Bilinear integrals of the radiative transfer equation

Ambartsumian’s invariance principle and some nonlinear relations in radiative transfer theory

Internal Radiation Field in the Nonlinear Transfer Problem for a One-Dimensional Anisotropic Medium. II

Group-theoretical description of radiative transfer in one-dimensional media