A double-integral formulation of ambarzumian's method for isotropic scattering in a two-dimensional, semi-infinite medium

For a two-dimensional, semi-infinite, rectangular medium which scatters isotropically, a new integral equation for the source function at the boundary is obtained by using a double-integral formulation of Ambarzumian's method. The incident radiation is cosine-varying and collimated. The medium...

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Bibliographic Details
Published inJournal of quantitative spectroscopy & radiative transfer Vol. 42; no. 1; pp. 33 - 38
Main Authors Crosbie, A.L., Shieh, S.M.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.07.1989
New York, NY Elsevier
Subjects
Astronomy
Earth, ocean, space
Exact sciences and technology
Fundamental aspects of astrophysics
Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations
Radiative transfer ; scattering
Scattering medium
Semiinfinite medium
Two dimensional system
Theoretical study
Integral equation
Radiative transfer
Source function
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Summary:For a two-dimensional, semi-infinite, rectangular medium which scatters isotropically, a new integral equation for the source function at the boundary is obtained by using a double-integral formulation of Ambarzumian's method. The incident radiation is cosine-varying and collimated. The medium is assumed to be homogeneous, non-emitting and to have a refractive index of unity. The double- and single-integral formulations are compared, and the relative merits of the two approaches are discussed.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0022-4073
1879-1352
DOI:10.1016/0022-4073(89)90106-4