Standard problem in radiative-transfer theory

Details Standard problem in radiative-transfer theory Standard problem in radiative-transfer theory

Aug 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977afz....13..505i&link_type=abstract

Astrofizika, vol. 13, Aug. 1977, p. 505-515. In Russian.

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Astronomical Models, Planetary Atmospheres, Radiative Transfer, Stellar Atmospheres, Anisotropy, Iterative Solution, Kernel Functions, Mathematical Models, Milne Method, Radiation Distribution, Radiation Sources

Scientific paper

The standard problem of computing the radiation field in an isotropically dispersing semiinfinite atmosphere with exponentially distributed primary sources is considered on the basis of invariance principles. It is shown that there are several representations for the source function as a sum of the integral over the angular variable of intensity, taken with a certain weight, and a pseudosource corresponding to that weight. The representations include those which express the source function in terms of the intensity in downward directions alone. It is also found that the source function satisfies both the standard integral equation with a specific kernel and another equation with a symmetric difference kernel.

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