Statistical description of a radiation field on the basis of the invariance principle. I. The mean number of scatterings in a medium illuminated from outside.

Details Statistical description of a radiation field on the basis of the invariance principle. I. The mean number of scatterings in a medium illuminated from outside. Statistical description of a radiation field on the basis of the invariance principle. I. The mean number of scatterings in a medium illuminated from outside.

Sep 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984afz....21..324n&link_type=abstract

Astrofizika, Tom 21, Vyp. 2, p. 324 - 341

Astronomy and Astrophysics

Astronomy

Radiative Transfer, Scattering

Scientific paper

A new approach to determine the mean number of scatterings based on Ambartsumyan's invariance principle and on the systematic application of the generating function method is suggested. The mean quantities evaluated in the paper concern the case when the medium is illuminated from outside. The photons destroyed as a result of diffusion in the medium and the photons escaping the medium are considered separately. It is shown that the suggested approach enables one to reveal the dependence of the mean number of scatterings on the characteristics of the incident photon and can be used under general assumptions concerning the elementary act of scattering.

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