Photon path-length distribution function (1)

Details Photon path-length distribution function (1) Photon path-length distribution function (1)

Jan 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994ap%26ss.211..307v&link_type=abstract

Astrophysics and Space Science, vol. 211, no.2, p. 307-322

Computer Science

Numerical Analysis

3

Anisotropy, Distribution Functions, Homogeneity, Optical Paths, Planetary Atmospheres, Scattering, Albedo, Asymptotic Methods, Minima, Numerical Analysis

Scientific paper

The determination of the photon Path-Length Distribution Function (PLDF) for the case of linearly anisotropic (Rocard) scattering in a semi-infinite plane-parallel homogeneous atmosphere using the Piessens-Huysmans method is described in detail. It has been shown that in this case the PLDF may have a minimum at small path-lengths a feature which is never encountered in isotropic scattering. The respective regions with minima in the (mu, lambda)-plane have been sorted out. As a rule, the average path-length in the case of the foward/backward Rocard scattering is larger/smaller than that in the isotropic case. The precise average path-lengths for a number of parameters are shown in Table 1.

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