Share Email Print
cover

Proceedings Paper

The vectorial radiative transfer equation problem in the small angle modification of the spherical harmonics method with the determination of the solution smooth part
Author(s): V. P. Budak; S. V. Korkin
Format Member Price Non-Member Price
PDF $14.40 $18.00

Paper Abstract

The paper deals with the vectorial radiative transfer equation (VRTE) problem for a homogeneous strongly anisotropic scattering slab illuminated by a plain unidirectional source of light with an arbitrary angle of irradiance and polarization state. The problem is a theoretical base for the polarized satellite remote sensing (POLDER, PARASOL and others). The VRTE boundary problem decomposition allows reducing to the nonreflecting bottom with subsequent including its polarization properties. We give the complete analysis for the solution smooth non-small angle part for the vectorial small angle modification of the spherical harmonics method (VMSH) built upon the smoothness of the spatial spectrum of the light field distribution vector-function caused by mathematical singularities of the top-boundary condition for the VRTE boundary problem and the anisotropy of many natural scattering media (clouds, ocean). The VMSH itself is described as well.

Paper Details

Date Published: 8 December 2006
PDF: 8 pages
Proc. SPIE 6408, Remote Sensing of the Atmosphere and Clouds, 64081I (8 December 2006); doi: 10.1117/12.694092
Show Author Affiliations
V. P. Budak, Moscow Power Engineering Institute Technical Univ. (Russia)
S. V. Korkin, Moscow Power Engineering Institute Technical Univ. (Russia)


Published in SPIE Proceedings Vol. 6408:
Remote Sensing of the Atmosphere and Clouds
Si-Chee Tsay; Teruyuki Nakajima; Ramesh P. Singh; R. Sridharan, Editor(s)

© SPIE. Terms of Use
Back to Top