Polarized light transfer above a reflecting surface
Abstract
Existence and uniqueness are established for the solution of the equation of transfer of polarized light in a homogeneous atmosphere of finite optical thickness, assuming reflection by the planetary surface. A general Lpspace formulation is adopted. The boundaryvalue problem is first written as a vectorvalued integral equation. Using monotonicity properties of the spectral radii of the integral operators involved as well as recent halfrange completeness results for kinetic equations with reflective boundary conditions, the present results follow as a corollary.
 Publication:

Mathematical Methods in the Applied Sciences
 Pub Date:
 1986
 DOI:
 10.1002/mma.1670080121
 Bibcode:
 1986MMAS....8..311V
 Keywords:

 Atmospheric Scattering;
 Boundary Value Problems;
 Existence Theorems;
 Light Scattering;
 Polarized Light;
 Uniqueness Theorem;
 Albedo;
 Boundary Conditions;
 Continuity (Mathematics);
 Monotone Functions;
 Optical Reflection;
 Transfer Functions;
 Optics