Expansions for two-dimensional back-scattering from a semi-infinite medium with refractive index greater than unity

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Backscattering, Laser Beams, Light Scattering, Refractivity, Anisotropy, Boundary Conditions, Fraunhofer Lines, Fresnel Region, Radiative Transfer

Scientific paper

Two-dimensional scattering from a semi-infinite medium with a refractive index greater than unity is investigated. The incident radiation is collimated and normal to the surface of a pure scattering medium. The spatial variation of the incident radiation is characterized by a spatial frequency. Expansions valid for small spatial frequencies are developed and used to find solutions valid for large optical distances from an incident Gaussian-shaped laser beam. Expressions for the back-scattered intensity and flux are presented. Also, the solution for a strongly anisotropic phase function which is composed of a spike in the forward direction superimposed on an otherwise isotropic phase function is expressed in terms of the isotropic results.

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