Vector theory of light scattering from a rough surface: Unitary and reciprocal expansions

1984 
Abstract We present a vector theory of light scattering from a rough surface which is based on the Rayleigh solution to the electromagnetic boundary value problem. The extinction theorem is used in order to obtain the “reduced” Rayleigh equations, which involve only the field outside the medium. These equations may be written in a way that makes the unitarity and reciprocity of the theory readily apparent, and also provides a means of generating approximate solutions that satisfy this requirement. As a result, this formalism provides a convenient starting point for making flux-conserving approximations when treating the scattering of light from a randomly rough surface.
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