Abstract

For an arbitrary conducting surface Z(x, y) we obtained an analytical expression for the local refractive index ν as a function of Z, ∂Z/∂x, ∂Z/∂y, and the Drude conductivity σ by using the complex ray-tracing method. The Fresnel coefficients of reflectance and transmittance are then employed, and the value of ν is obtained to determine the scattered and refracted fields. The proposed method has advantages over the methods of solution by the Debye potential, the Laplace transform, and the vector-wave equation in the computation of the scattering and absorption parameters of a wide range of complex surface and wave-front geometries. The surface integrals obtained in the present study include the surface function in an explicit and concise form.

© 1988 Optical Society of America

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