Abstract

We have obtained local impedance boundary conditions for a metal film characterized by an isotropic, frequency-dependent, complex dielectric function epsilon(omega) that occupies the region zeta(x(1)) < x(3) < D. The surface-profile function zeta(x(1)) is assumed to be a single-valued function of x(1) that is differentiable as many times as is necessary. The electromagnetic field in the system is assumed to be p polarized with the plane of incidence, the x(1)x(3) plane. The results are used to study the scattering of p-polarized light from and its transmission through the metal film when the surface-profile function zeta(x(1)) in these calculations is assumed to be a stationary, zero-mean, Gaussian random process. These calculations are approximately four times faster than rigorous computer simulations, and their results are qualitatively and quantitatively in good agreement with those of the latter simulations.

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