Abstract

We have obtained local impedance boundary conditions for a metal film characterized by an isotropic, frequency-dependent, complex dielectric function ∊(ω) that occupies the region ζ(x 1) < x 3 < D. The surface-profile function ζ(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 ζ(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.

© 1999 Optical Society of America

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