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Applied Optics

Applied Optics


  • Vol. 38, Iss. 7 — Mar. 1, 1999
  • pp: 1197–1212

Impedance boundary conditions for a metal film with a rough surface

Tamara A. Leskova, Alexei A. Maradudin, and Igor V. Novikov  »View Author Affiliations

Applied Optics, Vol. 38, Issue 7, pp. 1197-1212 (1999)

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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(x1) < x3 < D. The surface-profile function ζ(x1) is assumed to be a single-valued function of x1 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 x1x3 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(x1) 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

OCIS Codes
(240.0310) Optics at surfaces : Thin films
(240.4350) Optics at surfaces : Nonlinear optics at surfaces
(240.5770) Optics at surfaces : Roughness
(290.5880) Scattering : Scattering, rough surfaces

Original Manuscript: November 25, 1998
Published: March 1, 1999

Tamara A. Leskova, Alexei A. Maradudin, and Igor V. Novikov, "Impedance boundary conditions for a metal film with a rough surface," Appl. Opt. 38, 1197-1212 (1999)

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