## Impedance boundary conditions for a metal film with a rough surface

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

http://dx.doi.org/10.1364/AO.38.001197

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### 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

**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

**History**

Original Manuscript: November 25, 1998

Published: March 1, 1999

**Citation**

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)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-38-7-1197

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### References

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