Abstract

We relate in a general way the surface impedance of a metal to the local curvature of the surface. We obtain the corrections to the flat-surface impedance formula up to second order in dΔ, where d is the penetration depth of the electromagnetic field and Δ is the difference between maximum and minimum curvature. We give explicit expressions relating to each other the electric and magnetic fields parallel to the surface, E_|| and H_||, respectively. We show that the terms neglected in the surface impedance approximation contain only the second derivatives of these fields in the plane tangent to the surface.

© 1994 Optical Society of America

Impedance boundary conditions for a metal film with a rough surface

Tamara A. Leskova, Alexei A. Maradudin, and Igor V. Novikov
Appl. Opt. 38(7) 1197-1212 (1999)

Scattering of a wave at a periodic boundary: analytical expression for the surface impedance

Ricardo A. Depine
J. Opt. Soc. Am. A 5(4) 507-510 (1988)

Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz–Mie theory. II. Off-axis beams

Gérard Gouesbet and James A. Lock
J. Opt. Soc. Am. A 11(9) 2516-2525 (1994)

Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz–Mie theory. I. On-axis beams

James A. Lock and Gérard Gouesbet
J. Opt. Soc. Am. A 11(9) 2503-2515 (1994)

Pulse compression, fiber communications, and diffraction: a unified approach

Athanasios Papoulis
J. Opt. Soc. Am. A 11(1) 3-13 (1994)