JOSA A11 (1994) 759-765

General relation between surface impedance and surface curvature

T.T. Ong and V. Celli
Department of Physics, University of Virginia, Charlottesville, Virginia 22904

A.M. Marvin
Dipartimento di Fisica Teorica, Universita' di Trieste, 34014 Miramare, Grignano, Italy

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 dD, where d is the penetration depth of the electromagnetic field and D 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. 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.


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Notes: T.T. Ong is no longer at the University of Virginia. The ZIP code of this University has changed from 22901 to 22904.

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V. Celli, Department of Physics, University of Virginia
Charlottesville, Virginia 22904-4714
(804) 924-6573, vc@virginia.edu

Last Modified: July 20, 2001