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Proceedings Paper

Coherent scattering of an electromagnetic wave from, and its transmission through, a slab of a left-handed medium with a randomly rough illuminated surface
Author(s): Tamara A. Leskova; Alexei A. Maradudin; Ingve Simonsen
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Paper Abstract

Recently a physical medium was fabricated in which both the effective permittivity and the effective permeability are simultaneously negative over a restricted frequency range. Thus, in this frequency range such a medium is "left--handed", and is characterized by a negative refractive index. In this paper we study the scattering of p-and s-polarized electromagnetic waves from, and their transmission through, a slab of a left--handed medium whose illuminated surface is a one-dimensional randomly rough surface. We assume that the surface profile function is a single-valued function of the coordinate in the mean plane of the surface that is normal to its grooves and ridges, and constitutes a zero-mean, stationary, Gaussian random process. In the frequency range we are interested in, the electric and magnetic excitations give rise to p- and s-polarized surface polaritons, Brewster modes, and waveguide modes in the slab. The reflectivity and the transmissivity of such a slab as a function of the angle of incidence displays structure associated with the existence of a Brewster angle in both polarizations and the existence of a critical angle for total internal reflection in both polarizations. The presence of surface roughness leads to a shift of the Brewster angle, the sign of which depends on the existence or nonexistence of surface or guided waves at the frequency of the incident field.

Paper Details

Date Published: 16 October 2003
PDF: 14 pages
Proc. SPIE 5189, Surface Scattering and Diffraction III, (16 October 2003); doi: 10.1117/12.503386
Show Author Affiliations
Tamara A. Leskova, Univ. of California, Irvine (United States)
Alexei A. Maradudin, Univ. of California, Irvine (United States)
Ingve Simonsen, Norwegian Univ. of Science and Technology (Norway)

Published in SPIE Proceedings Vol. 5189:
Surface Scattering and Diffraction III
Zu-Han Gu; Alexei A. Maradudin, Editor(s)

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