Dispersion relation of a surface wave at a rough metal-air interface

Abstract

We derived a dispersion relation of a surface wave at a rough metal-air interface. In contrast to previous publications, we assumed that an intrinsic surface impedance due to a finite electric conductivity of the metal can be of the same order as the roughness-induced impedance. We then applied our results to the analysis of a long-standing problem of the discrepancy between the experimental data on the propagation of surface waves in the terahertz range of frequencies and the classical Drude theory.

Alignment‐ and metallic‐obstacle‐insensitive contactless power transmission system utilizing surface‐guided mode

“…It has maximum field strength along the interface, and decays exponentially normal to the interface into both materials. In [10,11], authors derived a dispersion relation of a surface wave at a metal-air interface, in both cylindrical and flat metal surfaces with finite conductivity of the metal. The key to couple free space electromagnetic wave to surface wave, is to satisfy the conservation of energy and momentum [9].…”