Abstract

In an attempt to shed additional light on the extraordinary transmission of an electromagnetic wave through a subwavelength aperture, we undertake a more detailed analysis of the canonical problem of the magnetic field of a line source located at a silver–dielectric interface at optical wavelengths. In particular, we present a closed-form asymptotic evaluation of the branch cut integral and show that the branch cut term initially decays as $x^{ - 1/2} $ , where $x$ is the distance between the source and the field point along the interface, but for larger distances, it falls off more rapidly as $x^{ - 3/2} $ . We also address the effect on a surface plasmon of a tarnished silver substrate. Our analysis supports the extraordinary transmission surface plasmon electromagnetic interaction model, explains the origin of the so-called “creeping wave,” and shows that the tarnish layer has a significant damping effect on the surface plasmon polariton.

© 2014 IEEE

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