Total resonant transmission and reflection by periodic structures

Document Type

Article

Publication Date

6-4-2012

Abstract

Resonant scattering of plane waves by a periodic slab under conditions close to those that support a guided mode is accompanied by sharp transmission anomalies. For twodimensional structures, we establish sufficient conditions, involving structural symmetry, under which these anomalies attain total transmission and total reflection at frequencies separated by an arbitrarily small amount. The loci of total reflection and total transmission are real-analytic curves in frequency-wavenumber space that intersect quadratically at a single point corresponding to the guided mode. A single anomaly or multiple anomalies can be excited by the interaction with a single guided mode. © 2012 Society for Industrial and Applied Mathematics.

Publication Source (Journal or Book title)

SIAM Journal on Applied Mathematics

First Page

216

Last Page

239

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