Total Resonant Transmission and Reflection by Periodic Structures

Details Total Resonant Transmission and Reflection by Periodic Structures Total Resonant Transmission and Reflection by Periodic Structures

2011-05-14

arxiv.org/abs/1105.2906v2

Physics

Mathematical Physics

Revisions: Improved figures, fixed typos, expanded explanations in Sec. 3.2

Scientific paper

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 two-dimensional structures, we establish sufficient conditions, involving structural symmetry, under which these anomalies are characterized by 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.

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