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Resonant transmission near nonrobust periodic slab modes.

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Date
2005-02
Authors
Shipman, Stephen P
Venakides, Stephanos
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Abstract
We present a precise theoretical explanation and prediction of certain resonant peaks and dips in the electromagnetic transmission coefficient of periodically structured slabs in the presence of nonrobust guided slab modes. We also derive the leading asymptotic behavior of the related phenomenon of resonant enhancement near the guided mode. The theory applies to structures in which losses are negligible and to very general geometries of the unit cell. It is based on boundary-integral representations of the electromagnetic fields. These depend on the frequency and on the Bloch wave vector and provide a complex-analytic connection in these parameters between generalized scattering states and guided slab modes. The perturbation of three coincident zeros-those of the dispersion relation for slab modes, the reflection constant, and the transmission constant-is central to calculating transmission anomalies both for lossless dielectric materials and for perfect metals.
Type
Journal article
Permalink
https://hdl.handle.net/10161/6234
Published Version (Please cite this version)
10.1103/PhysRevE.71.026611
Publication Info
Shipman, Stephen P; & Venakides, Stephanos (2005). Resonant transmission near nonrobust periodic slab modes. Phys Rev E Stat Nonlin Soft Matter Phys, 71(2 Pt 2). pp. 026611. 10.1103/PhysRevE.71.026611. Retrieved from https://hdl.handle.net/10161/6234.
This is constructed from limited available data and may be imprecise. To cite this article, please review & use the official citation provided by the journal.
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Scholars@Duke

Venakides

Stephanos Venakides

Professor of Mathematics
Fields of work: Pure and applied mathematics, physics and biology. Specific areas: Differential equations,  integrable systems, acoustic and electromagnetic scattering (especially transmission anomalies and resonances), photonic crystals, exciton polaritons and micromagnetics. Invited as one of the three Abel lecturers in the award of the Abel Prize to Peter Lax, The Norwegian Academy of Science and Letters, Oslo, Norway, May 2005 <a href="http://www.abelprize.no/c57575
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