Resonant transmission near nonrobust periodic slab modes.
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.
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https://hdl.handle.net/10161/6234Published Version (Please cite this version)
10.1103/PhysRevE.71.026611Publication 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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Show full item recordScholars@Duke
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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