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Resonant transmission near nonrobust periodic slab modes.

Publication ,  Journal Article
Shipman, SP; Venakides, S
Published in: Physical review. E, Statistical, nonlinear, and soft matter physics
February 2005

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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Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

February 2005

Volume

71

Issue

2 Pt 2

Start / End Page

026611

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Shipman, S. P., & Venakides, S. (2005). Resonant transmission near nonrobust periodic slab modes. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 71(2 Pt 2), 026611. https://doi.org/10.1103/physreve.71.026611
Shipman, Stephen P., and Stephanos Venakides. “Resonant transmission near nonrobust periodic slab modes.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 71, no. 2 Pt 2 (February 2005): 026611. https://doi.org/10.1103/physreve.71.026611.
Shipman SP, Venakides S. Resonant transmission near nonrobust periodic slab modes. Physical review E, Statistical, nonlinear, and soft matter physics. 2005 Feb;71(2 Pt 2):026611.
Shipman, Stephen P., and Stephanos Venakides. “Resonant transmission near nonrobust periodic slab modes.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 71, no. 2 Pt 2, Feb. 2005, p. 026611. Epmc, doi:10.1103/physreve.71.026611.
Shipman SP, Venakides S. Resonant transmission near nonrobust periodic slab modes. Physical review E, Statistical, nonlinear, and soft matter physics. 2005 Feb;71(2 Pt 2):026611.

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

February 2005

Volume

71

Issue

2 Pt 2

Start / End Page

026611

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences