Math @ Duke

Publications [#244174] of Stephanos Venakides
Papers Published
 Shipman, SP; Venakides, S, Resonant transmission near nonrobust periodic slab modes.,
Physical Review E  Statistical, Nonlinear, and Soft Matter Physics, vol. 71 no. 2 Pt 2
(2005),
pp. 026611, ISSN 15393755 [15783445], [doi]
(last updated on 2018/06/23)
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 boundaryintegral representations of the electromagnetic fields. These depend on the frequency and on the Bloch wave vector and provide a complexanalytic connection in these parameters between generalized scattering states and guided slab modes. The perturbation of three coincident zerosthose of the dispersion relation for slab modes, the reflection constant, and the transmission constantis central to calculating transmission anomalies both for lossless dielectric materials and for perfect metals.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

