Joint Summer Research Conference in the Mathematical Sciences
Mathematical Modeling of Novel Optical Materials and Devices
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Stephen Shipman's Abstract

Anomalous scattering behavior near guided electromagnetic modes

Interesting scattering behavior of electromagnetic fields in periodic slabs is caused by the presence of guided and quasi-guided modes. The anomalous behavior involves transmission and reflection resonances as well as extraordinary amplitude enhancement inside the structure. The nature of the anomalies depends on the robustness of the guided modes. We calculate asymptotic formulas for these anomalies that depend only on very general characteristics of nonrobust modes and not on the specific geometry of the slab.

Snowbird, Utah     June 11 - 17, 2005