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

Photonic crystals made up from dispersive and absorptive dielectrics.

Small metallic objects can have a strongly dispersive electric susceptibility, which makes them interesting candidates for the construction of photonic crystals with a band gap. Indeed it is possible to obtain a large dielectric contrast in certain frequency ranges, a desirable feature for the existence of photonic band gaps. On the other hand, dispersive behavior goes hand in hand with absorption and this raises the question how to deal with such systems. Important issues are band structure, the local density of states, energy conservation, quantization and perturbation expansions for small absorption. We discuss a few aspects of the progress made in this field, including some numerical results.

Snowbird, Utah     June 11 - 17, 2005