Spectral Theory in the Absence of Ellipticity for High Contrast Photonic Crystals

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:zht20090907
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  Photonic crystals employ high contrast media for controlling light.Here we identify an underlying quasiperiodic resonance spectra and use it to represent solution operators associated with the Maxwell system for high contrast photonic crystals.We develop representation formulas for the resolvent for selfadjoint holomorphic families of operators.This technique is applied to compute and to design dispersion characteristics for photonic crystals.Computational examples of this approach are provided to illustrate the ideas.
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