97-533 Figotin A., Klein A.

Localization of Light in Lossless Inhomogeneous Dielectrics (745K, Postscript) Oct 2, 97

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Abstract. The phenomenon of localization of electromagnetic waves in losless inhomogeneous dielectric media is studied. We consider a three dimensional lossless periodic medium (photonic crystal) having a gap in the frequency spectrum (photonic band gap). If such a medium is perturbed by either a single defect or a random array of defects, exponentially localized electromagnetic waves arise with frequencies in the gap. For a single defect we derive equations for these midgap frequencies, and estimate their number. For a random medium we show the existence of the phenomenon of Anderson localization for electromagnetic waves.

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