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Localized electromagnetic waves in a layered periodic dielectric medium with a defect

1998; American Physical Society; Volume: 58; Issue: 1 Linguagem: Inglês

10.1103/physrevb.58.180

1095-3795

Alexander Figotin, V. I. Gorentsveig,

Quantum optics and atomic interactions

Electromagnetic waves propagating perpendicularly to the layers in a layered periodic dielectric medium with an embedded defect are studied. We develop an analytical method to obtain the solution to the spectral problem for such a one-dimensional system with an arbitrary configuration of the period cell and of the defect. It is shown that the defect induces localized electromagnetic modes with a discrete spectrum of frequencies located in the band gaps of an unchanged continuous spectrum. We derive equations for the gaps, for the discrete spectrum, and for the localization rate. For a case of a two-layer periodic medium with an embedded one-layer defect we carry out a complete analysis of the dependence of the frequency and of the rate of localization of a defect-induced mode on the parameters of the defect and of the periodic medium.