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- W1574991864 abstract "AbstractWe study the influence of the space and time dispersion on the fre-quency dependence of the wave vectors of electromagnetic waves propa-gating in three-dimensional photonic crystals. Two types of structures areconsidered: media with weak periodic modulation of the permittivity, andphotonic crystals composed of the periodically arranged identical resonantdielectric particles. It is shown that in these systems, in contrast to elec-trons in solid crystals, different types of excitations exist. For example,a peculiar kind of polaritons arises in the photonic crystals due to theinteraction of the electromagnetic field, eigenoscillations of the dielectricmedium, and Debye resonance. The widths of the transparency zones andof the band gaps have been calculated as functions of the frequency andof the parameters of the media. It is shown that in the photonic crystalswith dispersion, the number of transparency bands is larger than in non-dispersive systems, and the width of the gaps in the frequency spectrum ofphotons depends on the wave vector. The interaction of different types ofwaves deforms the Brillouin zone, so that it may not have a plane boundary(for example, a sphere), in which case the classical Bragg condition doesnot hold.PACS: 78.20.-e, 71.36.+c, 71.35.-y" @default.
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- W1574991864 date "2005-04-21" @default.
- W1574991864 modified "2023-09-24" @default.
- W1574991864 title "Effect of spatial-time dispersion on the propagation of electromagnetic waves in photonic crystals" @default.
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