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The exact photonic band structure for a class of media with periodic complex moduli. (English) Zbl 1099.78009

For a certain class of periodic media, an exact formula for the photonic band structure is found. These media have the property that the spatially fluctuating part of their complex electrical permittivity and magnetic permeability, when Fourier transformed, vanishes in half of the Fourier space. As a result the band structure is exactly the same as for a lossy homogeneous medium, at least when the frequency is not too high.

MSC:

78A48 Composite media; random media in optics and electromagnetic theory
35P05 General topics in linear spectral theory for PDEs
47A10 Spectrum, resolvent
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