On Spectral Bounds for Photonic Crystal Waveguides
For a (d + 1)-dimensional photonic crystal with a linear defect strip (waveguide), we calculate real intervals containing spectrum of the associated spectral problem. If such an interval falls completely into a spectral gap of the unperturbed problem (without defect), this will prove the existence of additional spectrum induced by the waveguide.
KeywordsSpectral Problem Real Interval Spectral Point Plate Problem Photonic Crystal Waveguide
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