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An Adaptive Method for Photonic Crystals – 2006, Numerical Analysis Seminar, Bath 

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In this talk we shall discuss the calculation of the spectra of periodic media arising in models of photonic crystal fibers (PCFs). We give numerical illustrations of how the adaptivity copes with internal interfaces and with high contrast media. We are particularly interested in the localization of spectral gaps of the media using our error estimates in an adaptive procedure.