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25 February 2010 Study of beam propagation in finite photonic crystals
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Many authors simply use band structure of infinite photonic crystals to predict the beam's direction in a finite structure. The validity of this approximation for high frequencies has been questioned by Felbacq (PRL 92, 193902) and instead a dressed (by evanescent waves) transfer matrix has been suggested. In this work, we show through numerical examples that the direction obtained by conventional band structure is more accurate than that of dressed transfer matrix of Felbacq et. al. We also demonstrate that this approximation can be improved by taking the effect of evanescent Bloch modes into consideration. The effect of these modes leads to a constant shift of beam's center inside and far enough from the PC's interface.
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Amin Khavasi, Khashayar Mehrany, Mehdi Miri, Ali Kazemi Jahromi, and Sina Khorasani "Study of beam propagation in finite photonic crystals", Proc. SPIE 7597, Physics and Simulation of Optoelectronic Devices XVIII, 759728 (25 February 2010);

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