Using the transfer matrix method as well as numerical solutions to the one-dimensional wave equation derived from the Maxwell equations, we study the transition from a photonic crystal with a finite size to a random dielectric medium. We examine the validity of the Kronig-Penney model for a finite size crystal and analyze the spatial structure of the eigenmodes as the crystal is made more irregular.
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Matsuoka et al. (2005) studied this question.
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