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Opt Express. 2010 Jan 18;18(2):1151-8. doi: 10.1364/OE.18.001151.

Generalized phase matching condition for lossy periodic photonic structures.

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  • 1Department of Physics and Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI 48109-1040, USA.


The phase matching condition relating the real transverse wave vectors across a periodic boundary has been generalized to the case of complex transverse wave vectors. Based on this generalization, we describe diffraction of a complex Bloch wave propagating within a composite prism, and show that the resulting light in free space is an inhomogeneous plane wave in the presence of losses within the prism.

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