Abstract

We develop a self-consistent Green’s function technique to calculate the full photonic band structure for guided modes in slab waveguides that have been textured in one dimension with a thin surface grating. The technique is conceptually simple and can easily be reduced to an eigenvalue problem by use of approximations similar to those used in conventional coupled-mode theories. We show that this approach yields the correct TM–TM coupling coefficient at oblique incidence and provides a transparent interpretation for its vanishing at a critical angle.

© 1998 Optical Society of America

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