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 TMTM coupling coefficient at oblique incidence and provides a transparent interpretation for its vanishing at a critical angle.
© 1998 Optical Society of America
(140.3490) Lasers and laser optics : Lasers, distributed-feedback
(230.7390) Optical devices : Waveguides, planar
(310.2790) Thin films : Guided waves
(350.2770) Other areas of optics : Gratings
P. Paddon and Jeff F. Young, "Simple approach to coupling in textured planar waveguides," Opt. Lett. 23, 1529-1531 (1998)