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
Equations on this page are rendered with MathJax. Learn more.