Abstract

We derive coupled equations for ideal modes of an optical waveguide using the Green′s function technique. Our results, in particular those for the interaction between TM polarized modes in a grating structure, are consistent with experiments and with the results of other methods used to analyze optical waveguides. Because the method is based on the modes of the ideal waveguide it is versatile, and can, for example, easily deal with problems in which the perturbed waveguide contains an additional index of refraction. A further attractive feature is that finite beam effects are included in a natural way.

© 1989 Optical Society of America