Abstract

Using a Bragg grating to split a guided wave in channel waveguides has the potential for achieving compact integrated optical circuits. The analysis of the diffraction of such a grating must account for the strong refractive-index modulation that is required for the small size, the finite two-dimensional shape of the grating, and the fact that input and output beams are guided. The coupling coefficients of the transmitted and the diffracted beams will be analyzed as functions of grating dimensions, refractive-index-modulation strength, beam width, and incident angle by means of two-dimensional second-order coupled-mode theory combined with a numerical method suitable for guided-wave analysis.

© 1990 Optical Society of America