Abstract

A four-wave theory of phase gratings electrooptically induced in dielectric waveguides is analyzed and solutions to the coupled-wave equation are derived for incidence at the first Bragg angle. These solutions are compared with the solutions for the two-wave theory of Kogelnik, and expansions for the differences are obtained in reciprocal powers of the Nath parameter ρ. The leading terms in the expansion can be used to estimate the errors committed in designs using the simpler two-wave theory.

© 1989 Optical Society of America

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