Abstract
Four coupled-mode equations describing the characteristics of the second-order Bragg interaction are derived for the transverse electric mode of a dielectric film waveguide with periodic corrugations on both the film-cover and the film-substrate interfaces. The characteristics of the frequency-selective filter, output coupler, input coupler, and distributed feedback laser are obtained. Proper choice of the design parameters leads to a frequency-selective filter radiating neither in the cover nor in the substrate, a highly efficient output coupler radiating only in the cover, and an efficient input coupler exciting a guided wave only in one direction. Similarly, in the distributed feedback laser, a suitable choice of the parameters of the two gratings provides a mechanism for controlling the oscillation characteristics of the laser. The attractive feature of the double-grating design is that the characteristics of the thin-film devices are not very sensitive to small deviations of the grating parameters from their designed values.
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