Abstract

The characteristics of the second-order reflection grating are investigated for the transverse electric mode with particular reference to such applications as frequency-selective filter and the output, input, and conjugate couplers. Three canonical equations that are valid for a distributed coupler with two guided waves, an incident wave, and a radiated wave are derived systematically. General relations among the coupling coefficients are deduced, and these lead to the principle of power conservation and reciprocity. The analyses of the devices, based on the solution of the canonical equations, lead to the determination of the various design parameters, such as the optimum operating frequencies and the optimum grating length. The reflection grating with the corrugation on the film-cover interface is compared with the grating having the corrugation on the conducting surface. An illustrative numerical example is included.

© 1986 Optical Society of America

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