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