Abstract

In a recent investigation, cw transmission through a linear nondispersive/nonlinear dispersive interface was studied using the nonlinear Klein-Gordon equation to model the latter medium. It was found that transmission in the nonlinear dispersive region is determined not only by the linear cutoff frequency but also by the transmitted wave amplitudes. The effective propagation constant and the transmission coefficient were evaluated; propagation and nonpropagation mode solutions were obtained, and their stabilities were studied. In this work, we generalize the cw case to include the effects of discrete and a continuum of sidebands around the carrier. The cubic nonlinearity is responsible for the coupling between the ' upper and the lower sidebands. The transmission coefficient and propagation constant are calculated as a function of the sideband and carrier frequencies and their amplitudes. Propagation and nonpropagation modes are also classified.

© 1988 Optical Society of America