RESONANT OSCILLATIONS OF DIFFRACTION STRUCTURES WITH WEAK NONLINEARITY

Shortened equations for open diffraction structures with a weak nonlin earity have been obtained in the vicinity of a resonance. The paramete rs of the equivalent pendulum are generally expressed in terms of eige nfrequences and eigenfunctions of an open resonant structure. As an ex ample, a grating with nonlinear bodies has been considered. Bistabilit y in the vicinity of Woods' anomalies has been studied, and the stabil ity of various branches of the solutions has been analyzed. (C) 1998 J ohn Wiley & Sons, Inc.