VARIATIONAL AND FINITE-ELEMENT ANALYSES OF NONLINEAR STRIP OPTICAL WAVE-GUIDES

A new, iterative finite element scheme for solving nonlinear wave guiding problems is proposed. Unlike previous numerical methods, this approach gives both the stable and unstable stationary solutions of a nonlinear strip waveguide. We use a double gaussian trial function to solve the same problem by variational principles. This approximation gives very good results and provides a simple model to characterize nonlinear stationary waves. The influence of waveguide parameter on nonlinear behaviour is discussed. We also apply both the variational and finite methods to analyze the stripe surface waves at a linear-nonlinear interface.