Novel Numerical Technique to Investigate Nonlinear Guided Waves: Approximation ofNonlinear Schroedinger Equation by Nonperiodic Pseudospectral Methods

摘要

A new numerical technique for investigating light waves guided by planarnonlinear dielectric films is presented. The method implements a multidomain spectral type approximation based on orthogonal algebraic polynomials, and allows to deal with nonperiodic boundary conditions and discontinuities of the data, overcoming the known deficiencies of the trigonometric polynomials. Results of preliminary numerical experiments for the solution of the nonlinear Schroedinger equation are presented.