Abstract

Pulse propagation in a nonlinear optical medium is described by the nonlinear Schrodinger equation (NLSE). For large wavelength division multiplexing (WDM) systems, the simulation time can run into weeks. We developed a new, flexible, fast and adaptive split-step wavelet collocation method (SSWCM) which provides a substantial speed-up compared to the standard split-step Fourier method (SSFM). Using a set of compactly supported basis functions with cardinal property, the SSWCM has the complexity C(N). This is superior to the complexity C(Nlog₂N) of the SSFM

© 2002 Optical Society of America