MODELING PROPAGATION IN OPTICAL FIBERS USING WAVELETS

A new model for the linear and nonlinear propagation of arbitrary opti cal waveforms through monomode fiber is presented. The basis of the me thod is the representation of the in-phase and quadrature components o f the propagating electric field by their wavelet transform coefficien ts. For certain wavelet functions, a closed-form solution of the dispe rsive wave equation can be obtained, thereby allowing an analytic desc ription of the propagating waveform in linear fiber. Nonlinear propaga tion is modeled using a split-step wavelet method that proceeds in a m anner analogous to the split-step Fourier method. Arbitrarily shaped p ulses or pulse sequences, with or without frequency chirping of the so urce, are accommodated with ease. A particular feature of the method i s its inherent ability to provide time-resolved power spectra of the p ropagating waveforms.