Fast photonic network modelling with new wavelet method

Author

Freude, Wolfgang ; Kremp, Tristan

Author_Institution

High-Frequency & Quantum Electron. Lab., Univ. of Karlsruhe, Germany

fYear

2002

fDate

2002

Firstpage

116

Lastpage

119

Abstract

Pulse propagation in a nonlinear optical medium is described by the nonlinear Schrodinger equation. For large wavelength division multiplexing systems, the simulation time can run into weeks. We developed a new, flexible, fast and adaptive split-step wavelet collocation method (SSWCM). Using a set of compactly supported basis functions with cardinal property, the SSWCM has the complexity O(N). This is superior to the complexity O(N log₂ N) of the standard split-step Fourier method, and provides a substantial speed-up for large N.

Keywords

Schrodinger equation; nonlinear optics; optical fibre networks; optical fibre theory; wavelength division multiplexing; wavelet transforms; adaptive split-step wavelet collocation method; cardinal property; compactly supported basis functions; fast photonic network modelling; large wavelength division multiplexing systems; nonlinear Schrodinger equation; nonlinear optical medium; simulation time; standard split-step Fourier method; wavelet method; Fiber nonlinear optics; Frequency; Nonlinear optics; Optical attenuators; Optical propagation; Optical pulses; Optical solitons; Optical waveguides; Schrodinger equation; Wavelength division multiplexing;

fLanguage

English

Publisher

ieee

Conference_Titel

4thLaser and Fiber-Optical Networks Modeling, 2002. Proceedings of LFNM 2002. International Workshop on

Print_ISBN

0-7803-7372-3

Type

conf

DOI

10.1109/LFNM.2002.1014128

Filename

1014128