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Proceedings Paper

Analysis of nonlinear pulse propagation using an advanced wavelet transform
Author(s): Mark A. Stedham; Partha P. Banerjee
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Paper Abstract

Problems associated with nonlinear pulse and beam propagation, especially those involving higher-order terms in the nonlinear Schroedinger equation, usually require robust numerical techniques for their solution. In this paper we utilize an adaptive wavelet transform in order to investigate optical pulse self-steepening and optical beam self-focusing, as well as higher-order nonlinear terms which cannot be approximated by higher-order derivatives. Additionally, we show that the numerical method developed herein can be used to approximate any order of nonlinearity in the self-phase modulation term. The adaptive capability of the discrete wavelet transform developed herein allows this technique to accurately track the steep pulse gradients associated with higher-order terms by adaptively switching to higher, more accurate wavelet levels. By utilizing this adaptive wavelet transform technique, one can perform analysis of any terms in the NLS equation entirely in the wavelet domain without the need for resorting to a split-step method, as is often the case.

Paper Details

Date Published: 27 November 2002
PDF: 10 pages
Proc. SPIE 4789, Algorithms and Systems for Optical Information Processing VI, (27 November 2002); doi: 10.1117/12.450919
Show Author Affiliations
Mark A. Stedham, Defense Intelligence Agency (United States)
Partha P. Banerjee, Univ. of Dayton (United States)


Published in SPIE Proceedings Vol. 4789:
Algorithms and Systems for Optical Information Processing VI
Bahram Javidi; Demetri Psaltis, Editor(s)

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