DocumentCode :
1218773
Title :
A novel approach to solving the nonlinear Schrodinger equation by the coupled amplitude-phase formulation
Author :
Du, Min ; Chan, Andrew K. ; Chui, Charles K.
Author_Institution :
Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA
Volume :
31
Issue :
1
fYear :
1995
fDate :
1/1/1995 12:00:00 AM
Firstpage :
177
Lastpage :
182
Abstract :
A novel approach for solving the nonlinear Schrodinger equation (NLSE) analytically is presented in this paper. Fundamental soliton solutions have been obtained for both anomalous dispersion regimes (β2<0) and normal dispersion regimes (β2 >0) without using inverse scattering or the Backlund transform. By considering the amplitude and the phase of the complex solution separately, a set of amplitude-phase coupled nonlinear equations is derived from the NLSE. The characteristic equation satisfied by the envelope amplitude is obtained for the fundamental soliton and soliton-modulated wave. The conditions to be satisfied by the phase propagation constant and soliton power give rise to useful criteria for the design of optical soliton communication systems. Numerical simulations agree well with theoretical results
Keywords :
Schrodinger equation; amplitude modulation; nonlinear equations; optical fibre communication; optical fibre dispersion; optical fibre theory; optical modulation; optical solitons; simulation; Backlund transform; NLSE; amplitude-phase coupled nonlinear equations; anomalous dispersion regimes; characteristic equation; complex solution; coupled amplitude-phase formulation; envelope amplitude; fundamental soliton; fundamental soliton solutions; inverse scattering; nonlinear Schrodinger equation; normal dispersion regimes; numerical simulations; optical soliton communication systems; phase propagation constant; soliton power; soliton-modulated wave; Communication systems; Couplings; Inverse problems; Nonlinear equations; Numerical simulation; Optical design; Optical solitons; Propagation constant; Schrodinger equation; Transforms;
fLanguage :
English
Journal_Title :
Quantum Electronics, IEEE Journal of
Publisher :
ieee
ISSN :
0018-9197
Type :
jour
DOI :
10.1109/3.341723
Filename :
341723
Link To Document :
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