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A new approach to the analysis of the soliton: Nonuniform finite difference beam propagation method
Author(s) -
Liu ShuhFang,
Wei PeiKuen,
Wang WaySeen
Publication year - 1992
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.4650050613
Subject(s) - beam propagation method , discretization , finite difference , beam (structure) , finite difference method , soliton , nonlinear system , physics , finite difference coefficient , mathematical analysis , finite difference time domain method , mathematics , optics , computational physics , finite element method , quantum mechanics , refractive index , mixed finite element method , thermodynamics
A finite difference beam propagation method with nonuniform discretization is presented and validated for the analysis of solitary waves. We verify the accuracy of our nonuniform finite difference beam propagation method by demonstrating the evolution of the well‐known N soliton in nonlinear dispersive medium with and without higher‐order perturbed terms. Comparisons with the standard beam propagation method for calculation of both bright and dark solitons are also given and show that the nonuniform finite difference method is good for saving computing time, while maintaining the desired accuracy.