Pulse propagation in a nonlinear optical fiber of parabolic index profile by direct numerical solution of the Gel'fand-Levitan integral equations
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Frantzeskakis, DJ
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Fangos, PV
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Capsalis, CN
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The evolution of an optical pulse in a graded-index (parabolic profile) single-mode nonlinear optical fiber is treated by means of differential equation techniques. Using slowly varying envelope approximation and an averaging method over the transverse direction, a differential equation of the nonlinear Schrodinger type is obtained for the unknown envelope function of the electric field. The inverse scattering method is then applied, leading to the equivalent system of Gel'fand-Levitan-Marchenko coupled integral equations. A new iterative solution to these equations is presented.
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journalArticle
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Graded index profile
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Integral Equation
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Indexation
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Differential equations
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Gel'fan-Levitan-Marchenko coupled integral equations
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