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Using the shooting method to solve boundary-value problems involving nonlinear coupled-wave equations

Part 1 Degenerate two-wave mixing

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Abstract

Using the shooting method, one of the numerical methods to solve two-point boundary-value problems, numerical solutions of the nonlinear coupled-wave equations in degenerate two-wave and four-wave mixing can be obtained. In this first part of the paper the general shooting method is described, and then applied to two-wave mixing in a reflection geometry. Computed results are presented in graphical form. Comparison between the shooting method and the direct numerical method [1] is made also. In the second part of the paper, numerical solutions for four-wave mixing in a reflection geometry will be given.

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Authors and Affiliations

  1. Research Laboratories, Telecom Australia, Box 249, 3168, Clayton North, Australia

    Y. H. Ja

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Ja, Y.H. Using the shooting method to solve boundary-value problems involving nonlinear coupled-wave equations. Opt Quant Electron 15, 529–538 (1983). https://doi.org/10.1007/BF00620021

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