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Finite element method to solve the nonlinear coupled-wave equations for degenerate two-wave and four-wave mixing

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Abstract

The 1-D finite element method (FEM) which employs first-order finite elements has been used to solve the nonlinear coupled-wave equations for degenerate two-wave mixing (DTWM) and four-wave mixing in a reflection geometry. Numerical results have been obtained from computer calculations and presented in graphical form. A brief comparison between the FEM and the direct method (for DTWM only), the shooting method and the finite difference method [the O(h7) method], is made.

© 1986 Optical Society of America

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