Improved variable transformed Fourier method to analyze nonlinear dielectric waveguides

Juan Gonzalo Wanguemert Perez; I. Molina-Fernandez

doi:10.1117/12.328766

4 December 1998 Improved variable-transformed Fourier method to analyze nonlinear dielectric waveguides

Juan Gonzalo Wanguemert Perez, I. Molina-Fernandez

Proceedings Volume 3491, 1998 International Conference on Applications of Photonic Technology III: Closing the Gap between Theory, Development, and Applications; (1998) https://doi.org/10.1117/12.328766
Event: 1998 International Conference on Applications of Photonic Technology, 1998, Ottawa, Canada

Abstract

An improved variable transformed Fourier decomposition method to analyze nonlinear dielectric waveguides is presented in which, to increase the efficiency for nonsymmetrical and nonlinear situations, a new degree of freedom (the offset) is allowed in the tangent type variable transformation. Soundness of the method is provided by means of a new self-consistent algorithm to automatically find the numerical parameters of the variable transformation which allows blind detection of quasi-optimum values. This algorithm lies upon the fact that the optimum numerical parameters are those which minimize the variance of the spectrum of the functions to be approximated. The proposed method has been tested in a linear and nonlinear (Kerr type) graded-index waveguide of exponential profile for a great variety of situations showing excellent results.

Citation Download Citation

Juan Gonzalo Wanguemert Perez and I. Molina-Fernandez "Improved variable-transformed Fourier method to analyze nonlinear dielectric waveguides", Proc. SPIE 3491, 1998 International Conference on Applications of Photonic Technology III: Closing the Gap between Theory, Development, and Applications, (4 December 1998); https://doi.org/10.1117/12.328766

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