Analysis of coupled equation scheme for modelling of nonlinear pulse propagation in coupled microring resonators

Anna Sterkhova; Jaroslav Luksch; Jiří Petráček

doi:10.1117/12.881935

14 December 2010 Analysis of coupled equation scheme for modelling of nonlinear pulse propagation in coupled microring resonators

Anna Sterkhova, Jaroslav Luksch, Jiří Petráček

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Proceedings Volume 7746, 17th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics; 77460Y (2010) https://doi.org/10.1117/12.881935
Event: 17th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 2010, Liptovsky Jan, Slovakia

Abstract

We present a simple finite-difference scheme for solution of nonlinear coupled evolution equations that describe propagation of optical pulses under the slowly-varying envelope approximation. The scheme is based on upwind differencing and enables inclusion of various nonlinear effects. For the analysis we use examples of Kerr-nonlinear structures: waveguide directional coupler and channel dropping filter consisting of coupled microring resonators. Generalization to the more complex systems is straightforward. We study accuracy and stability of the scheme, demonstrate typical features, and comparison with other techniques.

Citation Download Citation

Anna Sterkhova, Jaroslav Luksch, and Jiří Petráček "Analysis of coupled equation scheme for modelling of nonlinear pulse propagation in coupled microring resonators", Proc. SPIE 7746, 17th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 77460Y (14 December 2010); https://doi.org/10.1117/12.881935

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