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

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

Paper in proceedings (conference paper)

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.

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.

coupled mode theory, integrated optics, nonlinear optics, numerical modelling, ring resonator, bistability, self-pulsing

coupled mode theory, integrated optics, nonlinear optics, numerical modelling, ring resonator, bistability, self-pulsing

STERKHOVA, A.; LUKSCH, J.; PETRÁČEK, J.

2011

14.12.2010

SPIE

Bellingham

978-0-8194-8236-5

17th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, Proceedings of SPIE Vol. 7746

77460Y-1

77460Y-8

8