Publication detail
Analysis of coupled equation scheme for modelling of nonlinear pulse propagation in coupled microring resonators
STERKHOVA, A. LUKSCH, J. PETRÁČEK, J.
Czech title
Analýza schématu založeného na vázaných rovnicích pro modelování šíření nelineárních pulzů ve vázaných prstencových rezonátorech
English title
Analysis of coupled equation scheme for modelling of nonlinear pulse propagation in coupled microring resonators
Type
conference paper
Language
en
Original 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.
Czech abstract
Je prezentována jednoduchá numerická technika založená na konečných diferencích pro řešení nelineárních vázaných rovnic, které popisují šíření optických pulzů v nelineárních vlnovodných strukturách. Předpokládá se aproximace pomalu proměnné obálky. Byly simulovány příklady kerrovských nelineárnárních struktur: nelineární směrový vazební člen a optický vyčleňovací filtr sestávájící se s mikroprstencových rezonátorů.
English 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.
Keywords in English
coupled mode theory, integrated optics, nonlinear optics, numerical modelling, ring resonator, bistability, self-pulsing
RIV year
2010
Released
14.12.2010
Publisher
SPIE
Location
Bellingham
ISBN
978-0-8194-8236-5
Book
17th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, Proceedings of SPIE Vol. 7746
Pages from–to
77460Y-1–77460Y-8
Pages count
8
BIBTEX
@inproceedings{BUT36847,
author="Anna {Sterkhova} and Jaroslav {Luksch} and Jiří {Petráček},
title="Analysis of coupled equation scheme for modelling of nonlinear pulse propagation in coupled microring resonators",
booktitle="17th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, Proceedings of SPIE Vol. 7746",
year="2010",
month="December",
pages="77460Y-1--77460Y-8",
publisher="SPIE",
address="Bellingham",
isbn="978-0-8194-8236-5"
}