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Cubic quintic Ginzburg Landau equation as a model for resonant interaction of EM field with nonlinear media

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posted on 2022-11-22, 21:14 authored by Branislav N. Aleksić, Liudmila A. Uvarova, Najdan B. Aleksić, Milivoj R. Belić

In this work, we investigate the possibility of approximating saturable nonlinearity, which is commonly used in complex Ginzburg–Landau equation (CGLE) for modelling resonant interaction of an electromagnetic field with nonlinear media, with cubic-quintic (CQ) nonlinearity. To validate the suggested approximations, we use variational method to estimate 2D analytical solutions of the CGLE with both saturable and CQ nonlinearity. The paper compares three ways to determine parameters of the CQ approximation and discusses the obtained results in terms of accuracy.

Other Information

Published in: Optical and Quantum Electronics
License: https://creativecommons.org/licenses/by/4.0
See article on publisher's website: http://dx.doi.org/10.1007/s11082-020-02271-2

Funding

Open access funding provided by the Qatar National Library.

Qatar National Research Fund (NPRP11S-1126-170033), Self-organized optical structures in semiconductor heterojunctions, nanocomposites, metamaterials, photovoltaics, and plasmonics, for applications in energy and information technologies.

History

Language

  • English

Publisher

Springer Nature

Publication Year

  • 2020

License statement

This Item is licensed under the Creative Commons Attribution 4.0 International License.

Institution affiliated with

  • Weill Cornell Medicine - Qatar
  • Texas A&M University at Qatar

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