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Nonlinear amplification of coherent waves in media with soliton-type refractive index pattern

S. Bugaychuk1,* and R. Conte2,†

  • 1Institute of Physics, National Academy of Sciences, 46 Prospect Nauki, Kiev 03028, Ukraine,
  • 2LRC MESO, École normale supérieure de Cachan (CMLA) et CEA–DAM 61, avenue du Président Wilson, F-94235 Cachan Cedex, France and Service de physique de l’état condensé (CNRS URA 2464), CEA-Saclay, F-91191 Gif-sur-Yvette Cedex, France

  • *bugaich@iop.kiev.ua
  • †robert.conte@cea.fr
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Phys. Rev. E 86, 026603 – Published 7 August, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.026603

Abstract

We derive the complex Ginzburg-Landau equation for the dynamical self-diffraction of optical waves in a nonlinear cavity. The case of the reflection geometry of wave interaction as well as a medium that possesses the cubic nonlinearity (including a local and a nonlocal nonlinear responses) and the relaxation is considered. A stable localized spatial structure in the form of a “dark” dissipative soliton is formed in the cavity in the steady state. The envelope of the intensity pattern, as well as of the dynamical grating amplitude, takes the shape of a tanh function. The obtained complex Ginzburg-Landau equation describes the dynamics of this envelope; at the same time, the evolution of this spatial structure changes the parameters of the output waves. New effects are predicted in this system due to the transformation of the dissipative soliton which takes place during the interaction of a pulse with a continuous wave, such as retention of the pulse shape during the transmission of impulses in a long nonlinear cavity, and giant amplification of a seed pulse, which takes energy due to redistribution of the pump continuous energy into the signal.

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Phys. Rev. E 86, 026603– Published 7 August, 2012
  • Received 27 January 2012

©2012 American Physical Society

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