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Stimulated Raman scattering with strong damping: A simple theory of the spike phenomenon

J.-G. Caputo1,2,* and A. Maimistov3,†

  • 1Laboratoire de Mathématiques, INSA de Rouen, Boîte Postal. 8, 76131 Mont-Saint-Aignan cedex, France
  • 2Laboratoire de Physique théorique et modelisation, Université de Cergy-Pontoise and C.N.R.S., 95031 Cergy-Pontoise Cedex, France
  • 3Department of Solid State Physics, Moscow Engineering Physics Institute, Kashirskoe sh. 31, Moscow 115409, Russia

  • *Electronic address: caputo@insa-rouen.fr
  • †Electronic address: maimistov@pico.mephi.ru
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Phys. Rev. E 71, 036601 – Published 8 March, 2005

DOI: https://doi.org/10.1103/PhysRevE.71.036601

Abstract

The classical stimulated Raman scattering system describing the resonant interaction between two electromagnetic waves and a fast relaxing medium wave is studied by introducing a systematic perturbation approach in powers of the relaxation time. We separate amplitude and phase effects for these complex fields. The analysis of the former shows the existence of a stagnation distance after which monotonic energy transfer begins from one electromagnetic wave to the other, and this quantity is calculated. Concerning phase effects we give the conditions for the formation of a Raman spike from an initial fast and large phase jump in one of the waves. The spike evolution and width estimated from the reduced model agree with the results from numerical simulations of the original system.

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Phys. Rev. E 71, 036601– Published 8 March, 2005
  • Received 23 September 2004

© 2005 American Physical Society

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