White-Light Parametric Instabilities in Plasmas

J. E. Santos, L. O. Silva, and R. Bingham
Phys. Rev. Lett. 98, 235001 – Published 6 June 2007

Abstract

Parametric instabilities driven by partially coherent radiation in plasmas are described by a generalized statistical Wigner-Moyal set of equations, formally equivalent to the full wave equation, coupled to the plasma fluid equations. A generalized dispersion relation for stimulated Raman scattering driven by a partially coherent pump field is derived, revealing a growth rate dependence, with the coherence width σ of the radiation field, scaling with 1/σ for backscattering (three-wave process), and with 1/σ1/2 for direct forward scattering (four-wave process). Our results demonstrate the possibility to control the growth rates of these instabilities by properly using broadband pump radiation fields.

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  • Received 19 January 2007

DOI:https://doi.org/10.1103/PhysRevLett.98.235001

©2007 American Physical Society

Authors & Affiliations

J. E. Santos1,*, L. O. Silva1,†, and R. Bingham2,3

  • 1GoLP/Centro de Física dos Plasmas, Instituto Superior Técnico, 1049-001 Lisboa, Portugal
  • 2Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 0QX, United Kingdom
  • 3Department of Physics, SUPA, Strathclyde University, John Anderson Building, Glasgow G4 0NG, United Kingdom

  • *Present address: Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
  • Electronic address: luis.silva@ist.utl.pt

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Issue

Vol. 98, Iss. 23 — 8 June 2007

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