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Asymptotic treatment of the three-wave nonlinear parametric interaction

  • V. FUCHS (a1)

Abstract

A novel integral representation suitable for the study of asymptotic ($L/L_{0}\,{\gg}\,1$, $L$ being the plasma length and $L_{0}$ the basic gain length) stability of the inhomogeneous three-wave interaction is formulated and applied to the special case of uniform gain and ramp wavenumber mismatch. The absolute instability condition is $\kappa L_{0} \,{<}\, \pi /8$ ($\kappa$ being the mismatch gradient), with the wave conversion performed in a zone of width $4/\kappa L_{0}$ located at the boundary of wave incidence.

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Asymptotic treatment of the three-wave nonlinear parametric interaction

  • V. FUCHS (a1)

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