Abstract
The conditions under which an incident, x - z polarized strong pump electro-magnetic wave propagating in the z -direction is self-trapped as an equilibrium filament in an initially uniform plasma are found for a Gaussian pump profile as exp [-( x - x m ) 2 /2 d 2 x ]. Coupled equations describing the parametric coupling of two electron Langmuir waves due to the spatially aperiodic inhomogeneity of the self-trapped pump filament amplitude are then derived. Moreover, an analysis of the eigenvalue problem arising from these equations demonstrates a possibility that decay Langmuir waves can be trapped as temporally growing waves in a density cavity created by the inhomogeneous pump when the pump amplitude exceeds the threshold rather less than that for the decay instability of Jackson-type.
Published Version
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