Non-linear wave interaction in a magnetoplasma column 1. Theory

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Abstract
Non-linear three-wave interaction is analysed for propagation along a cylindrical plasma column surrounded either by a metallic boundary, or by an infinite dielectric, and immersed in an infinite, static, axial magnetic field. An averaged-Lagrangian method is used and the results are specialized to parametric amplification and mode conversion, assuming an undepleted pump wave. The theory for these two types of interactions is extended to include imperfect synchronism and the effects of loss. Computations arc presented for a magneto-plasma column surrounded by free space, indicating that parametric growth rates of the order of a fraction of a decibel per centimetre should be obtainable for plausible laboratory plasma parameters.

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