Upper hybrid wave pumped free electron laser

A large amplitude upper hybrid wave has potential to be employed as a wiggler for the generation of high frequency coherent radiation via free electron laser (EEL) instability. At a density fluctuation level of a few percent, due to the upper hybrid wave, the growth time of FEL instability, with electron beam current of a few kilo ampere, turns out to be of the order of a nanosecond. The growth rate of FEL instability depends sensitively on /spl omega//sub 1/ and this dependence comes through /spl nu//sub osc/ the beam oscillatory velocity. /spl nu//sub osc/ acquires large values at k/sub 0z//spl sime/[/spl omega//sub 0/-(/spl omega//sub e///spl gamma//sub 0//sup 0/)]/spl nu//sub b//spl sime//spl omega//sub c/[1-(1//spl gamma//sub 0//sup 0/)]/spl nu//sub b/. At this value of k/sub 0z/,/spl omega//spl sime/2/spl gamma//sub 0//sup 02//spl omega//sub c/[2-(1//spl gamma//sub 0//sup 0/)]. However, this scheme of FEL operation suffers from a severe limitation due to the parametric instability of the upper hybrid wave. The process of parametric decay into lower hybrid and upper hybrid waves may have growth rate comparable to that of the FEL instability.<
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