Absolute parametric instabilities in inhomogeneous plasmas

White, R. ; Kaw, P. ; Pesme, D. ; Rosenbluth, M. N. ; Laval, G. ; Huff, R. ; Varma, R. (1974) Absolute parametric instabilities in inhomogeneous plasmas Nuclear Fusion, 14 (1). p. 45. ISSN 0029-5515

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Official URL: http://iopscience.iop.org/0029-5515/14/1/007

Related URL: http://dx.doi.org/10.1088/0029-5515/14/1/007

Abstract

The excitation of absolute instabilities in three-wave parametric couplin g processes in inhomogeneous plasmas has been studied analytically . A detailed examination of the full fourth-order set of differential equations describing such processes in infinite media confirms the WKB-criterion that absolute instabilities arise only if d(Σiki)/dx=0. A model calculation using the WKB-approximation has also been carried out to study the effects of finite plasma extent and pump depletion; conditions for the excitation of absolute instabilities in this case have also been obtained.

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