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VOLUME 59 (1994) | ISSUE 6 | PAGE 389
Use of a regularization of infinite determinants to study parametric instabilities
A new method is proposed for studying parametric instabilities in a homogeneous magnetized plasma. This method makes it possible to reduce the problem of finding all the natural modes to one of finding the roots of a polynomial, without invoking small parameters. The instability growth rate is derived explicitly for the two-wave interaction. The use of this method is demonstrated through a determination of the growth rate for the modulational instability of a lower hybrid wave.