Congruent reduction in parametrically unstable space‐ and time‐varying plasmas
作者:
G. Goldner,
L. Friedland,
期刊:
Physics of Fluids B: Plasma Physics
(AIP Available online 1989)
卷期:
Volume 1,
issue 8
页码: 1600-1604
ISSN:0899-8221
年代: 1989
DOI:10.1063/1.858938
出版商: AIP
数据来源: AIP
摘要:
A recently developed congruent reduction technique is applied to the parametric amplification problem in space‐ and time‐varying plasmas. The systematic reduction procedure yields a second‐order system of partial differential equations describing mode coupling in the presence of a strong pump wave. This system is similar in form to that characterizing the general multidimensional mode conversion problem so that the solution in both cases proceeds similarly. The method allows a consistent derivation of the expression for the parametric amplification coefficient in general geometry. An unmagnetized plasma case is considered as an example.
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