A note on optical parametric backward-wave instabilities
- 1 January 1970
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE
- Vol. 58 (1) , 164-165
- https://doi.org/10.1109/PROC.1970.7572
Abstract
The Fourier-Laplace integral representation for the field quantities involved in a backward-wave parametric instability is evaluated asymptotically by first performing the integration over ω and then performing a saddle-point asymptotic evaluation of the k integral on the appropriate sheet of ω(k), the dispersion relation for the parametric medium. The existence of time-growing solutions in an unbounded parametric medium is predicted, and the result shows spatial dependence related solely to the location of the saddle point in the k plane.Keywords
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