Nonlinear theory of stimulated backscattering in a bounded dissipative plasma
Journal Article
·
· Phys. Fluids; (United States)
The anomalous reflectivity, k/sup 2/, of a bounded plasma, dissipative for the excited electrostatic wave, is investigated. Quantitatively, the phenomenon is controlled by three characteristic lenghts: L, the length of the plasma, L/sub a/, the longitudinal absorption length, and L/sub 0/, the basic gain length. When the parametric decay instability is convective, L/sub 0//L/sub a/equivalent..beta..> or =2, Tang's approximation is shown to apply. With ..cap alpha../sup 2/=2LL/sub a//L/sub 0//sup 2/, and epsilon/sup 2/= (radiation noise/incident signal), it is found that when GAMMA=epsilon/sup 2/ exp(..cap alpha../sup 2/) approximately-less-than0.1, k/sup 2/ is negligible. When GAMMAapproximately-greater-than0.1, then k/sup 2/approx. =1-..cap alpha../sup -2/ ln(1/4epsilon/sup 2/). In the regime of absolute instability, ..beta..<2, with zero noise, it is found that the reflectivity in implicit form is kappaL/L/sub 0/=F (..pi../2, k)+(1/2) F (tan/sup -1/ A, k). F is the elliptic integral of the first kind, kappa/sup 2/=1-..beta../sup 2//4 k/sub c//sup 2/, k/sub c//sup 2/=1-k/sup 2/, A=2B/k/sub c/(1-B/sup 2/), B=..beta../2k/sub c/kappa. As a function of L/L/sub 0/, the reflectivity saturates at 1-..beta../sup 2//4. (AIP)
- Research Organization:
- Direction Sciences de base, Institut de recherche de l'Hydro-Quebec, Varennes, Quebec, Canada, JOL 2PO
- OSTI ID:
- 7261177
- Journal Information:
- Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 19:10; ISSN PFLDA
- Country of Publication:
- United States
- Language:
- English
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