论文信息 - Finite-bandwidth effects on the parametric instability in an inhomogeneous plasma

Finite-bandwidth effects on the parametric instability in an inhomogeneous plasma

The effect of a finite-bandwith pump on the parametric instability is considered. First, the temporal problem with unequal damping rates is considered, with bandwidth modelled by a Kubo-Anderson process. Exact results are obtained for both the amplitudes and power in each decay mode, with an interesting asymmetry found. Next, the spatial problem with unequal group velocities is investigated for the cases of 1) finite homogeneous interaction region, and 2) linear density profile. Thresholds and growthrates are found including both the inhomogeneity and bandwidth effects. When values typical of laser fusion parameters are inserted, it is found that bandwidth may be an important method of stabilizing Raman and Brillouin scattering.

J. J. Thomson

[1] W. Kruer,et al. Instability-generated laser reflection in plasmas , 1973 .

[2] R. C. Bourret,et al. Stochastically perturbed fields, with applications to wave propagation in random media , 1962 .

[3] M. Sandler. BRIEF COMMUNICATIONS: Nonlinear optical effects in a pumping field with a diffusing phase , 1973 .

[4] R. L. Stratonovich,et al. Topics in the theory of random noise , 1967 .

[5] E. Valeo,et al. Model of Parametric Excitation by an Imperfect Pump , 1973 .

[6] U. Frisch,et al. Solving linear stochastic differential equations , 1974 .

[7] K. Nishikawa,et al. Parametric Excitation of Coupled Waves I. General Formulation , 1968 .

[8] M. Goldman,et al. Radiation-Induced Instability of Electron Plasma Oscillations , 1965 .

[9] Chihiro Yamanaka,et al. Brillouin backscattering and parametric double resonance in laser-produced plasma , 1974 .

[10] S. Tamor. Effect of partial coherence on laser-driven plasma instabilities , 1973 .

[11] M. Rosenbluth. Parametric Instabilities in Inhomogeneous Media , 1972 .