Abstract
Stimulated scattering of an electromagnetic wave from electron density fluctuations induced by acoustic and Langmuir waves plays an important role in laser generated plasmas for understanding its dynamics in detail, fast electron generation and plasma heating, as well as in laser plasma applications. We show that these so-called parametric effects or instabilities, like stimulated Brillouin and Raman scattering, are all resonantly driven by light or wave pressure. In the system co-moving with the electron density disturbance the incident pump wave is partially reflected from the inhomogeneities of the refractive index and causes a standing amplitude modulation by superposition of the reflected wave with the pump wave. We show that the phase of the reflected wave with respect to the density modulation is such that the ponderomotive force resulting from the amplitude modulation amplifies the latter which, in turn, leads to increased reflection and finally, by ponderomotive feedback, to exponential growth of the electron density fluctuation and to stimulated scattering of the pump wave. Since in first approximation the longitudinal electric wave obeys a wave equation of the same structure as the transverse electromagnetic wave, and the same is true for the ponderomotive force, both types of waves are subject, damping rates permitting, to the same parametric instabilities. For the physical insight into the dynamics of unstable growth transformation to the reference system co-moving with the refractive index modulation is advantageous because there the modulation is static and the ponderomotive force is secular; for the explicit calculation of growth rates however, the lab frame is generally more appropriate.
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Mulser, P., Bauer, D. (2010). Resonant Ponderomotive Effects. In: High Power Laser-Matter Interaction. Springer Tracts in Modern Physics, vol 238. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-46065-7_6
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