Abstract

The co-existence of the Raman and Brillouin backscattering instability is an important issue for inertial confinement fusion. The present paper presents extensive one-dimensional (1D) particle-in-cell (PIC) simulations for a wide range of parameters extending and complementing previous findings. PIC simulations show that the scenario of reflectivity evolution and saturation is very sensitive to the temperatures, intensities, size of plasma and boundary conditions employed. The Langmuir decay instability is observed for rather small $k_{epw}{\it\lambda}_{D}$ but has no influence on the saturation of Brillouin backscattering, although there is a clear correlation of Langmuir decay instability modes and ion-fractional decay for certain parameter ranges. Raman backscattering appears at any intensity and temperature but is only a transient phenomenon. In several configurations forward as well as backward Raman scattering is observed. For the intensities considered, $I{\it\lambda}_{o}^{2}$ above $10^{15}~\text{W}~{\rm\mu}\text{m}^{2}/\text{cm}^{2}$ , Raman is always of bursty nature. A particular setup allows the simulation of multi-speckle aspects in which case it is found that Raman is self-limiting due to strong modifications of the distribution function. Kinetic effects are of prime importance for Raman backscattering at high temperatures. No unique scenario for the saturation of Raman scattering or Raman–Brillouin competition does exist. The main effect in the considered parameter range is pump depletion because of large Brillouin backscattering. However, in the low $k_{epw}{\it\lambda}_{D}$ regime the presence of ion-acoustic waves due to the Langmuir decay instability from the Raman created electron plasma waves can seed the ion-fractional decay and affect the Brillouin saturation.

Highlights

  • A major task of the laser–plasma interaction (LPI) community is to develop predictive means for the envisaged inertial confinement fusion (ICF) experiments such as National Ignition Facility (NIF)[1,2,3], Laser MegaJoule (LMJ)[4] and ShengGuang (SG)[5]

  • The main effect of considering a two-dimensional (2D) configuration instead of a one-dimensional (1D) one for the parameters considered in this paper is to introduce side losses, as illustrated by various authors[53,54,55,56,57]

  • If the forward travelling hot electrons are removed from the system by assuming open boundary conditions on the right hand side, the Raman bursts continue at regular intervals

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Summary

Introduction

A major task of the laser–plasma interaction (LPI) community is to develop predictive means for the envisaged inertial confinement fusion (ICF) experiments such as National Ignition Facility (NIF)[1,2,3], Laser MegaJoule (LMJ)[4] and ShengGuang (SG)[5]. The issue of the nonlinear interaction between SBS and SRS is far from being understood in its details It has been studied before using either reduced models[6,7,8,9,10] or by PIC simulations using small plasma and unrealistic mass ratios[11]. In the case of indirectdrive hohlraum plasmas one encounters large-scale, more or less homogeneous, low densities (typically of the order of ∼0.1nc) with small temperature variations.

Raman and Brillouin
General aspects
The Langmuir decay instability
Boundary conditions and their possible physical interpretation
Time evolution of the reflectivities
Time evolution of the distribution functions
High kepwλD-regime
Limitations of PIC-simulations at very high electron temperature
Moderate kepwλD-regime
Low kepwλD-regime
High-intensity simulations
Findings
10. Conclusions and outlook
Full Text
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