Abstract
1 Introduction
Laser plasma interactions (LPIs) are widely associated with many applications such as inertial confinement fusion (ICF)[
As well known, SRS usually develops in plasma density not larger than the quarter critical density
2 Theoretical analysis of SRS in the non-eigenmode regime
Generally, SRS is a three-wave instability where a laser decays into an electrostatic wave, with frequency equal to the eigen electron plasma wave, and a light wave. However, the stimulated electrostatic wave is no longer the eigenmode of the electron plasma wave in the SRS non-eigenmode regime, where both the frequencies of scattered light and electrostatic field are nearly half of the incident laser frequency. The mechanism of this instability can be described by the SRS dispersion relation at plasma density
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To investigate the non-eigenmode SRS mechanism in LPI, we first introduce the non-relativistic dispersion relation of SRS in cold plasma[
Now we analytically solve Equation (
Substituting
For the density region just near the quarter critical density
In the following, we consider the relativistic modification of the SRS non-eigenmode in hot plasma. The dispersion of SRS under the relativistic intensity laser is[
Following the similar steps of the non-relativistic case, the imaginary part of Equation (
The comparisons between the numerical solutions of Equations (
Phase-matching conditions are satisfied in the SRS non-eigenmode regime, and therefore the frequency of concomitant light is also
According to the linear parametric model of inhomogeneous plasma, the Rosenbluth gain saturation coefficient for convective instability is
In conclusion, different from normal SRS, a new type of non-eigenmode SRS can develop in plasma with density
3 Simulations for non-eigenmode SRS excitation
3.1 One-dimensional simulations for non-eigenmode SRS in homogeneous plasma
To validate the analytical predictions for non-eigenmode SRS, we have performed several one-dimensional simulations by using the
Based on Equation (
3.2 Two-dimensional simulations for non-eigenmode SRS in homogeneous plasma
To further validate the linear development and nonlinear evolution of non-eigenmode SRS in high-dimensionality with mobile ions, we have performed several two-dimensional simulations. The plasma occupies a longitudinal region from
According to Equation (
The laser with peak amplitude
3.3 One-dimensional simulations for non-eigenmode SRS in inhomogeneous plasma
To study the non-eigenmode SRS in hot inhomogeneous plasma, we have performed a simulation for the inhomogeneous plasma
The spatial–temporal evolution of the electrostatic wave is exhibited in Figure
4 Summary
In summary, we have shown theoretically and numerically that the non-eigenmode SRS develops at plasma density
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