Raman and Brillouin scattering instabilities of transverse electromagnetic waves in degenerate electron-ion plasmas

Abstract

By applying the Maxwell and quantum hydrodynamic equations, we have studied the parametric instabilities of stimulated Raman scattering (SRS) and stimulated Brillouin scattering (SBS) in an unmagnetized electron-ion quantum plasma. In this context, we have derived the nonlinear dispersion relations of the large-amplitude electromagnetic (EM) waves, the electrostatic electron plasma waves, and the ion-acoustic waves. The nonlinear evolution equations are then solved by utilizing the Fourier transform to obtain expressions for the three-wave decay and modulational instabilities with quantum corrections. It is found that the growth rate of the instabilities is a strong function of large-amplitude EM waves, and quantum effects due to Fermi pressure and quantum correlations stabilize both SRS and SBS instabilities. Expressions for the maximum growth rates attributed to SRS and SBS instabilities are also derived by ignoring the nonlinear correction shift on the frequency of EM waves. The relevance of nonlinear interaction of EM waves with a quantum dense astrophysical plasma is highlighted in the perspective of electron Fermi pressure and exchange-correlation effects, where the plasma density is high enough.

Do hydrodynamic models based on time-independent density functional theory misestimate exchange effects? Comparison with kinetic theory for electrostatic waves

“…Refs. 11,12,[15][16][17][18][19][20] Our comparison with kinetic theory, however, shows that such an approximation should be avoided.…”

“…It was introduced in Ref. 10 and has been much used since then [11][12][13][14][15][16][17][18][19][20] .…”

The impact of quantized magnetic pressure on the stimulated Brillouin scattering of electromagnetic waves

“…The sidebands involve the wave vectors k ± = k ± k 0 and frequencies ω ± = Ω ± ω 0 . Consequently the vector potential, A ⊥ , can be resolved into upper and lower sidebands [51,52]…”

“…The scattering instabilities of EMW in unmganetized, quantum plasmas was discussed in [51]. Recently, Rozina et al [52] have considered SBS instability of large amplitude EMW propagating through an unmagnetized quantum electron-ion plasma. It is important to note here that only a few authors have considered the effect of a super strong magnetic field on SBS [53][54][55], while some of the work was presented through simulation studies [56,57].…”

“…Recently, a model was presented in [52] to address the scattering mechanism of EMW in an unmagnetized electron ion plasma with quantum corrections. It was found in this paper that the quantum effects, involving Fermi pressure and quantum correlations, stabilizes the scattering instabilities.…”