Spin Dependent Steady State and Transient Gain Characteristics of Stimulated Brillouin Scattering in Magnetized Quantum Plasma

Abstract

The steady state stability and the transient gain features of stimulated Brillouin gain in the semiconductor plasmas are examined whenever an expanded quantum magnetohydrodynamic formula is considered. The model includes primeval quantum corrections including the Bohm potential, and also spin-generated effects of magnetization to better explain the electronic fluid behavior under excitation of the electromagnetic field. This is because the third order nonlinear susceptibility is responsible in the amplification mechanism known as the Brillouin amplification mechanism and therefore this is as a result of the nonlinear current density and electrostrictive coupling of the plasma medium. Our analysis demonstrates that both spin polarization and quantum corrections significantly alter the SBS gain dynamics. Notably, the spin effect enhances the Brillouin gain profile and leads to a substantial reduction in the threshold pump intensity, thereby improving the efficiency of SBS generation. These results underscore the critical role of spin dynamics in tailoring nonlinear optical responses in semiconductor plasmas and offer valuable insights for the development of spin-dependent photonic systems, plasma-based amplifiers, and quantum sensing technologies.