Parametric amplification of acoustical phonons in semiconductor magneto-plasmas: Quantum effects

Using QHD model, the quantum effects (QEs) on parametric amplification of acoustical phonons in semiconductor magneto-plasmas have been investigated. Assuming that the origin of nonlinear interaction lies in nonlinear induced current density of the medium (arising due to density perturbations of the medium) in the presence of pump field, expressions have been obtained for second-order susceptibility of the medium and hence the threshold pump amplitudes (with and without QEs) and as well as parametric gain coefficients (with and without QEs). Numerical analysis has been made for n-InSb-CO2 laser system. The dependence of these parameters on acoustic wave number, external magnetic field, and doping concentration has been explored. It has been found that the Bohm potential in the electron dynamics reduces the threshold pump amplitude for the onset of parametric amplification four times whereas enhances the parametric gain coefficient approximately fourteen times. The analysis provides the detailed information of quantum effects semiconductor magneto-plasmas and establishes the technological potentiality of semiconductor magneto-plasmas as the hosts for fabrication of efficient parametric amplifiers.