Convective amplification of parametrically generated acoustic wave in a piezoelectric semiconductor plasma
School of Studies in Physics, Vikram University, Ujjain-456 010 (M.P.), India
Corresponding author: a firstname.lastname@example.org
Revised: 5 March 2001
Published online: 15 July 2001
Using hydrodynamic model of semiconductor plasmas and coupled-mode theory of interacting waves, we have analytically investigated parametric interaction in a magnetised piezoelectric semiconductor plasma in non-relativistic domain. The temperature dependence of momentum transfer collision frequency of electrons due to their heating by the pump is assumed to induce nonlinearity in the medium. We have derived a dispersion relation which finally gives four unstable acoustic modes; two forward amplifying modes and two backscattered attenuating modes. We have also obtained an expression for the critical pump amplitude () at and around which gains and phase velocities of amplifying acoustic modes become least dependent on the pump amplitude and static magnetic field . The required can be readily obtained from a pulsed 10.6 μm CO2 laser. The magnetic field is found to shift the critical point towards lower pump amplitudes.
PACS: 72.30.+q – High-frequency effects; plasma effects / 52.35.Mw – Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.) / 72.55.+s – Magnetoacoustic effects
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001