https://doi.org/10.1007/s100530170185
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 drsanjayghosh@hotmail.com
Received:
5
September
2000
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
