Abstract:
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.
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Received 5 September 2000 and Received in final form 5 March 2001
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Sharma, G., Ghosh, S. Convective amplification of parametrically generated acoustic wave in a piezoelectric semiconductor plasma. Eur. Phys. J. D 15, 79–86 (2001). https://doi.org/10.1007/s100530170185
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DOI: https://doi.org/10.1007/s100530170185