Effect of Relativistic Mass Variation of the Electron on the Parametric Instability of Acoustic Waves in Transversely Magnetised Piezoelectric Semiconducting Plasmas

The effect of relativistic mass variation of the electron and of a large transverse magnetostatic field on the parametric excitation of acoustic waves is investigated in a piezoelectric semiconducting plasma. The analysis is based on the hydrodynamic model of a plasma in the collision dominated regime for kl ≪ 1. In presence of the relativistic mass variation of electrons the conditions of instability gets modified and is obtained at a much higher value of the high frequency oscillatory electric field with larger growth rate compared with that in nonrelativistic limit. Numerical estimations are made for n‐InSb at 77 K when the crystal is irradiated with a 1.06 μm Nd: YAG laser.