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Quantum effect on modulational instability of laser radiation in a semiconductor plasma

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1 Author(s)
Amin, M.R. ; Department of Electronics and Communications Engineering, East West University, 43 Mohakhali, Dhaka 1212, Bangladesh

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Modulational instability of a high power laser radiation in a homogeneous unmagnetized piezoelectric semiconductor plasma has been investigated analytically. The fluid equations of quantum hydrodynamics coupled with the Maxwell’s equations have been employed to find the nonlinear response of electrons in the piezoelectric semiconductor. The analysis is carried out through the derivation of the nonlinear dispersion relation for the four-wave modulational instability. An expression for the growth rate of the instability including the quantum effect due to Bohm potential has been obtained from the nonlinear dispersion relation. The quantum effect is observed to play a vital role in the four-wave scattering process. For a particular set of parameters, the quantum effect enhances the growth rate of the modulational instability by 37% compared to the growth rate predicted by the classical theory.

Published in:

Journal of Applied Physics  (Volume:107 ,  Issue: 2 )