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

Journal Article · Fri Jan 15 00:00:00 EST 2010 · Journal of Applied Physics

DOI:https://doi.org/10.1063/1.3295917· OSTI ID:21476100

Amin, M R ^[1]

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1. Department of Electronics and Communications Engineering, East West University, 43 Mohakhali, Dhaka 1212 (Bangladesh)

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.

• OSTI ID: 21476100
• Journal Information: Journal of Applied Physics, Vol. 107, Issue 2; Other Information: DOI: 10.1063/1.3295917; (c) 2010 American Institute of Physics; ISSN 0021-8979
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DISPERSION RELATIONS
ELECTRONS
HYDRODYNAMICS
LASER RADIATION
MAXWELL EQUATIONS
MODULATION
NONLINEAR PROBLEMS
PIEZOELECTRICITY
PLASMA
PLASMA FLUID EQUATIONS
PLASMA INSTABILITY
QUANTUM MECHANICS
SCATTERING
SEMICONDUCTOR MATERIALS
BOLTZMANN-VLASOV EQUATION
DIFFERENTIAL EQUATIONS
ELECTRICITY
ELECTROMAGNETIC RADIATION
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FLUID MECHANICS
INSTABILITY
LEPTONS
MATERIALS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
RADIATIONS