Pseudorelativistic laser-semiconductor quantum plasma interactions

Yunliang Wang, Bengt Eliasson

Research output: Contribution to journalArticle

Abstract

A model is presented for the nonlinear interaction between a large amplitude laser and semiconductor plasma in the semi-relativistic quantum regime. The collective behavior of the electrons in the conduction-band of a narrow-gap semiconductor is modeled by a Klein-Gordon equation, which is nonlinearly coupled with the electromagnetic (EM) wave through the Maxwell equations. The parametric instabilities involving the stimulated Raman scattering and modulational instabilities are analyzed theoretically, and the resulting dispersion relation relation is solved numerically to assess the quantum effects on the instability. The study of quasi-steady state solution of the system and direct numerical simulations demonstrate the possibility of the formation of localized EM solitary structures trapped in electrons density holes.
LanguageEnglish
Article number043205
Number of pages5
JournalPhysical Review E
Volume93
Issue number4
DOIs
Publication statusPublished - 13 Apr 2016

Fingerprint

plasma interactions
Semiconductor Lasers
Semiconductors
Plasma
semiconductor lasers
Electron
Stimulated Raman Scattering
Modulational Instability
Quantum Effects
Collective Behavior
Klein-Gordon Equation
Nonlinear Interaction
Steady-state Solution
Dispersion Relation
Electromagnetic Wave
Interaction
Maxwell's equations
Conduction
semiconductor plasmas
quasi-steady states

Keywords

  • pseudorelativistic
  • semiconductor plasma
  • large amplitude laser
  • Klein-Gordon equation

Cite this

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Pseudorelativistic laser-semiconductor quantum plasma interactions. / Wang, Yunliang; Eliasson, Bengt.

In: Physical Review E, Vol. 93, No. 4, 043205 , 13.04.2016.

Research output: Contribution to journalArticle

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AU - Wang, Yunliang

AU - Eliasson, Bengt

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AB - A model is presented for the nonlinear interaction between a large amplitude laser and semiconductor plasma in the semi-relativistic quantum regime. The collective behavior of the electrons in the conduction-band of a narrow-gap semiconductor is modeled by a Klein-Gordon equation, which is nonlinearly coupled with the electromagnetic (EM) wave through the Maxwell equations. The parametric instabilities involving the stimulated Raman scattering and modulational instabilities are analyzed theoretically, and the resulting dispersion relation relation is solved numerically to assess the quantum effects on the instability. The study of quasi-steady state solution of the system and direct numerical simulations demonstrate the possibility of the formation of localized EM solitary structures trapped in electrons density holes.

KW - pseudorelativistic

KW - semiconductor plasma

KW - large amplitude laser

KW - Klein-Gordon equation

UR - http://journals.aps.org/pre/abstract/10.1103/PhysRevE.93.043205

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DO - 10.1103/PhysRevE.93.043205

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