Pseudorelativistic laser-semiconductor quantum plasma interactions

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.