Using the hydrodynamic (fluid) model of plasmas, we have studied the threshold and gain characteristics of parametric amplification of optical phonon mode in magnetized A^IIIB^V semiconductor plasmas. The origin of nonlinear interaction is assumed to lie in second-order nonlinearity arising due to nonlinear coupling of pump wave, optical phonon and signal modes in the medium. Theoretical formulation has been carried out with the help of coupled mode theory under rotating-wave approximation. Numerical estimates have been made for a representative magnetized doped A^IIIB^V semiconductor crystal (viz. n-InSb) irradiated by a pulsed 10.6 μm CO₂ laser. The analysis enables us to choose one of the three achievable resonance conditions: (electron–cyclotron frequency ~ pump frequency, coupled cyclotron– plasmon frequency ~ Stokes frequency, coupled cyclotron–plasmon frequency ~ optical phonon frequency), at which threshold pump amplitude reduces, whereas parametric gain coefficient enhances nearly hundred times. The lowering of threshold and enhancement of parametric gain coefficient, in A^IIIB^V semiconductors under proper selection of doping concentration and externally applied magnetic field, confirm the chosen nonlinear medium as a potential candidate material for fabrication of optical parametric amplifier with enhanced gain coefficient.

使用等离子体的流体动力学（流体）模型，我们研究了磁化的A ^III B ^V半导体等离子体中光子模式的参数放大的阈值和增益特性。假设非线性相互作用的起源是由于泵浦波，光子和介质中信号模式的非线性耦合而产生的二阶非线性。理论公式是借助耦合模式理论在旋转波逼近下进行的。数值估计已经进行了有代表性的磁化掺杂甲^III乙^V半导体晶体（即Ñ -InSb）照射由脉冲10.6μm的CO ₂激光。通过分析，我们可以选择三种可实现的谐振条件之一：（电子-回旋加速器频率〜泵浦频率，回旋加速器–等离子体激元耦合频率〜斯托克斯频率，回旋加速器–等离子体激元耦合频率〜光学声子频率），在该阈值处泵浦振幅减小，而参数增益系数提高了近百倍。阈值和增强参量增益系数的降低，所述的^III乙^V下的掺杂浓度的适当选择半导体和外部施加的磁场，确认作为与增强增益系数的光参量放大器的制造中的潜在候选材料所选择的非线性介质。