Abstract

Temporal instability of acoustic wave is investigated in an infinite semiconductor plasma using classical hydrodynamic approach. We consider a homogeneous semiconductor placed in an external magnetic field. Dispersion and gain characteristics of acoustic wave generated in a piezoelectric semiconductor plasma medium with momentum mismatched situation are examined. Numerical analysis of qualitative nature of the four available modes infers that an endurable momentum mismatch modifies the spectra of acoustic wave significantly. Influence of pump field and doping profile on the dispersion and gain characteristics of all possible modes in the medium has been studied and reported. The result infers that the pump field and carrier density play significant roles as control parameters for the favourable propagation and gain characteristics of the acoustic wave in the medium. Presence of momentum mismatch is found to enhance the phase speed of highly unstable modes. These results may pave way to generate squeezed states, useful in optical communication system having operational wavelengths compatible with the spatial scales under consideration.

中文翻译：

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动量不匹配条件下半导体等离子体介质中声波的时间不稳定性

摘要

使用经典的流体动力学方法，在无限的半导体等离子体中研究了声波的时间不稳定性。我们考虑放置在外部磁场中的均匀半导体。研究了在动量不匹配的情况下在压电半导体等离子体介质中产生的声波的色散和增益特性。四种可用模式的定性性质的数值分析表明，持久的动量失配会显着改变声波的频谱。研究和报道了泵浦场和掺杂分布对介质中所有可能模式的色散和增益特性的影响。结果表明，泵浦场和载流子密度在介质中作为声波良好传播和增益特性的控制参数起着重要作用。动量失配的存在被发现增强了高度不稳定模式的相速度。这些结果可以为产生压缩状态铺平道路，这在具有与所考虑的空间尺度兼容的工作波长的光通信系统中很有用。