Present paper reports the impact of relativistic effects on the acoustic wave instability in the semiconductor plasma medium. The classical hydrodynamic model has been used to derive dispersion relation of acoustic wave. A close inspection of dispersion relation inclusive of the relativistic effects admits the possibility of propagation of four modes in the laser semiconductor plasma system under study. Analysis of all these modes has been done quantitatively as well as qualitatively as a function of laser pump field intensity and doping concentration of the medium. The subsequent numerical analysis is made with n-InSb at 77 K duly irradiated by a 1.06 µm Nd:YAG laser. Applied laser intensity is well below the damage threshold of the InSb crystal. The phase profile of observed modes confirms the existence of two co-propagating and two contra-propagating modes. The phase speed of I and IV modes are found to be augmented, whereas II and III modes are found to modify the gain profile of all the modes effectively. It is found that the propagation and amplification characteristics of all the modes get modified when relativistic effects are taken into account. It is found that proper selection of laser pump field intensity and carrier density plays a significant role in the favourable propagation and gain characteristics of the acoustic wave in the semiconductor plasma medium.

本论文报告了相对论效应对半导体等离子体介质中声波不稳定性的影响。经典的流体动力学模型已被用于推导出声波的色散关系。对包括相对论效应在内的色散关系的仔细检查承认在所研究的激光半导体等离子体系统中可能存在四种模式的传播。所有这些模式的分析都作为激光泵场强度和介质掺杂浓度的函数进行了定量和定性分析。随后的数值分析是在 77 K 下用 1.06 µm Nd:YAG 激光器适当照射的 n-InSb 进行的。施加的激光强度远低于 InSb 晶体的损伤阈值。观察到的模式的相位分布证实了两种共同传播和两种反向传播模式的存在。发现 I 和 IV 模式的相位速度得到了增强，而 II 和 III 模式被发现可以有效地修改所有模式的增益分布。发现在考虑相对论效应的情况下，所有模式的传播和放大特性都得到了修正。It is found that proper selection of laser pump field intensity and carrier density plays a significant role in the favourable propagation and gain characteristics of the acoustic wave in the semiconductor plasma medium. 发现在考虑相对论效应的情况下，所有模式的传播和放大特性都得到了修正。It is found that proper selection of laser pump field intensity and carrier density plays a significant role in the favourable propagation and gain characteristics of the acoustic wave in the semiconductor plasma medium. 发现在考虑相对论效应的情况下，所有模式的传播和放大特性都得到了修正。It is found that proper selection of laser pump field intensity and carrier density plays a significant role in the favourable propagation and gain characteristics of the acoustic wave in the semiconductor plasma medium.