An analytical analysis of the laser-driven acoustic wave instability in a material with strain-dependent dielectric constants is given. The analysis is based on the quantum hydrodynamic model of a plasma-dominated regime. Using coupled mode theory, the acoustic instability in the medium is investigated. It is found large values of growth rates can be achieved for material having an anomalously large dielectric constant, using ferroelectric material. In our study we have used PZT and BaTiO₃ for further calculation. We have shown a comparative analysis for classical and quantum effect for both materials. This study investigates laser-driven acoustic instabilities in materials characterized by strain-dependent dielectric constants within the framework of quantum plasma physics. By considering the impact of both intense laser fields and material strain on the dielectric properties of the medium, we explore the resulting nonlinear interactions that give rise to acoustic wave instabilities. The strain-induced variations in the dielectric constant alter the plasma's response to external perturbations, leading to complex dynamic behaviour in the system. Utilizing a quantum hydrodynamic model, we derive the governing equations that describe these instabilities and examine their dependence on key parameters such as laser intensity, material strain, and quantum effects. The analysis reveals that the strain dependence of the dielectric constant significantly influences the threshold conditions for instability, as well as the growth rate and frequency characteristics of the acoustic waves. This research has important implications for the understanding and control of laser-material interactions in advanced plasma technologies, particularly in the context of quantum plasmas and high-intensity laser applications.
Chourey et al. (Mon,) studied this question.