Propagation of Plane Waves in a Semiconducting Media Via Memory-Dependent Kernels and Nonlocality Effect
摘要
Surface wave propagation in semiconducting media is critical for applications in semiconductor device engineering and photothermal diagnostics. The interaction of nonlocal elasticity, photothermal effects, and fluid layers introduces complex dynamics that require advanced theoretical models to understand wave behavior and energy distribution in such systems.
PurposeThis study aims to develop a novel theoretical framework to investigate surface wave propagation in semiconducting media overlaid by a non-viscous fluid layer, incorporating photothermal effects, memory-dependent kernels, and nonlocal elasticity governed by the Klein-Gordon operator.
MethodsThe research employs a theoretical model embedding time-dependent nonlocal kernels, represented as retarded Green’s functions, within thermoelastic equations. A normal-mode approach is used to analyze the dynamic response of the semiconducting medium under continuous mechanical force at the interface. Numerical simulations evaluate key physical parameters, including displacement, stress, carrier density, and temperature, focusing on the influence of thermoelectric coupling and fluid layer thickness.
ResultsThe simulations reveal oscillatory behaviors, wave attenuation, and energy distribution patterns in the semiconducting medium. Variations in thermoelectric coupling and fluid layer thickness significantly affect wave penetration depths, with distinct impacts on displacement, stress, carrier density, and temperature at the boundary.
ConclusionThis study advances the understanding of surface wave propagation in semiconducting media by integrating nonlocal elasticity, photothermal effects, and memory-dependent kernels. The findings enhance theoretical wave dynamics, offering insights for semiconductor device engineering and photothermal diagnostics, while opening avenues for further exploration of complex wave interactions.