Transient thermoelastic and carrier wave behavior in laser-excited cylindrical semiconductor metamaterial disc

Semiconductor metamaterials have attracted growing attention due to their ability to manipulate thermal, mechanical, and electronic wave interactions, enabling applications in sensing, energy harvesting, and nanoscale device engineering. Understanding how laser excitation influences wave behavior in such materials is essential for improving the performance and reliability of advanced optoelectronic systems. This study presents a novel analytical model for photo-thermoelastic wave propagation in porous semiconductor metamaterials under plasma-carrier interactions within a one-dimensional cylindrical coordinate system. The model simplifies the spatial configuration to a radial-only framework, enabling closed-form solutions while retaining key physical phenomena such as porosity-induced microvoid effects, thermal relaxation, and photo-induced plasma dynamics. The governing equations, derived from generalized photo-thermoelasticity theory with Lord-Shulman and Green-Lindsay models, are formulated to incorporate coupled elastic, thermal, and carrier transport behaviors in cylindrical geometry. The Laplace transform technique is employed to convert the time-dependent partial differential equations into solvable ordinary differential equations, and the resulting expressions are inverted numerically to obtain the physical field distributions. The results reveal that porosity significantly dampens wave amplitude and delays propagation due to the microstructure of metamaterials. These findings provide valuable insights for optimizing wave modulation in cylindrical porous semiconductor devices used in acoustic sensing, photothermal actuators, and nanoelectronic systems.