Analysis of photothermal effects on plane waves in a fiber-reinforced magneto-thermoelastic semiconducting medium with hall current under initial stress

Purpose This work aims to accomplished a numerical analysis to examine the impact of photothermal trans-port process on plane waves in a fiber-reinforced magneto-thermoelastic semiconducting medium with Hall current (HC) and initial stress. Design/methodology/approach By using the dual-phase-lag model of generalized ther- moelasticity, the governing equations are articulated. Findings It has been noted that four coupled plane waves propagate through the medium with different speeds. The expressions for amplitude ratios, phase velocities and energy ratios for the reflected waves are deduced by adopting suitable boundary conditions. The results for am- plitude ratios, phase speeds and partition of energy for several values of incident angle are evaluated numerically and demonstrated graphically. Originality/value A lot of research has been carried out in recent years on photothermoelastic medium, but not much attention has been given to study the reflection phenomenon of plane waves in a fiber-reinforced magneto-photothermoelastic medium with HC under initial stress. The numerical results reveal that amplitude ratios are notably affected by the carrier dif- fusion coefficient, HC parameter, initial stress and fiber-reinforcement. Additionally, it is noted that phase speed in the presence of reinforcement depends on the incident angle. Moreover, it is also confirmed that energy remains intact throughout the reflection phenomena.