Photo-thermo-elastic wave propagation in an orthotropic semiconductor with a spherical cavity and memory responses

Abstract

This article highlights on the study of coupled plasma, thermal and elastic waves within an orthotropic infinite semiconducting medium in context of photothermal transport process having a spherical cavity under two-temperature theory. The memory-dependent heat transport equation for the present problem is involving the two-temperature dual-phase (DP) lag model of generalized thermoelasticity. The inner boundary of the cavity is stress free and is subjected to an exponentially decaying pulse. Moreover, the carrier density is prescribed on the boundary in terms of the recombination velocity. Employing the Laplace transform as tool, the analytical results for the distributions of the thermophysical quantities have been derived. The numerical inversion of the Laplace transform is carried out using a suitable scheme based on the Riemann-sum approximation technique. Numerical computations for an orthotropic semiconductor are performed and have been demonstrated graphically. The results also demonstrate the effect of coupling between plasma, thermal and elastic waves due to the presence of several kernel functions and response of memory effect. Also, significant differences on the thermophysical quantities are revealed due to the influence of two-temperature parameter, memory effect and time-delay parameter.

Keywords:

• Photothermal waves
• two temperature theory
• Laplace transform
• semiconducting medium
• Riemann-sum approximation technique
• orthotropic material

Acknowledgments

The authors would like to thank the Editor and the anonymous referees for their comments and suggestions on this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.