Photo-thermo-elastic wave propagation under the influence of magnetic field in presence of memory responses

Abstract

This article focuses on studying the coupled plasma, thermal, elastic waves of a semiconductor in context of photothermal transport process with cylindrical cavity under the influence of magnetic field subjected to memory-dependent Dual-phase lag heat equation. The surface of the cavity is subjected to exponentially decaying pulse and prescribed carrier density. Employing Laplace transform, the analytical results for distributions of the thermophysical quantities have been derived. The numerical inversion of the Laplace transform is carried out using Riemann-sum approximation technique. Significant differences on the thermophysical quantities are revealed due to the influence of magnetic field, memory effect and time-delay parameter.

Communicated by Marat Z. Dosaev.

Keywords:

• Photothermal waves
• memory dependent derivative
• Laplace transform
• semiconducting medium
• Riemann-sum approximation technique
• magnetic field

Acknowledgments

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

Conflict of interest

The author declares that there is no Conflict of interest.