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Photothermal influences in semiconductors with temperature-dependent properties generated by laser radiation using strain–temperature rate-dependent theory

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Abstract

In this paper, a novel model is constructed to study the photothermal effects generated in a half-space semiconducting medium by a uniform laser radiation using the modified Green–Lindsay theory. The considered medium is assumed to have temperature-dependent properties. Furthermore, the medium surface is exposed to cooling effect and taken to be traction-free. The obtained mathematical model is treated using Laplace transform, while its inverse obtained numerically. Unlike the existing results, in this work two cases of the surface absorption coefficient are studied with comparisons, and these are constant and temperature-dependent absorption coefficients.

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Data Availability Statement

This manuscript has no associated data.

Abbreviations

k :

Is the thermal conductivity.

\( \rho \) :

Is the density

\( C_E\) :

Is the specific heat at constant strain

T :

Is the absolute temperature

\(T_0\) :

Is the reference temperature

\(E_g\) :

Is the energy gap

\(\tau \) :

Is the photo-generated carrier lifetime

\(D_E\) :

Is the carrier diffusion coefficient

A :

Is the absorption coefficient of the material

\(q_0\) :

Is the intensity of laser

\(n_0\) :

Is the equilibrium free-carrier at temperature T. \(\sigma _{ij}\) Are the stress tensor

\(\lambda \) and \(\mu \) :

Are Lamé constants

\(\alpha _T \) and \(\alpha _n \) :

Are the coefficients of linear thermal expansion and electronic deformation

\(\varrho _{ij}\) :

Represent the strain components

\(\delta _0\) :

Is the surface recompilation velocity

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Acknowledgements

The authors thank the anonymous reviewers for their useful comments that improved the paper. The authors gratefully acknowledge the support of the Deanship of scientific research at Majmaah University for supporting this work under the project number R-2022-184.

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Authors and Affiliations

  1. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, 11952, Saudi Arabia

    Mogtaba A. Y. Mohammed & Ismail M. Tayel

  2. Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, 0002, South Africa

    Mogtaba A. Y. Mohammed

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Correspondence to Ismail M. Tayel.

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Mohammed, M.A.Y., Tayel, I.M. Photothermal influences in semiconductors with temperature-dependent properties generated by laser radiation using strain–temperature rate-dependent theory. Eur. Phys. J. Plus 137, 703 (2022). https://doi.org/10.1140/epjp/s13360-022-02910-5

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