Two-Temperature Photothermal Interactions in a Semiconducting Material with a 3D Spherical Cavity
- Authors: Hobiny A.D.1, Abbas I.A.1,2
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Affiliations:
- Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics
- Department of Mathematics, Faculty of Science
- Issue: Vol 22, No 4 (2019)
- Pages: 327-332
- Section: Article
- URL: https://journal-vniispk.ru/1029-9599/article/view/192732
- DOI: https://doi.org/10.1134/S1029959919040088
- ID: 192732
Cite item
Abstract
In this paper, a two-temperatures photothermoelastic interactions in an infinite semiconductor medium with a spherical cavity were studied using mathematical methods. The cavity internal surface is traction free and the carrier density is photogenerated by boundary heat flux with an exponentially decaying pulse. Laplace transform techniques are used to obtain the exact solution of the problem in the transformed domain by the eigenvalue approach and the inversion of Laplace transforms has been carried numerically. Numerical computations have been also performed for a silicon-like semiconductor material.
About the authors
A. D. Hobiny
Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics
Email: aabbas5@kau.edu.sa
Saudi Arabia, Jeddah, 21589
I. A. Abbas
Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics; Department of Mathematics, Faculty of Science
Author for correspondence.
Email: aabbas5@kau.edu.sa
Saudi Arabia, Jeddah, 21589; Sohag, 82524
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