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Photothermal Excitation Process during Hyperbolic Two-Temperature Theory for Magneto-Thermo-Elastic Semiconducting Medium

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Abstract

A novel technique is used to study the magnetic field influence in the free surface of an elastic semiconductor medium for a one-dimensional (1D) deformation. The problem is formulated during the hyperbolic two-temperature theory to study the coupled between the plasma, thermo-elastic waves. The investigation is conducted during a photothermal transport processes with the effects of both initial hydrostatic stress and some mechanical force. Using the Laplace transform method, the governing equations of the elastic waves, carrier density, quasi-static electric field, heat conduction equation, hyperbolic two temperature coefficient and constitutive relationships are obtained for the thermo-magnetic-electric medium. The mechanical stresses, thermal and plasma boundary conditions are applied on the interface adjacent to the vacuum to obtain the basic physical quantities in Laplace domain. The inversion of Laplace transform with numerical method is applied to obtain the complete solutions in time domain for the main physical fields under investigation. The effects of thermoelectric, thermoelastic and hyperbolic two temperature parameters of the applied force on the displacement component, carrier density, force stress and temperature distribution have been discussed graphically.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

    Kh. Lotfy, E. S. Elidy & Ramdan S. Tantawi

  2. Department of Mathematics, Faculty of Science, Taibah University, Madinah, Saudi Arabia

    Kh. Lotfy

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  1. Kh. Lotfy
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  2. E. S. Elidy
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  3. Ramdan S. Tantawi
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Contributions

Kh. Lotfy: Conceptualization, Methodology, Software, Data curation. E.S.Elidy: and Writing- Original draft preparation. Ramdan. S. Tantawi: Supervision, Visualization, Investigation, Software, Validation. All authors: Writing- Reviewing and Editing,

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Correspondence to Kh. Lotfy.

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Lotfy, K., Elidy, E.S. & Tantawi, R.S. Photothermal Excitation Process during Hyperbolic Two-Temperature Theory for Magneto-Thermo-Elastic Semiconducting Medium. Silicon 13, 2275–2288 (2021). https://doi.org/10.1007/s12633-020-00795-6

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