Abstract
In this work, the new model of photothermal and elastic waves, with and without energy dissipation, under a hyperbolic two-temperature model, is used to compute the displacement, carrier density, thermodynamic temperature, conductive temperature and stress in a semiconductor medium. The medium is considered in the presence of the coupling of plasma and thermoelastic waves. To get the complete analytical expressions of the main physical fields, Laplace transforms and the eigenvalue scheme are used. The outcomes are presented graphically to display the differences between the classical two-temperature theory and the new hyperbolic two-temperature theory, with and without energy dissipation. Based on the numerical results, the hyperbolic two-temperature thermoelastic theory offers a finite speed of mechanical waves and propagation of thermal waves.
Highlights
Most previous studies considering the thermal and elastic properties of semiconducting elastic medium are isotropic and homogeneous
Studying the excitations of short elastic pulses by photothermal means is important for physicists and engineers because it is applied in many areas, such as the formation of images by thermal waves, determination of the parameters of thermoelastic materials, monitoring of laser drilling, laser annealing and fusion phenomena, and in photoacoustic microscopes
Hobiny and Abbas [19] investigated the photothermoelastic interaction in a 2D semiconducting medium under the Green and Naghdi model with energy dissipation (GN III)
Summary
Most previous studies considering the thermal and elastic properties of semiconducting elastic medium are isotropic and homogeneous. Analysis with partially coupled equations is enough in most experimental studies that neglect the coupling between plasma, thermal and elastic waves. Lotfy [7] investigated elastic wave propagation for a photothermoelastic medium under the influence of an internal heat source and gravitational field upon the dual-phase-lag (DPL) model. Hobiny and Abbas [8] studied photothermal and elastic waves in an unbounded semiconductor medium with a cylindrical hole. Ezzat [17] studied hyperbolic thermal-plasma wave propagation in a semiconductor of organic materials. Hobiny and Abbas [19] investigated the photothermoelastic interaction in a 2D semiconducting medium under the Green and Naghdi model with energy dissipation (GN III). Abbas [22] applied the hyperbolic two-temperature theory to study photothermoelastic interactions in semiconductor medium with a spherical cavity. The outcomes are presented graphically to depict the differences between the new hyperbolic two-temperature theory and the classical two-temperature theory with and without energy dissipation
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