Refined multi-phase-lags theory for photothermal waves of a gravitated semiconducting half-space

Abstract

A refined multi-phase-lags theory for thermoelastic photothermal response of half-space semiconducting medium is presented. The semiconducting medium is subjected to the internal heat source as well as a gravity effect. The photothermal wave propagation of a gravitated semiconducting half-space has been examined. A fourth equation for the plasma transport is added to the old thermoelastic partial differential equations. All coupled photo-thermoelastic equations have been resolved exactly due to the normal mode model. A harmonic wave solution is adopted to derive the main variables of the medium. The temperature, horizontal and vertical displacements, stresses, and carrier density have been obtained. A comparison is made to show the dependency of all field variables on the internal heat source and the inclusion of gravity. Most variables are very sensitive to the variation of the heat source and gravity factor. Results are tabulated to serve as benchmarks for future comparisons and additional results have been displayed to show the physical meaning of the phenomena.