Impact of the Eigenvalue Approach on the Model of Moore-Gibson-Thompson During Photo-Acoustic Semiconducting Excitation

Abstract

<title>Abstract</title> Regarding this investigation, Moore-Gibson-Thompson (MGT) model was developed with the impact of acoustic pressure. This research's light is spotted on semiconductor material undergoing thermoacoustic and optical deformation in the context of theory of photo-thermoelasticity (PTE). The governing equations are formulated using a modified photo-excitation model, where (MGT) equation represents the heat conduction during processes of optical transport. This model represents coupling between plasma, thermal, mechanical-elastic, and acoustic wave propagation. Analytical solutions for the main physical quantities are obtainedutilizing Laplace transform method combined with the vector-matrix differential equation method. Boundary conditions for the acoustic, plasma, and thermo-mechanical effects are applied at the outer surface of the medium. Numerical inversion of Laplace transforms is performed to obtain complete space-time solutions for primary fields. Silicon is utilized as a representative semi-conductor material for numerical computations, with the results presented graphically and discussed with various influencing parameters.