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The current study aims to introduce a new generalized photothermal model in which heat equation is described based on the Moore–Gibson–Thompson (MGT) equation. The thermo-optical transition process can be understood, and the interaction between elastic plasma waves and heat can be investigated and explained using the suggested model. The proposed model was used to investigate the thermal and photoacoustic effects in an infinitely constrained solid cylinder of semiconductor material that was crossed into a fixed magnetic field and subjected to a high-intensity laser heal flux. The Laplace transform technique is used to derive the numerical expressions for the components of thermal stresses, displacement, temperature field, and carrier density. The propagation of thermal, elastic, and plasma waves, as well as the distributions of each studied field, was investigated and described. The comparison is also used to evaluate the impact of thermoelastic response characteristics such as thermal relaxations, temperature frequency, and lifetime on the photo-thermoelastic response. [ABSTRACT FROM AUTHOR]