In the present work, the coupled plasma theory (thermally and elasticity waves) was used to study the wave propagation of semiconducting sample through photothermal process. The coupled of the plasma, thermally, and elastic waves that photo-generated through intensity modulated laser beam and tightly focused has been considered to study an elastic homogeneous semiconducting medium with isotropic thermo-elastic properties. Laplace transformations were used to investigate analytically solutions in the transformed domain based on the approach of eigenvalue. Numerically calculations were carried out for silicon semiconductor sample. The results were graphical observed to show the influence the coupled wave of plasma, thermal, and elastic.