In this work, we aim to investigate the photo-thermal-elastic waves interaction in a nano-composite semiconductor, elastic and functionally graded material (FGM). The governing equations are taken in one dimension during the influence of initial magnetic field when the elastic medium is isotropic and the material properties are non-homogeneity. In the domain of Laplace transform the basic equations in non- dimensional forms are formulated in a vector matrix differential equation and are solved by the eigenvalue and eigenvector approach. The physical quantities are obtained by applying the numerical inversion method of the transforms. The numerical results of the physical quantities (carrier density, displacement, temperature, stresses and strains) are discussed and illustrated graphically