Quantum effect on parametric dispersion in presence of nonuniform size colloids in semiconductors

Quantum effect on parametric dispersion characteristics in ion implanted semiconductors in presence of nonuniform size colloids is analytically investigated in the present report. Nonuniform size colloids are managed through polynomial distribution function in the analysis. Here the used quantum hydrodynamic model is described by a set of hydrodynamic equations (typically continuity and momentum transfer) that include quantum effects via Bohm potential. Bohm potential modified second order optical susceptibility is obtained through nonlinear induced current density in presence of electrons and negatively charged nonuniform size colloids. It is found that parametric dispersion characteristics are greatly influenced by the quantum modifications. The parametric dispersion of the generated signal mode reduces due to the presence of Bohm potential. The required pump intensity at which one achieves maximum dispersion shifts towards higher value in presence of quantum term. Moreover present study also establishes that quantum effect on colloids is inversely proportional to their size; smaller colloids induce more quantum modifications.