Effects of Lattice Frequency on Vacancy Defect Solitons in a Medium with Quadratic Nonlinear Response

Abstract

The impact of lattice frequency on the defect lattice solitons have been investigated in a medium with quadratic nonlinear response. Governing equation of the optical system has been formed by adding an external lattice to the nonlinear Schrödinger equation with coupling to a mean term (NLSM system), and soliton solutions of the system were calculated by the squared operator method. Moreover, stability of the fundamental solitons has been examined by the linear stability spectra and nonlinear evolution of the solitons. It has been demonstrated that although higher lattice frequency extends the existence domain of propagation constant for defective lattice solitons in a quadratic nonlinear medium, it has an adverse effect on stability dynamics of the solitons.