Effect of External Applied Electric Field on Second-order Nonlinear Optical Susceptibilities in AlxGa1-xN/GaN Single Quantum Well Under a Constant Tilted Magnetic Field

The effect of positive and negative applied electric field along [0001] and [000 (1) over bar] crystal growth direction, respectively, on second-order nonlinear optical susceptibilities under a constant tilted magnetic field in AlGaN/GaN single quantum well has been studied theoretically. The electronic eigen values and their corresponding envelope functions are obtained by solving the effective mass equations in the finite difference method. The analytic expression for the second-order optical susceptibilities such as second-order second harmonic generations and optical rectifications are given in the compact density matrix approach. The second-order optical susceptibilities are found to get blue shifted for both applied electric fields under constant tilted magnetic field since the intersubband energyspacing increases with increasing in external applied electric fields.