“…Using the relevant approaches mentioned before, expressions of the linear, third-order nonlinear, and total absorption coefficients (ACs) for the optical transitions are found as follows [ 31 , 32 , 33 , 34 , 35 ], respectively where, is the real part of the permittivity, is the carrier density in the system, is the vacuum permeability, is the energy difference between two impurity states, , is the transition matrix element between the eigenstates and for incident radiation polarized in the x -direction, is the relaxation rate, is the inverse relaxation time, c is the speed of the light in free space, and I is the intensity of incident photon with the -angular frequency that leads to the intersubband optical transitions. It should be noted that due to the even symmetry of the confinement potential.…”