Effect of the shape of quantum dots on the refractive index changes

We have intensively studied the influence of the shape of quantum dots on the refractive index changes. Within the framework of the effective-mass approximation, numerical results are performed by means of calculation methods of the compact-density-matrix and the matrix diagonalization. We analyze the properties of the linear, third-order nonlinear and total refractive index changes (RICs) as a function of the incident photon energy in circular, elliptic, and triangular shaped quantum dots. The results show that the shape of quantum dots has a significant impact on the refractive index changes.