NONLOCAL ELECTRODYNAMICS OF ARRAYS OF QUANTUM DOTS

We analyze the linear and nonlinear optical responses of an array of q uantum dots (QD's). Our model treats the matter-field interaction self -consistently, and includes the nonlocality of the electromagnetic fie ld throughout the system. This procedure allows us to address the depe ndence of radiative decay rates as well as of the nonlinear response o n size, geometry, and the material. Applications are made to a one-dim ensional periodic array of semiconductor quantum dots, where the intra dot and interdot exciton motion is of Wannier and Frenkel types, respe ctively. We compare the optical nonlinearity enhancement of the array with that of a single QD.