Electromagnetic response of 3D arrays of quantum dots

A phenomenological theory of electromagnetic response properties of regular ensembles of quantum dots has been elaborated on the basis of the effectiv e medium approach. We show that the QD composite comprising QDs with a give n axis of symmetry is effectively a uniaxial dielectric continuum and the p henomenon of birefringence is inherent in it. It has been shown that arrays of resonantly amplifying QDs exhibit, threefold splitting of the gain band . This fine structure of the gain band originates from both the diffraction of the electromagnetic field by single anisotropically shaped QD and the e lectromagnetic interaction of QDs in array. The analytical results are comp ared with that obtained via direct numerical simulation by a minimal autono mic block (MAB) method for a tetragonal array of disk-like and pyramidal QD s. The numerics quantitatively confirm our prediction.