  We report on our theoretical studies of the luminescence spectra of a quantum
cascade laser where the quantum wells in the active regions are replaced by
parabolic quantum dots. We analyze the influence of shape and size of the dots
on the luminescence spectra. The emission spectra have interaction induced
blueshift which increases almost linearly with increasing electron number. The
blueshift is smaller for larger and non-circular dots. For large dots, shape of
the emission line has weak dependence on the shape of quantum dots.
