The properties of excitons in inhomogeneous quantum dots have been the
oretically studied in the strong confinement regime; these dots have a
n internal structure, with an inner core that behaves as a repulsive p
otential for electrons and holes. The model includes a rigorous (macro
scopic) treatment of the dielectric mismatch at the dot boundaries. An
alytical (numerical) results are obtained for the ground- (excited-) s
tate exciton. It is found in all cases that the exciton binding energy
decreases by increasing the size of the core region; on the other han
d, the dielectric enhancement of the exciton binding energy becomes ev
en more pronounced than in homogeneous quantum dots. [S0163-1829(98)02
815-X].