The confinement of excitons in non-abrupt GaAs/AlxGa1-xAs double quantum we
lls (DQW's) is studied. It is shown that the interface is responsible for a
n enhancement of the exciton energy, which can be several tenths of meV in
the case of GaAs/Al0.3Ga0.7As DQW's with thin wells/barriers (less than or
equal to 50 Angstrom) and interface thicknesses of the order of two monolay
ers. A displacement of the exciton energy peaks can be related to the inter
facial asymmetry, which can be of the order of 30 meV if the normal interfa
ce is two times larger than the inverted one.