We have measured the optical properties of self-organized strained InG
aAs quantum disks in high magnetic fields. The disks are formed during
spontaneous reorganization of a sequence of AlGaAs and strained InGaA
s epitaxial films grown on GaAs (311)B substrates by metallorganic vap
or-phase epitaxy. The magneto-luminescence properties of these InGaAs
quantum disks have been studied for various disks sizes with lateral w
idths from 100 nm down to 20 nm. We have confirmed that when the later
al confinement exists the exciton binding energy increases even when t
he spatial extent of the effective potential is greater than the excit
on in-plane Bohr radius. This enhancement starts being noticeable when
the spatial extent of the potential is two, three times larger than t
he Bohr radius, where the center-of-mass quantization is negligibly sm
all.