We consider an effective mass model for an electron-hole pair in a simplifi
ed confinement potential, which is applicable to both a nanoscopic self-ass
embled semiconducting InAs ring and a quantum dot. The linear optical susce
ptibility, proportional to the absorption intensity of near-infrared transm
ission, is calculated as a function of the ring radius R-0. Compared with t
he properties of the quantum dot corresponding to the model with a very sma
ll radius R-0, our results are in qualitative agreement with the recent exp
erimental measurements by Pettersson et al.