We have investigated the influence of various growth parameters on the optical properties of self-assembled InAs/GaAs quantum dots (QDs) grown by molecular beam epitaxy (MBE) in Stranski-Krastanov mode. Metastably sized QDs have been observed in photoluminescence measurements, which are fabricated by depositing 2.5 monolayers (ML) InAs at a substrate temperature of 530 degrees C and As 4 pressure of (1.6 +/- 0.2) x 10(-5) mbar. These self-assembled QDs exhibit both good optical quality and a narrow size distribution with a full width at half maximum of similar to 35 meV both at room temperature and at 4.2 K. By investigating the dependence of the optical properties on the substrate temperature and arsenic pressure, we show that the diffusion length of the adatoms is responsible for changes in size, density, and quantum efficiency of the QDs beside the amount of InAs deposited. The growth conditions for fabricating QDs are optimized for substrate temperatures T-s = 480 and 530 degrees C. A high QD density (similar to 1 x 10(11) cm(-2)) with a broad size distribution and a lower QD density (similar to 1.2 x 10(10) cm(-2)) with a narrow size distribution, which are determined by atomic force microscopy have been obtained by MBE growth at T-s = 480 and 530 degrees C, respectively. Stacking several QD layers separated by thin GaAs spacers in order to achieve a higher QD density improves the optical properties of the islands. The thermal stability of the QDs has been tested by annealing the samples at high temperatures in order to determine the highest possible substrate temperature for the following expitaxial layers. The QDs grown at 530 degrees C can be overgrown at 700-720 degrees C, while the QDs grown at 480 degrees C can only be overgrown at 600-620 degrees C without obvious decrease of the quantum efficiency of the QDs. (C) 1999 American Institute of Physics. [S0021-8979(99)04104- 3].