Self-assembled InAs/ GaAs quantum dots have been grown at very low InAs growth rate in order to form sparse and large quantum dots ͑QDs͒ emitting in the near infrared ͑1300-1400 nm͒, for application as single-photon sources. The structural and optical properties of these QDs as a function of the growth rate were systematically investigated. The QDs grown at the lowest rate ͑ϳ10 −3 ML/ s͒ present a very low dot density ͑ϳ2 ϫ 10 8 dots/ cm 2 ͒, high In content, and good size homogeneity. Photoluminescence and time-resolved photoluminescence measurements performed at different powers and temperatures provide information on their luminescence efficiency, and on the recombination processes occurring in the low-density QDs as compared to higher densities.