An optical source is described. This optical source includes a set of semiconductor optical amplifiers, with a semiconductor other than silicon, which provides an optical gain medium. In addition, a photonic chip, optically coupled to the set of semiconductor optical amplifiers, includes optical paths. Each of the optical paths includes an optical waveguide and a distributed-Bragg-reflector (DBR) ring resonator. The DBR ring resonator at least partially reflects a given tunable wavelength in an optical signal provided by a given semiconductor optical amplifier. Moreover, the DBR ring resonator includes a different number of grating periods than DBR ring resonators in the remaining optical paths, and the DBR ring resonators in the optical paths have a common radius.