Doppler-free saturation spectroscopy in an optically thick atomic vapo
r is used in an optical-feedback stabilization system for a semiconduc
tor diode laser. A portion of the 780 nm diode laser beam passes throu
gh a heated rubidium cell and is reflected back to the laser. The opti
cal feedback causes the laser frequency to be stabilized to a hyperfin
e transition within the Rb D2 line. The linewidth of the laser is redu
ced by more than two orders of magnitude.