Additive phase noise is studied in directly modulated optical links (1.55-mu m distributed-feedback laser and p-i-n photodiode). Up-conversion close to the microwave carrier, of the very low-frequency noise of the laser, is calculated. The phase-noise conversion factor is derived from the laser rate equations, as a function of lasers parameters and modulation frequency. Noise sources are identified and included into the model to evaluate the microwave phase noise and then the noise-to-signal ratio in terms of phase fluctuations. Very low- and high-frequency relative intensity noise (RIN) laser measurements are performed, Theoretical RIN curves are calculated and laser parameters needed for the phase-noise model are deduced. Additive phase-noise measurements are performed, Good agreement is obtained between calculations and measurements. Very good additive phase-noise values have been obtained at 10-kHz offset: -148 and -139 dBc/Hz at 3 and 9 GHz, respectively.