A chromatic dispersion compensator with low differential delay is provided that includes a chirped fiber Bragg grating in a compensating optical fiber core. The chirped fiber Bragg grating includes wavelength gratings spaced at distances varying with respect to the length of the compensating optical fiber core to compensate for differential delay in a synchronous time protocol for a bidirectional computer data communication link. The chromatic dispersion compensator also includes an optical junction to optically couple the chirped fiber Bragg grating to an optical fiber of the bidirectional computer data communication link.