Sampled Bragg grating with desired response in one channel by use of a reconstruction algorithm and equivalent chirp

The reconstruction algorithm is first applied to a sampled Bragg grating (SBG) with chirp in the sampling period. This method is demonstrated to achieve various profiles of both reflection and group delay within one channel of the SBG. This method has the advantage that the phase mask does not need any chirp, and only submicrometer precision is needed in the fabrication process. Based on this method, a tunable dispersion compensator is fabricated with a tuning range of $300 \mathrm{ps}/\mathrm{nm}$ in a flat band of 1 nm.