We present a new hybrid optimization method for the synthesis of fiber Bragg gratings (FBGs) with complex characteristics. The hybrid optimization method is a two-tier search that employs a global optimization algorithm [i.e., the tabu search (TS) algorithm] and a local optimization method (i.e., the quasi-Netwon method). First the TS global optimization algorithm is used to find a “promising” FBG structure that has a spectral response as close as possible to the targeted spectral response. Then the quasi-Newton local optimization method is applied to further optimize the FBG structure obtained from the TS algorithm to arrive at a targeted spectral response. A dynamic mechanism for weighting of different requirements of the spectral response is employed to enhance the optimization efficiency. To demonstrate the effectiveness of the method, the synthesis of three linear-phase optical filters based on FBGs with different grating lengths is described.
© 2004 Optical Society of America
Original Manuscript: June 3, 2004
Revised Manuscript: July 7, 2004
Manuscript Accepted: July 7, 2004
Published: December 1, 2004
Rui Tao Zheng, Nam Quoc Ngo, Le Nguyen Binh, and Swee Chuan Tjin, "Two-stage hybrid optimization of fiber Bragg gratings for design of linear phase filters," J. Opt. Soc. Am. A 21, 2399-2405 (2004)