Two-stage hybrid optimization of fiber Bragg gratings for design of linear phase filters.

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.

[1]  T. Erdogan.  Fiber grating spectra , 1997 .

[2]  J. Skaar,et al.  On the synthesis of fiber Bragg gratings by layer peeling , 2001 .

[3]  Michalis N. Zervas,et al.  An efficient inverse scattering algorithm for the design of nonuniform fiber Bragg gratings , 1999 .

[4]  J. Chun,et al.  Design of fiber Bragg gratings using the simulated annealing technique for an ideal WDM filter bank , 2000, MILCOM 2000 Proceedings. 21st Century Military Communications. Architectures and Technologies for Information Superiority (Cat. No.00CH37155).

[5]  D. Shanno.  Conditioning of Quasi-Newton Methods for Function Minimization , 1970 .

[6]  Fred W. Glover,et al.  Genetic algorithms and tabu search: Hybrids for optimization , 1995, Comput. Oper. Res..

[7]  Johannes Skaar,et al.  A genetic algorithm for the inverse problem in synthesis of fiber gratings , 1998 .

[8]  L. Poladian,et al.  Simple grating synthesis algorithm. , 2000, Optics letters.

[9]  Raoul Stubbe,et al.  A writing technique for long fiber Bragg gratings with complex reflectivity profiles , 1997 .

[10]  Bengt Sahlgren,et al.  Fabrication of advanced fiber Bragg gratings by use of sequential writing with a continuous-wave ultraviolet laser source. , 2002, Applied optics.

[11]  P. Petropoulos,et al.  Dispersion-free fibre Bragg gratings , 2001, OFC 2001. Optical Fiber Communication Conference and Exhibit. Technical Digest Postconference Edition (IEEE Cat. 01CH37171).

[12]  Thomas Andrew Strasser,et al.  Impact of fiber grating dispersion on WDM system performance , 1998 .