Design of optimal length low-dispersion FBG filter using covariance matrix adapted evolution

The design of a low-dispersion fiber Bragg grating (FBG) with an optimal grating length using covariance matrix adapted evolution strategy (CMAES) is presented. A novel objective function formulation is proposed for the optimal grating length low-dispersion FBG design. The CMAES algorithm employs adaptive learning procedure to identify correlations among the design parameters. The design of a low-dispersion FBG filter with 25-GHz (or 0.2 nm in the 1550-nm band) bandwidth is considered. Simulation results, obtained using the codes available in public domain (the codes are available from the third author), show that the CMAES algorithm is more appropriate for the practical design of length optimized FBG-based filters when compared with the other optimization methods.

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

[2]  Nam Quoc Ngo,et al.  Tabu search synthesis of cascaded fiber Bragg gratings for linear phase filters , 2004 .

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

[4]  Petros Koumoutsakos,et al.  Learning Probability Distributions in Continuous Evolutionary Algorithms - a Comparative Review , 2004, Nat. Comput..

[5]  L. Poladian,et al.  Novel fibre Bragg grating design using multiobjective evolutionary algorithms , 2004, Conference on Lasers and Electro-Optics, 2004. (CLEO)..

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

[7]  S. Baskar,et al.  Particle swarm optimization for the design of low-dispersion fiber Bragg gratings , 2005, IEEE Photonics Technology Letters.

[8]  Johannes Skaar,et al.  Design and characterization of finite-length fiber gratings , 2003 .

[9]  Johannes Skaar,et al.  Design of short fiber Bragg gratings by use of optimization. , 2004, Applied optics.

[10]  Dmitrii Stepanov,et al.  Three-step design optimization for multi-channel fibre Bragg gratings. , 2003, Optics express.

[11]  L. Poladian,et al.  Novel fibre Bragg grating design using multiobjective evolutionary algorithms , 2003, The 2003 Congress on Evolutionary Computation, 2003. CEC '03..

[12]  Cheng-Ling Lee,et al.  Optimal narrowband dispersionless fiber Bragg grating filters with short grating length and smooth dispersion profile , 2004 .

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