A new iterative technique to characterize and design transmission fiber Bragg gratings

The authors present an iterative algorithm to recover the whole complex spectrum of any transmission fiber Bragg grating (FBG) from only the information of either its group-delay spectrum or its magnitude spectrum. Both numerical simulations and experimental results confirm that this simple algorithm is fast and accurate. This technique is especially useful for the practical design and characterization of transmission FBGs with desired spectral features.

[1]  Iterative scheme for the "mixed" scattering problems , 2003 .

[2]  A. Oppenheim,et al.  Iterative techniques for minimum phase signal reconstruction from phase or magnitude , 1980 .

[3]  C. C. Yang,et al.  Reconstruction of fiber grating refractive-index profiles from complex bragg reflection spectra. , 1999, Applied optics.

[4]  J R Fienup,et al.  Reconstruction of an object from the modulus of its Fourier transform. , 1978, Optics letters.

[5]  L. Poladian,et al.  Group-delay reconstruction for fiber Bragg gratings in ref lection and transmission. , 1997, Optics letters.

[6]  J Skaar.  Measuring the group delay of fiber Bragg gratings by use of end-reflection interference. , 1999, Optics letters.

[7]  Johannes Skaar.  Synthesis of fiber Bragg gratings for use in transmission , 2001 .

[8]  Johannes Skaar.  Distributed intragrating sensing using phase retrieval , 1999, International Conference on Optical Fibre Sensors.

[9]  R. Gerchberg.  A practical algorithm for the determination of phase from image and diffraction plane pictures , 1972 .

[10]  Alexander V. Buryak,et al.  Optimization of refractive index sampling for multichannel fiber Bragg gratings , 2003 .

[11]  R. Kashyap.  Fiber Bragg Gratings , 1999 .

[12]  Miguel A. Muriel,et al.  Phase reconstruction from reflectivity in fiber Bragg gratings , 1997 .

[13]  Michel J. F. Digonnet,et al.  Group delay recovery using iterative processing of amplitude of transmission spectra of fibre Bragg gratings , 2004 .

[15]  P. Lambelet,et al.  Bragg grating characterization by optical low-coherence reflectometry , 1993, IEEE Photonics Technology Letters.

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

[17]  A Ozcan,et al.  Iterative processing of second-order optical nonlinearity depth profiles. , 2004, Optics express.

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

[19]  Kyriacos Kalli,et al.  Fiber Bragg Gratings: Fundamentals and Applications in Telecommunications and Sensing , 2000 .

[20]  M A Muriel,et al.  Phase reconstruction from reflectivity in uniform fiber Bragg gratings. , 1997, Optics letters.