Abstract

We develop a novel method that enables one to reconstruct the structure of highly reflecting fiber Bragg gratings from noisy reflection spectra. When the reflection spectrum is noisy and the grating reflectivity is high, noise in the Bragg zone of the reflection spectrum is amplified by the inverse scattering algorithms and prevents the reconstruction of the grating. Our method is based on regularizing the reflection spectrum in frequencies inside the Bragg zone by using the data on the grating spectrum outside the Bragg zone. The regularized reflection spectrum is used to reconstruct the grating structure by means of inverse scattering. Our method enables one to analyze gratings with a high reflectivity from a spectrum that contains a high level of noise. Such gratings could not be analyzed by using methods described in previous work [IEEE J. Quantum Electron. 39, 1238 (2003)].

© 2005 Optical Society of America

Reconstruction of gratings from noisy reflection data

Johannes Skaar and Ricardo Feced
J. Opt. Soc. Am. A 19(11) 2229-2237 (2002)

Experimental reconstruction of a highly reflecting fiber Bragg grating by using spectral regularization and inverse scattering

Amir Rosenthal, Moshe Horowitz, Sven Kieckbusch, and Ernst Brinkmeyer
J. Opt. Soc. Am. A 24(10) 3284-3288 (2007)

Inverse scattering algorithm for reconstructing lossy fiber Bragg gratings

Amir Rosenthal and Moshe Horowitz
J. Opt. Soc. Am. A 21(4) 552-560 (2004)

Phase reconstruction from reflectivity in fiber Bragg gratings

Johannes Skaar and Helge E. Engan
Opt. Lett. 24(3) 136-138 (1999)

Synthesis of fiber Bragg grating parameters from experimental reflectivity: a simplex approach and its application to the determination of temperature-dependent properties

Frédéric Lhommé, Christophe Caucheteur, Karima Chah, Michel Blondel, and Patrice Mégret
Appl. Opt. 44(4) 493-497 (2005)