title: Synthesis of fiber Bragg grating parameters from experimental reflectivity: a simplex approach and its application to the determination of temperature-dependent properties.
abstract: A simple, accurate, and fast method to synthesize the physical parameters of a fiber Bragg grating numerically from its reflectivity is proposed and demonstrated. Our program uses the transfer matrix method and is based on a Nelder-Mead simplex optimization algorithm. It can be applied to both uniform and nonuniform (apodized and chirped) fiber Bragg gratings. The method is then used to synthesize a uniform Bragg grating from its reflectivity taken at different temperatures. It gives a good estimate of the thermal expansion coefficient and the thermo-optic coefficient of the fiber.
authors.affiliation: Faculté Polytechnique de Mons, B-7000 Mons, Belgium.
authors.forename: Frederic
authors.initials: F
authors.lastname: Lhommé
authors.forename: Christophe
authors.initials: C
authors.lastname: Caucheteur
authors.forename: Karima
authors.initials: K
authors.lastname: Chah
authors.forename: Michel
authors.initials: M
authors.lastname: Blondel
authors.forename: Patrice
authors.initials: P
authors.lastname: Mégret