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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 19, Iss. 9 — Sep. 1, 2002
  • pp: 1855–1866

Optical fiber Bragg gratings. Part II. Modeling of finite-length gratings and grating arrays

Vittorio M. N. Passaro, Roberto Diana, and Mario N. Armenise  »View Author Affiliations


JOSA A, Vol. 19, Issue 9, pp. 1855-1866 (2002)
http://dx.doi.org/10.1364/JOSAA.19.001855


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Abstract

A model of both uniform finite-length optical fiber Bragg gratings and grating arrays is presented. The model is based on the Floquet–Bloch formalism and allows rigorous investigation of all the physical aspects in either single- or multiple-periodic structures realized on the core of a monomodal fiber. Analytical expressions of reflectivity and transmittivity for both single gratings and grating arrays are derived. The influence of the grating length and the index modulation amplitude on the reflected and transmitted optical power for both sinusoidal and rectangular profiles is evaluated. Good agreement between our method and the well-known coupled-mode theory (CMT) approach has been observed for both single gratings and grating arrays only in the case of weak index perturbation. Significant discrepancies exist there in cases of strong index contrast because of the increasing approximation of the CMT approach. The effects of intragrating phase shift are also shown and discussed.

© 2002 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(050.2770) Diffraction and gratings : Gratings
(060.2310) Fiber optics and optical communications : Fiber optics
(060.2340) Fiber optics and optical communications : Fiber optics components
(060.2370) Fiber optics and optical communications : Fiber optics sensors

Citation
Vittorio M. N. Passaro, Roberto Diana, and Mario N. Armenise, "Optical fiber Bragg gratings. Part II. Modeling of finite-length gratings and grating arrays," J. Opt. Soc. Am. A 19, 1855-1866 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-9-1855

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