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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. 18, Iss. 3 — Mar. 1, 2001
  • pp: 557–564

Synthesis of fiber Bragg gratings for use in transmission

Johannes Skaar  »View Author Affiliations


JOSA A, Vol. 18, Issue 3, pp. 557-564 (2001)
http://dx.doi.org/10.1364/JOSAA.18.000557


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Abstract

A method for designing fiber Bragg gratings with desired complex transmission coefficients is proposed. The transmission coefficient of a fiber grating satisfies the minimum-phase condition when the linear phase from the pure propagation is ignored. Therefore only a finite bandwidth is considered for the synthesis. The algorithm is based on a result of Krein and Nudel’man [Prob. Peredachi Inf. 11, 37 (1975)]. A numerical algorithm is developed, and by numerical examples it is demonstrated that it is possible to realize gratings with specified complex transmission responses inside the considered bandwidth. The method is also applicable for thin-film filters.

© 2001 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(060.2340) Fiber optics and optical communications : Fiber optics components

History
Original Manuscript: June 29, 2000
Revised Manuscript: October 10, 2000
Manuscript Accepted: October 10, 2000
Published: March 1, 2001

Citation
Johannes Skaar, "Synthesis of fiber Bragg gratings for use in transmission," J. Opt. Soc. Am. A 18, 557-564 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-3-557

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