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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 7 — Jul. 1, 2007
  • pp: 1451–1457

Efficient numerical method of the fiber Bragg grating synthesis

O. V. Belai, L. L. Frumin, E. V. Podivilov, and D. A. Shapiro  »View Author Affiliations


JOSA B, Vol. 24, Issue 7, pp. 1451-1457 (2007)
http://dx.doi.org/10.1364/JOSAB.24.001451


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Abstract

A numerical method is developed for solution of the Gel’fand–Levitan–Marchenko inverse scattering integral equations. The method is based on the fast inversion procedure of a Toeplitz–Hermitian matrix and special bordering technique. The method is highly competitive with the known discrete layer peeling method in speed and exceeds it noticeably in accuracy at high reflectance.

© 2007 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(050.2770) Diffraction and gratings : Gratings
(060.2430) Fiber optics and optical communications : Fibers, single-mode

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: November 14, 2006
Revised Manuscript: March 12, 2007
Manuscript Accepted: March 18, 2007
Published: June 15, 2007

Citation
O. V. Belai, L. L. Frumin, E. V. Podivilov, and D. A. Shapiro, "Efficient numerical method of the fiber Bragg grating synthesis," J. Opt. Soc. Am. B 24, 1451-1457 (2007)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-24-7-1451

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