## Efficient numerical method of the fiber Bragg grating synthesis

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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### References

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