Efficient numerical method of the fiber Bragg grating synthesis

Details Efficient numerical method of the fiber Bragg grating synthesis Efficient numerical method of the fiber Bragg grating synthesis

2006-11-04

arxiv.org/abs/physics/0611039v1

Physics

Optics

18 pages, 6 figures

Scientific paper

10.1364/JOSAB.24.001451

A new 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.

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