Finite Bragg grating synthesis by numerical solution of Hermitian Gel'fand-Levitan-Marchenko equations

被引：8
作者：
Belai, Oleg V.
Podivilov, Evgeny V.
Schwarz, Osip Ya.
Shapiro, David A.
Frumin, Leonid L.
机构：
[1] Russian Acad Sci, Siberian Branch, Inst Automat & Electrometry, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
来源：
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS | 2006年 / 23卷 / 10期
关键词：
D O I：
10.1364/JOSAB.23.002040
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We examine the problem of fiber Bragg grating reconstruction from its reflection coefficient. A direct numerical method of solving the Gel'fand-Levitan-Marchenko integral equations for the problem is developed. The method is based on a bordering procedure, Cholesky decomposition, and piecewise-linear approximation. It is tested using high-reflectance homogeneous and hyperbolic secant profiles. The proposed method is shown to concede the popular discrete layer peeling technique in efficiency but surpasses it in accuracy and stability at high reflectance. (c) 2006 Optical Society of America.
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收藏
页码：2040 / 2045
页数：6
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