Efficient numerical method of the fiber Bragg grating synthesis

被引:41
作者
Belai, O. V.
Frumin, L. L.
Podivilov, E. V.
Shapiro, D. A.
机构
[1] Russian Acad Sci, Siberian Branch, Inst Automat & Electrometry, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
关键词
D O I
10.1364/JOSAB.24.001451
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
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. (c) 2007 Optical Society of America.
引用
收藏
页码:1451 / 1457
页数:7
相关论文
共 24 条
[1]  
Agrawal G.P., 2002, FIBER OPTIC COMMUNIC
[2]   A numerical solution to the Gel'Fand-Levitan-Marchenko equation [J].
Ahmad, F ;
Razzaghi, M .
APPLIED MATHEMATICS AND COMPUTATION, 1998, 89 (1-3) :31-39
[3]  
Bateman H., 1953, HIGHER TRANSCENDENTA, V1
[4]   Finite Bragg grating synthesis by numerical solution of Hermitian Gel'fand-Levitan-Marchenko equations [J].
Belai, Oleg V. ;
Podivilov, Evgeny V. ;
Schwarz, Osip Ya. ;
Shapiro, David A. ;
Frumin, Leonid L. .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2006, 23 (10) :2040-2045
[5]  
BLAHUT RE, 1985, FAST ALGORITHMS DIGI
[6]   An efficient inverse scattering algorithm for the design of nonuniform fiber Bragg gratings [J].
Feced, R ;
Zervas, MN ;
Muriel, MA .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1999, 35 (08) :1105-1115
[7]   INVERSE SCATTERING - SOLUTION OF COUPLED GELFAND-LEVITAN-MARCHENKO INTEGRAL-EQUATIONS USING SUCCESSIVE KERNEL APPROXIMATIONS [J].
FRANGOS, PV ;
JAGGARD, DL .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1995, 43 (06) :547-552
[8]  
Kashyap R., 1999, FIBER BRAGG GRATINGS
[9]  
Levinson N., 1947, J MATH PHYS, V25, P261
[10]   Design of corrugated optical waveguide filters through a direct numerical solution of the coupled Gel'fand-Levitan-Marchenko integral equations [J].
Papachristos, C ;
Frangos, P .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2002, 19 (05) :1005-1012