Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Finite Bragg grating synthesis by numerical solution of Hermitian Gel’fand–Levitan–Marchenko equations

Not Accessible

Your library or personal account may give you access

Abstract

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.

© 2006 Optical Society of America

Full Article  |  PDF Article
More Like This
Efficient numerical method of the fiber Bragg grating synthesis

O. V. Belai, L. L. Frumin, E. V. Podivilov, and D. A. Shapiro
J. Opt. Soc. Am. B 24(7) 1451-1457 (2007)

High-reflectivity fiber-optic bandpass filter designed by use of the iterative solution to the Gel’fand–Levitan–Marchenko equations

J. Skaar, B. Sahlgren, P.-Y. Fonjallaz, H. Storøy, and R. Stubbe
Opt. Lett. 23(12) 933-935 (1998)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (38)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved