Analysis of optical fibers with graded-index profile by a combination of modified Airy functions and WKB solutions

Author

Chung, Min-Sub ; Kim, Chang-Min

Author_Institution

Dept. of Electr. Eng., Seoul Univ., South Korea

Volume

17

Issue

12

fYear

1999

fDate

12/1/1999 12:00:00 AM

Firstpage

2534

Lastpage

2541

Abstract

An almost exact eigenvalue equation for optical fibers with graded-index profile is derived mathematically based on a combination of the modified Airy functions and the Wentzel, Kramers, Brillouin (WKB) trial solution. By applying proper boundary conditions, a phase shift correction term δ is found out which improves the inherent error problems of the conventional WKB method. It is shown through computer simulations that results of the derived eigenvalue equation are in excellent agreement with those of the finite-element method

Keywords

WKB calculations; eigenvalues and eigenfunctions; gradient index optics; optical fibre theory; WKB solutions; WKB trial solution; Wentzel Kramers Brillouin trial solution; computer simulations; conventional WKB method; eigenvalue equation; exact eigenvalue equation; finite-element method; graded-index profile; inherent error problems; modified Airy functions; optical fiber analysis; phase shift correction term; proper boundary conditions; Boundary conditions; Eigenvalues and eigenfunctions; Equations; Error correction; Finite element methods; Mathematical analysis; Optical fiber communication; Optical fiber dispersion; Optical fibers; Turning;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.809674

Filename

809674