Title :
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
fDate :
12/1/1999 12:00:00 AM
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;
Journal_Title :
Lightwave Technology, Journal of
