Eigenvalue equations of N-parallel graded-index waveguides: WKB analysis

Author

Kim, Chang-Min ; Chung, Min-Sub

Author_Institution

Dept. of Electron. Eng., Seoul City Univ., South Korea

Volume

33

Issue

9

fYear

1997

fDate

9/1/1997 12:00:00 AM

Firstpage

1608

Lastpage

1613

Abstract

The eigenvalue equations of N-parallel graded-index waveguides are derived in a recursive form for the first time by using the WKB method and the transfer matrix method. For the derivation, trial solutions are defined which not only converge at turning points but also approximate the conventional WKB solutions. It is confirmed through the computer simulation that the results of the derived WKB eigenvalue equations are in good agreement with those of the finite-difference method in the well-guided regions

Keywords

WKB calculations; eigenvalues and eigenfunctions; gradient index optics; optical waveguide theory; optical waveguides; recursive estimation; N-parallel graded-index waveguides; WKB analysis; WKB eigenvalue equations; computer simulation; eigenvalue equations; finite-difference method; recursive form; transfer matrix method; trial solutions; well-guided regions; Boundary conditions; Computer simulation; Eigenvalues and eigenfunctions; Equations; Finite difference methods; Optical arrays; Optical waveguides; Refractive index; Transmission line matrix methods; Turning;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.622643

Filename

622643