Simplified universal dispersion curves for graded-index planar waveguides based on the WKB method

Author

Chiang, Kin Seng

Author_Institution

Dept. of Electron. Eng., City Polytech. of Hong Kong, Kowloon, Hong Kong

Volume

13

Issue

2

fYear

1995

fDate

2/1/1995 12:00:00 AM

Firstpage

158

Lastpage

162

Abstract

A new way of normalizing the WKB equation for graded-index optical planar waveguides is presented. It is found that the normalized propagation constant for the guided mode of a waveguide depends only on a single parameter, called the normalized mode order. For each profile shape, the new normalized WKB equation allows a single universal dispersion curve to be obtained that applies to all guided modes under all operating conditions. Examples are given for a number of practical profile shapes. The present approach provides a particularly simple description of the dispersion characteristics of graded-index optical waveguides

Keywords

WKB calculations; gradient index optics; optical dispersion; optical planar waveguides; WKB method; dispersion characteristics; graded-index planar waveguides; guided mode; normalized mode order; normalized propagation constant; operating conditions; optical planar waveguides; profile shape; universal dispersion curves; Cities and towns; Equations; Optical planar waveguides; Optical refraction; Optical waveguides; Particle beam optics; Planar waveguides; Polarization; Propagation constant; Refractive index;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.365201

Filename

365201