Weakly guiding analysis of elliptical core step index waveguides based on the characteristic numbers of Mathieu´s equation

Author

Shaw, J.K. ; Henry, W.M. ; Winfrey, W.R.

Author_Institution

Dept. of Math., Virginia Tech. Univ., Blacksburg, VA, USA

Volume

13

Issue

12

fYear

1995

fDate

12/1/1995 12:00:00 AM

Firstpage

2359

Lastpage

2371

Abstract

A new weak guidance analysis for step index elliptical core optical fibers is developed. The method shows that weakly guiding, or linearly polarized (LP), modes are determined by and correspond uniquely to the characteristic numbers of Mathieu´s equation. This is the first analysis of elliptical core weakly guiding modes which determines propagation constants and indexes modes by directly solving the underlying Mathieu´s equation through the sole use of characteristic numbers. The resulting new analysis resolves an ambiguity in the standard literature concerning the classification of weakly guiding modes

Keywords

optical fibre polarisation; optical fibre theory; refractive index; Mathieu´s equation; characteristic numbers; elliptical core step index waveguides; indexes modes; linearly polarized; propagation constants; step index elliptical core optical fibers; weakly guiding analysis; weakly guiding modes; Books; Equations; Linear approximation; Mathematics; Optical fiber polarization; Optical fibers; Optical refraction; Optical waveguides; Propagation constant; Waveguide theory;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.475576

Filename

475576