A general transform for regularizing planar open waveguide dispersion relation

Author

Bakhtazad, Aref ; Abiri, Habibollah ; Ghayour, R.

Author_Institution

Dept. of Electr. Eng., Shiraz Univ., Iran

Volume

15

Issue

2

fYear

1997

fDate

2/1/1997 12:00:00 AM

Firstpage

383

Lastpage

390

Abstract

Recently, conformal mapping technique has been introduced to unfold the characteristic equation of multilayered dielectric waveguides. The previous transformations have various deficiencies, i.e., the corresponding transformed functions are either multivalued, or have a singular point. Also one of them is not generally applicable. We introduce a new mapping that has none of the above deficiencies. Furthermore, in the new plane, the modal zones are rectangular strips which facilitate the implementation of the corresponding numerical routines. By this transformation, various modes of general planar dielectric waveguides can be traced easily

Keywords

dielectric waveguides; matrix algebra; optical films; optical planar waveguides; optical waveguide theory; transforms; characteristic equation; conformal mapping technique; general transform; modal zones; multilayered dielectric waveguides; multivalued; numerical routines; planar dielectric waveguide mode tracing; rectangular strips; regularizing planar open waveguide dispersion relation; singular point; transformed functions; Conformal mapping; Dielectric substrates; Differential equations; Dispersion; Planar waveguides; Propagation constant; Slabs; Strips; Transforms; Transmission line matrix methods;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.554392

Filename

554392