Leaky modes of circular slab waveguides: modified Airy functions

Author

Kim, Chang-Min ; Kim, Young-Moon ; Kim, Woo-Kyung

Author_Institution

Dept. of Electr. Eng., Univ. of Seoul, South Korea

Volume

8

Issue

6

fYear

2002

Firstpage

1239

Lastpage

1245

Abstract

Circular slab waveguides are conformally mapped into straight waveguides. In the outer cladding region with monotonously increasing index profile, modified Airy functions of traveling-wave form are introduced to express the leaky mode. Field distributions and losses calculated by the proposed method are compared with those obtained by the Wentzel-Kramers-Brillouin method.

Keywords

WKB calculations; bending; circular waveguides; conformal mapping; eigenvalues and eigenfunctions; integrated optics; optical losses; optical waveguide theory; refractive index; Wentzel-Kramers-Brillouin method; bending loss; circular slab waveguides; conformal mapping; eigenvalue equations; equivalent index profile; field distributions; integrated optics; leaky modes; losses; modified Airy functions; monotonously increasing index profile; outer cladding region; straight waveguides; traveling-wave form Airy functions; Conformal mapping; Fourier transforms; Integrated optics; Optical losses; Optical waveguide theory; Optical waveguides; Partial differential equations; Planar waveguides; Slabs; Turning;

fLanguage

English

Journal_Title

Selected Topics in Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

1077-260X

Type

jour

DOI

10.1109/JSTQE.2002.806671

Filename

1176666