Circular Fourier analysis of full Maxwell equations for arbitrarily shaped dielectric waveguides-application to gain factors of semiconductor laser waveguides

Author

Vassallo, Charles

Author_Institution

CNET, Lannion, France

Volume

8

Issue

11

fYear

1990

fDate

11/1/1990 12:00:00 AM

Firstpage

1723

Lastpage

1729

Abstract

A new method is proposed to derive the vectorial modes of dielectric waveguides made of an arbitrarily shaped core embedded in a homogeneous cladding. The method is based upon rigorous circular Fourier expansions for the field components and the permittivity profile. The method should be restricted to cores which are not elongated too much (in the case of rectangular cores, the ratio of sides should be between 1/4 and 4/1). The convergence properties and the accuracy are analyzed. Some results about the gain factors of optical semiconductor laser waveguides are presented for rectangular and trapezoidal cores

Keywords

Fourier analysis; Fourier transform optics; optical waveguide theory; optical waveguides; semiconductor junction lasers; accuracy; arbitrarily shaped core; arbitrarily shaped dielectric waveguides; convergence properties; field components; full Maxwell equations; gain factors; homogeneous cladding; permittivity profile; rectangular cores; rigorous circular Fourier expansions; semiconductor laser waveguides; trapezoidal cores; vectorial modes; Charge carrier processes; Convergence; Dielectrics; Maxwell equations; Optical waveguides; Permittivity; Rectangular waveguides; Semiconductor lasers; Semiconductor waveguides; Waveguide lasers;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.60572

Filename

60572