Rigorous finite-difference analysis of coupled channel waveguides with arbitrarily varying index profile

Author

Schulz, Norbert ; Bierwirth, K. ; Arndt, F. ; Köster, Uwe

Author_Institution

Microwave Dept., Bremen Univ., Germany

Volume

9

Issue

10

fYear

1991

fDate

10/1/1991 12:00:00 AM

Firstpage

1244

Lastpage

1253

Abstract

A rigorous finite-difference formulation for the hybrid-mode analysis of coupled diffused dielectric channel waveguides is presented. The method includes the two-dimensional continuous index profile variations directly in the finite-difference form of coupled equations and avoids the shortcomings inherent in the usual staircase approximations. The formulation in terms of the wave equation for the transverse components of the magnetic field leads to an eigenvalue problem where the nonphysical, spurious modes do not appear. The analysis includes the complete set of hybrid-modes, takes mode-conversion effects and complex waves into account, if they exist, and allows the calculation of dielectric channel waveguides with large index difference levels. Dispersion characteristic examples are calculated for coupled structures suitable for optical integrated circuits. The theory verified by comparison with results available from other methods

Keywords

difference equations; eigenvalues and eigenfunctions; integrated optics; optical waveguide theory; refractive index; 2D; arbitrarily varying index profile; complex waves; continuous index profile variations; coupled channel waveguides; coupled equations; diffused dielectric channel waveguides; dispersion characteristics; eigenvalue problem; finite-difference analysis; hybrid-mode analysis; large index difference levels; magnetic field; mode-conversion effects; optical integrated circuits; refractive index; transverse components; wave equation; Coupling circuits; Dielectrics; Eigenvalues and eigenfunctions; Finite difference methods; Magnetic analysis; Magnetic fields; Optical coupling; Optical waveguide theory; Optical waveguides; Partial differential equations;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.90922

Filename

90922