Coupled-mode theory of optical waveguides

Author

Haus, H.A. ; Huang, W.-P. ; Kawakami, S. ; Whitaker, N.A.

Author_Institution

Massaschusetts Institute of Technology, Cambridge, MA, USA

Volume

5

Issue

1

fYear

1987

fDate

1/1/1987 12:00:00 AM

Firstpage

16

Lastpage

23

Abstract

The coupled-mode theory of parallel waveguides is derived from a variational principle for the propagation constant of the waveguide-wave solution using a superposition of the uncoupled modes as a trial field. The nonorthogonality of modes as emphasized by Hardy and Streifer is part of this formalism as well. The coupling Coefficients agree with those of Hardy and Streifer derived for TE modes of loss-free guides. For TM modes the coupling coefficients differ slightly for the simpler trial solution and agree exactly for a different trial solution. The simpler trial solution gives results closer to the exact solution. Conventional coupled-mode theory emerges from orthonormalization.

Keywords

Coupled mode analysis; Coupled transmission lines; Optical planar waveguides; Optical waveguides; Planar optical waveguide; Variational methods; Electromagnetic analysis; Electromagnetic coupling; Electromagnetic waveguides; Electron beams; Electron optics; Electron tubes; Optical coupling; Optical waveguide theory; Optical waveguides; Propagation constant;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/JLT.1987.1075416

Filename

1075416