Eigenmodes of multiwaveguide structures

Author

Lenz, Gadi ; Salzman, Joseph

Author_Institution

Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel

Volume

8

Issue

12

fYear

1990

fDate

12/1/1990 12:00:00 AM

Firstpage

1803

Lastpage

1809

Abstract

Finite periodic structures for multichannel waveguiding are analyzed by self-consistent field matching at the interfaces and matrix formalism for lateral propagation. The characteristic eigenvalue equation for a symmetric system with N coupled slab waveguides is shown to be of the same functional form as that of a single-slab waveguide. The eigenmodes of the system are exactly calculated and compared to the approximate results of coupled mode theory. Basic features of multiwaveguide structures not derivable from the coupled-mode theory (CMT) are uncovered by rigorous formulation and solutions. More complicated structures are solved, and ways of mode shaping and mode filtering are suggested

Keywords

eigenvalues and eigenfunctions; integrated optics; matrix algebra; optical waveguide theory; coupled slab waveguides; eigenvalue equation; finite periodic waveguiding structures eigenmodes; functional form; interfaces; lateral propagation; matrix formalism; mode filtering; mode shaping; multichannel waveguiding; multiwaveguide structures; self-consistent field matching; symmetric system; Equations; Optical arrays; Optical devices; Optical filters; Optical propagation; Periodic structures; Phased arrays; Propagation constant; Refractive index; Semiconductor laser arrays;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.62874

Filename

62874