Explicit formulas of normalized radiation modes in multilayer waveguides

Author

Lee, San-Liang ; Mui, David S.L. ; Coldren, Larry A.

Author_Institution

Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA

Volume

12

Issue

12

fYear

1994

fDate

12/1/1994 12:00:00 AM

Firstpage

2073

Lastpage

2079

Abstract

A new formulation for the normalization of radiation modes in one-dimensional lossless multilayer waveguide structures is derived using the transmission matrix method. In this formulation, an individual radiation mode is excited by two sources located at opposite ends of the two outermost regions of the waveguide. Proper choice of the absolute phase of one of the sources results in simple expressions for the normalized radiation modes. Calculation of radiation loss of grating-assisted directional couplers is used as an example to show the simplicity and usefulness of this method

Keywords

diffraction gratings; integrated optics; matrix algebra; optical directional couplers; optical films; optical losses; absolute phase; explicit formulas; grating-assisted directional couplers; individual radiation mode excition; multilayer waveguides; normalized radiation modes; one-dimensional lossless multilayer waveguide structures; outermost regions; radiation loss; transmission matrix method; Directional couplers; Electromagnetic fields; Electromagnetic waveguides; Equations; Gratings; Matrix decomposition; Nonhomogeneous media; Propagation losses; Transmission line matrix methods; Wave functions;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.350625

Filename

350625