DocumentCode :
1505219
Title :
Determination of guided and leaky modes in lossless and lossy planar multilayer optical waveguides: reflection pole method and wavevector density method
Author :
Anemogiannis, Emmanuel ; Glytsis, Elias N. ; Gaylord, Thomas K.
Author_Institution :
Microelectron. Res. Center, Georgia Inst. of Technol., Atlanta, GA, USA
Volume :
17
Issue :
5
fYear :
1999
fDate :
5/1/1999 12:00:00 AM
Firstpage :
929
Lastpage :
941
Abstract :
Two numerical methods, the reflection pole method (RPM) and the wavevector density method (WDM), are introduced for determining the propagation constants of guided and leaky modes in lossless and lossy planar multilayer waveguides. These methods are based on the extraction of propagation constants from Lorentzian-type peaks of the reflection coefficient (RPM) or on the density of wavevectors of the structure (WDM). Furthermore, in the case of the RPM the propagation constants can be determined with the help of the phase variation of the denominator of the reflection coefficient in conjunction with an optimization procedure. Both methods are tested on numerically “challenging” multilayer waveguides such as a two-metal-layer waveguide, a multilayer lossy waveguide, and an ARROW waveguide. The results produced by both methods are in good agreement with other numerical techniques but are obtained without the need for solving a dispersion equation in the complex plane. In addition, an approximate but easily implementable method is proposed which verifies whether a cluster of radiation modes can be accurately represented by a single leaky mode
Keywords :
optical losses; optical multilayers; optical planar waveguides; optical waveguide theory; optimisation; reflectivity; ARROW waveguide; Lorentzian-type peaks; complex plane; dispersion equation; guided modes; leaky modes; lossless planar multilayer optical waveguides; lossy planar multilayer optical waveguides; multilayer waveguides; numerical methods; optimization procedure; propagation constants; radiation modes cluster; reflection coefficient; reflection pole method; single leaky mode; two-metal-layer waveguide; wavevector density method; Nonhomogeneous media; Optical filters; Optical losses; Optical planar waveguides; Optical reflection; Optical waveguides; Planar waveguides; Propagation constant; Propagation losses; Semiconductor waveguides;
fLanguage :
English
Journal_Title :
Lightwave Technology, Journal of
Publisher :
ieee
ISSN :
0733-8724
Type :
jour
DOI :
10.1109/50.762914
Filename :
762914
Link To Document :
بازگشت