Integral equation analysis of microring and microdisk coupled-resonator optical waveguides

Author

Chremmos, Ioannis ; Uzunoglu, Nikolaos

Author_Institution

Dept. of Electr. & Comput. Eng., Nat. Tech. Univ. of Athens

Volume

18

Issue

10

fYear

2006

fDate

5/1/2006 12:00:00 AM

Firstpage

1173

Lastpage

1175

Abstract

We present a rigorous integral equation (IE) method for analyzing propagation in microring and microdisk coupled-resonator optical waveguides (MR/MD-CROWs). The approach is based on Green´s theorem to formulate the IE for the axial field component and the Galerkin technique to obtain a homogeneous linear system between the expansion coefficients of the resonator field in terms of cylindrical wave functions. The CROW propagation constants are determined by the nontrivial solutions of the system. TE and TM polarizations are treated in parallel. Examples for single-mode MR and whispering gallery mode (WGM) MD-CROWs are presented, including coupling with WGMs of higher radial order

Keywords

Galerkin method; Green´s function methods; integral equations; micro-optics; microcavities; optical resonators; optical waveguide theory; wave functions; whispering gallery modes; Galerkin technique; Green theorem; TE polarization; TM polarization; axial field component; cylindrical wave functions; expansion coefficients; homogeneous linear system; integral equation; integral equation analysis; microdisk coupled resonator optical waveguides; microring coupled resonator optical waveguides; optical waveguide propagation; propagation constants; resonator field; whispering gallery mode; Integral equations; Linear systems; Optical coupling; Optical propagation; Optical resonators; Optical waveguide theory; Optical waveguides; Propagation constant; Tellurium; Wave functions; Integral equations (IEs); microresonators; optical waveguides; periodic structures;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/LPT.2006.874685

Filename

1629119