Analyses of Whispering Gallery Modes in Circular Resonators by Transmission Line Theory

Author

Yu Pan ; Shilie Zheng ; Jinhai Zhou ; Hao Chi ; Xiaofeng Jin ; Xianmin Zhang

Author_Institution

Dept. of Inf. Sci. & Electron. Eng., Zhejiang Univ., Hangzhou, China

Volume

32

Issue

13

fYear

2014

fDate

July1, 1 2014

Firstpage

2345

Lastpage

2352

Abstract

Whispering gallery modes (WGMs) in circular resonators are investigated. Conformal transformation is used to transform circular resonators to more simplified structures. The principle of transverse resonance is utilized to calculate the resonant frequencies. Transmission line theory is applied to calculate the fields of electromagnetic waves. The resonant frequencies and field distributions in different high-Q resonators, including small resonators of several micrometers and large resonators of several millimeters in diameters, are investigated. The method provides a more efficient way to analyze the devices incorporating circular resonators.

Keywords

optical resonators; whispering gallery modes; WGM; circular resonators; conformal transformation; electromagnetic wave field; field distributions; high-Q resonators; resonant frequency; transmission line theory; transverse resonance; whispering gallery modes; Impedance; Optical ring resonators; Power transmission lines; Resonant frequency; Transmission line theory; Vectors; Circular resonators; conformal transformation; transmission line theory; whispering gallery modes (WGM);

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/JLT.2014.2324275

Filename

6824216