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

被引：3
作者：
Pan, Yu [1 ]
Zheng, Shilie [1 ]
Zhou, Jinhai [1 ]
Chi, Hao [1 ]
Jin, Xiaofeng [1 ]
Zhang, Xianmin [1 ]
机构：
[1] Zhejiang Univ, Dept Informat Sci & Elect Engn, Hangzhou 310027, Zhejiang, Peoples R China
来源：
JOURNAL OF LIGHTWAVE TECHNOLOGY | 2014年 / 32卷 / 13期
关键词：
Circular resonators; conformal transformation; transmission line theory; whispering gallery modes (WGM);
D O I：
10.1109/JLT.2014.2324275
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
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.
引用
收藏
页码：2345 / 2352
页数：8
相关论文
共 17 条
[1]   Whispering gallery modes in a dielectric resonator: Characterization at millimeter wavelength [J].
Annino, G ;
Cassettari, M ;
Longo, I ;
Martinelli, M .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1997, 45 (11) :2025-2034
[2]   WKB analysis of bend losses in optical waveguides [J].
Berglund, W ;
Gopinath, A .
JOURNAL OF LIGHTWAVE TECHNOLOGY, 2000, 18 (08) :1161-1166
[3]   Microphotonic millimetre-wave receiver architecture [J].
Cohen, DA ;
Levi, AFJ .
ELECTRONICS LETTERS, 2001, 37 (01) :37-39
[4]   FDTD microcavity simulations: Design and experimental realization of waveguide-coupled single-mode ring and whispering-gallery-mode disk resonators [J].
Hagness, SC ;
Rafizadeh, D ;
Ho, ST ;
Taflove, A .
JOURNAL OF LIGHTWAVE TECHNOLOGY, 1997, 15 (11) :2154-2165
[5]   ANALYSIS OF CURVED OPTICAL-WAVEGUIDES BY CONFORMAL TRANSFORMATION [J].
HEIBLUM, M ;
HARRIS, JH .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1975, QE11 (02) :75-83
[6]   Low-threshold parametric nonlinear optics with quasi-phase-matched whispering-gallery modes [J].
Ilchenko, VS ;
Matsko, AB ;
Savchenkov, AA ;
Maleki, L .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2003, 20 (06) :1304-1308
[7]  
Kong J. A., 2008, Electromagnetic Wave Theory
[8]   Whispering-gallery-mode-resonator-based ultranarrow linewidth external-cavity semiconductor laser [J].
Liang, W. ;
Ilchenko, V. S. ;
Savchenkov, A. A. ;
Matsko, A. B. ;
Seidel, D. ;
Maleki, L. .
OPTICS LETTERS, 2010, 35 (16) :2822-2824
[9]   Microring resonator channel dropping filters [J].
Little, BE ;
Chu, ST ;
Haus, HA ;
Foresi, J ;
Laine, JP .
JOURNAL OF LIGHTWAVE TECHNOLOGY, 1997, 15 (06) :998-1005
[10]   Analytic theory of coupling from tapered fibers and half-blocks into microsphere resonators [J].
Little, BE ;
Laine, JP ;
Haus, HA .
JOURNAL OF LIGHTWAVE TECHNOLOGY, 1999, 17 (04) :704-715
12