Analytical Solution of Whispering-Gallery Modes

Author(s):  
Haiyong Quan ◽  
Zhixiong Guo

Advances in MEMS/NEMS techniques have enabled high-Q whispering-gallery modes in integrated microcavities. Potential applications of optical microcavities include quantum informatics, novel micro/nano sources, dynamic filters, and micro/nanosensors. It is important to understand the intrinsic resonant modes of a cavity. In this report, we will analyze whispering-gallery modes in resonators of planar structure which is common in MEMS devices. The wave equation is solved by using the method of separation of variables with appropriate boundary conditions. Analytical formulations are established. The resonance frequencies as well as the electric field distributions in exemplary resonators are presented for a variety of whispering-gallery modes.

2007 ◽  
Vol 32 (2-3) ◽  
pp. 123-126
Author(s):  
Y.-R. Nowicki-Bringuier ◽  
J. Claudon ◽  
C. Böckler ◽  
S. Reitzenstein ◽  
M. Kamp ◽  
...  

Author(s):  
Haiyong Quan ◽  
Zhixiong (James) Guo

Laser energy transfer and molecule-radiation interaction in optical microcavity devices are characterized. The device is operated at whispering-gallery modes, and consists of a microcavity and a micro-waveguide coupled by a sub-micrometer air-gap. Emphases are placed on the influences of microcavity size and waveguide compatibility on the energy transfer and storage capability, on the interactions of foreign molecules with the evanescent radiation field surrounding a resonant microcavity. An optimal gap is found for the considered device configuration where maximum energy storage is achieved. This optimal gap is dependent on the resonance mode as well as the morphology. The Q factor increases exponentially with increasing gap and saturates as the gap approaches the optical wavelength. The influence of molecules attachment is demonstrated and the potential in molecular detection is discussed.


2019 ◽  
Vol 12 (6) ◽  
pp. 062003
Author(s):  
Mengyu Wang ◽  
Lingjun Meng ◽  
Xueying Jin ◽  
Bolin Cai ◽  
Yongchao Dong ◽  
...  

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
Naoki Okada ◽  
James B. Cole ◽  
Shigeki Yamada ◽  
Kensuke Ogawa ◽  
Yoshifumi Katayama

The finite-difference time-domain (FDTD) algorithm has been used in simulation-based designs of many optical devices, but it fails to reproduce high-Q whispering gallery modes (WGMs). On the other hand, the nonstandard (NS) FDTD algorithm can accurately compute WGMs and can be used to make simulation-based designs of WGM devices. Wavelength splitters using the coupled resonator optical waveguides (CROWs) based on WGM couplings have recently attracted attention because they are potentially ultracompact. In this paper, we design a CROW wavelength splitter using NS FDTD simulations and demonstrate high interchannel extinction ratios of over 20 dB.


Author(s):  
ZhongHao Zhou ◽  
FangJie Shu ◽  
Zhen Shen ◽  
ChunHua Dong ◽  
GuangCan Guo

2007 ◽  
Vol 15 (25) ◽  
pp. 17291 ◽  
Author(s):  
Y.-R. Nowicki-Bringuier ◽  
J. Claudon ◽  
C. Böckler ◽  
S. Reitzenstein ◽  
M. Kamp ◽  
...  

APL Photonics ◽  
2018 ◽  
Vol 3 (5) ◽  
pp. 051702 ◽  
Author(s):  
Dominik Walter Vogt ◽  
Rainer Leonhardt

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