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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 8 — Apr. 22, 2013
  • pp: 9982–9995

Theory of free space coupling to high-Q whispering gallery modes

Chang-Ling Zou, Fang-Jie Shu, Fang-Wen Sun, Zhao-Jun Gong, Zheng-Fu Han, and Guang-Can Guo  »View Author Affiliations

Optics Express, Vol. 21, Issue 8, pp. 9982-9995 (2013)

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Theoretical study of free space coupling to high-Q whispering gallery modes (WGMs) are presented in circular and deformed microcavities. Both analytical solutions and asymptotic formulas are derived for a circular cavity. The coupling efficiencies at different coupling regimes for cylindrical incoming wave are discussed, and the maximum efficiency is estimated for the practical Gaussian beam excitation. In the case of a deformed cavity, the coupling efficiency can be higher than the circular cavity if the excitation beam can match the intrinsic emission which can be tuned by adjusting the degree of deformation. Employing an abstract model of slightly deformed cavity, we find that the asymmetric and peak like line shapes instead of the Lorentz-shape dip are universal in transmission spectra due to multi-wave interference, and the coupling efficiency cannot be estimated from the absolute depth of the dip. Our results provide guidelines for free space coupling in experiments, suggesting that the high-Q asymmetric resonator cavities (ARCs) can be efficiently excited through free space which will stimulate further experiments and applications of WGMs based on free space coupling.

© 2013 OSA

OCIS Codes
(000.3860) General : Mathematical methods in physics
(230.5750) Optical devices : Resonators
(140.3945) Lasers and laser optics : Microcavities

ToC Category:
Optical Devices

Original Manuscript: February 5, 2013
Revised Manuscript: March 28, 2013
Manuscript Accepted: April 3, 2013
Published: April 15, 2013

Chang-Ling Zou, Fang-Jie Shu, Fang-Wen Sun, Zhao-Jun Gong, Zheng-Fu Han, and Guang-Can Guo, "Theory of free space coupling to high-Q whispering gallery modes," Opt. Express 21, 9982-9995 (2013)

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