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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 20 — Oct. 7, 2013
  • pp: 24240–24253

Semiclassical evaluation of frequency splittings in coupled optical microdisks

Jeong-Bo Shim and Jan Wiersig  »View Author Affiliations


Optics Express, Vol. 21, Issue 20, pp. 24240-24253 (2013)
http://dx.doi.org/10.1364/OE.21.024240


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Abstract

When two microdisks are placed close to each other and the evanescent fields of their whispering gallery modes are overlapped, a strong coupling can be induced in the modes and lead to a doublet state. We attempt to evaluate the frequency splittings of the doublets by applying a semiclassical analysis in the regime of small wavelengths. Since a whispering gallery mode in a microdisk is a leaky mode, an established semiclassical method that deals with coupled closed systems is modified. As a result, we attain an analytic formula which can conveniently compute the frequency splittings of coupled whispering gallery modes. The derived formula is verified by demostrating a perfect agreement with numerical solutions of Maxwell’s equations.

© 2013 OSA

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(130.3120) Integrated optics : Integrated optics devices
(140.4780) Lasers and laser optics : Optical resonators
(140.5960) Lasers and laser optics : Semiconductor lasers
(080.1753) Geometric optics : Computation methods
(080.7343) Geometric optics : Wave dressing of rays

ToC Category:
Integrated Optics

History
Original Manuscript: June 24, 2013
Revised Manuscript: August 16, 2013
Manuscript Accepted: August 28, 2013
Published: October 3, 2013

Citation
Jeong-Bo Shim and Jan Wiersig, "Semiclassical evaluation of frequency splittings in coupled optical microdisks," Opt. Express 21, 24240-24253 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-20-24240


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