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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry Van Driel
  • Vol. 26, Iss. 7 — Jul. 1, 2009
  • pp: 1321–1329

Resonance shifts of counterpropagating whispering-gallery modes: degenerate perturbation theory and application to resonator sensors with axial symmetry

Iwao Teraoka and Stephen Arnold  »View Author Affiliations


JOSA B, Vol. 26, Issue 7, pp. 1321-1329 (2009)
http://dx.doi.org/10.1364/JOSAB.26.001321


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Abstract

A theory is presented that considers the resonance shift of degenerate whispering-gallery modes (WGMs) in sensor applications. The theory is then applied to a pair of counterpropagating waves in a spheroidal resonator. Adsorption of a particle lifts the twofold degeneracy, resulting in a pair of standing waves with a symmetric field around the particle, a standing symmetric wave (SSW) and an antisymmetric wave (ASW). The shift for a SSW is twice as large as the one for a nondegenerate WGM when the particle radius is sufficiently smaller than the wavelength, whereas the shift for an ASW is nearly zero. The ratio of the split to the mean shift gives an estimate of the particle size, whereas the mean shift is sensitive to its polarizability. With an increasing particle radius, the ratio of the split to the mean shift decreases. There is a particle radius that maximizes the split.

© 2009 Optical Society of America

OCIS Codes
(170.4520) Medical optics and biotechnology : Optical confinement and manipulation
(260.2110) Physical optics : Electromagnetic optics
(300.6490) Spectroscopy : Spectroscopy, surface

ToC Category:
Physical Optics

History
Original Manuscript: January 9, 2009
Manuscript Accepted: February 10, 2009
Published: June 12, 2009

Virtual Issues
Vol. 4, Iss. 9 Virtual Journal for Biomedical Optics

Citation
Iwao Teraoka and Stephen Arnold, "Resonance shifts of counterpropagating whispering-gallery modes: degenerate perturbation theory and application to resonator sensors with axial symmetry," J. Opt. Soc. Am. B 26, 1321-1329 (2009)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-26-7-1321


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References

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