OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 8 — Mar. 10, 2012
  • pp: 1101–1108

Resonance shifts of transverse-electric whispering gallery modes in a spheroidal resonator

Iwao Teraoka  »View Author Affiliations

Applied Optics, Vol. 51, Issue 8, pp. 1101-1108 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (259 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A variational method was applied to find the wave function of a transverse-electric whispering gallery mode (WGM) in a spheroidal resonator of a uniform refractive index (RI). It was found that the electric field is tangential to the resonator surface as in the sphere, up to the linear order of the ellipticity. Using the wave function, the resonance shift due to adsorption of a thin, uniform dielectric layer onto the surface and the shift by a uniform RI change in the surroundings were evaluated in the perturbation theory. The shift by the RI change is not affected by the ellipticity, but the shift by the layer adsorption now depends on the meridional order. However, the correction is not large unless the ellipticity is large and the meridional order is away from the one for the equatorial mode of WGM.

© 2012 Optical Society of America

OCIS Codes
(170.4520) Medical optics and biotechnology : Optical confinement and manipulation
(230.5750) Optical devices : Resonators
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Medical Optics and Biotechnology

Original Manuscript: September 28, 2011
Revised Manuscript: December 20, 2011
Manuscript Accepted: December 23, 2011
Published: March 7, 2012

Iwao Teraoka, "Resonance shifts of transverse-electric whispering gallery modes in a spheroidal resonator," Appl. Opt. 51, 1101-1108 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. Noto, D. Keng, I. Teraoka, and S. Arnold, “Detection of protein orientation on the silica microsphere surface using transverse electric/transverse magnetic whispering gallery modes,” Biophys. J. 92, 4466–4472 (2007). [CrossRef]
  2. X. Fan, I. M. White, S. I. Shopova, H. Zhu, J. D. Suter, and Y. Sun, “Sensitive optical biosensors for unlabeled targets: a review,” Anal. Chim. Acta 620, 8–26 (2008). [CrossRef]
  3. I. Teraoka, S. Arnold, and F. Vollmer, “Perturbation approach to resonance shifts of whispering-gallery modes in a dielectric microsphere as a probe of a surrounding medium,” J. Opt. Soc. Am. B 20, 1937–1946 (2003). [CrossRef]
  4. I. Teraoka and S. Arnold, “Theory on resonance shifts in TE and TM whispering gallery modes by non-radial perturbations for sensing applications,” J. Opt. Soc. Am. B 23, 1381–1389 (2006). [CrossRef]
  5. B. R. Johnson, “Theory of morphology-dependent resonances: shape resonances and width formulas,” J. Opt. Soc. Am. A 10, 343–352 (1993). [CrossRef]
  6. H. M. Lai, P. T. Leung, K. Young, P. W. Barber, and S. C. Hill, “Time-independent perturbation for leaking electromagnetic modes in open systems with applications to resonances in microdroplets,” Phys. Rev. A 41, 5187–5198 (1990). [CrossRef]
  7. I. Teraoka and S. Arnold, “Variational principle in whispering gallery mode sensor responses,” J. Opt. Soc. Am. B 25, 1038–1045 (2008). [CrossRef]
  8. V. Jain, U. V. Bhandarkar, S. C. Joshi, and S. Krishnagopal, “Analytical study of higher order modes of elliptical cavities using oblate spheroidal eigenvalue solution,” Phys. Rev. Spec. Top. Accel. Beams 14, 042002 (2011). [CrossRef]
  9. L. M. Folan, “Characterization of the accretion of material by microparticles using resonant ellipsometry,” Appl. Opt. 31, 2066–2071 (1992). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1. Fig. 2.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited