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

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1101-1108
Number of pages8
JournalApplied Optics
Volume51
Issue number8
DOIs
StatePublished - Mar 10 2012

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Whispering gallery modes
whispering gallery modes
Resonators
Refractive index
ellipticity
resonators
Wave functions
shift
refractivity
Adsorption
wave functions
Laser modes
adsorption
Electric fields
perturbation theory
electric fields

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Resonance shifts of transverse-electric whispering gallery modes in a spheroidal resonator. / Teraoka, Iwao.

In: Applied Optics, Vol. 51, No. 8, 10.03.2012, p. 1101-1108.

Research output: Contribution to journalArticle

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