Variational principle in whispering gallery mode sensor responses

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Abstract

We present a variational method for whispering gallery modes (WGMs) and apply it to sensor responses of WGMs in a spherical resonator to two types of perturbation for which we know the exact answers. The perturbations are adsorption of a thin dielectric layer and a uniform change in the surroundings' refractive index. The variational method gives the perturbed wave function and, if a suitable trial function is chosen, the resonance wavelength shift up to the second order in the perturbation. The linear part is identical to the result of the first-order perturbation theory.

Original languageEnglish (US)
Pages (from-to)1038-1045
Number of pages8
JournalJournal of the Optical Society of America B: Optical Physics
Volume25
Issue number6
DOIs
StatePublished - Jun 2008

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics

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