OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 25, Iss. 6 — Jun. 1, 2008
  • pp: 1038–1045

Variational principle in whispering gallery mode sensor responses

Iwao Teraoka and Stephen Arnold  »View Author Affiliations


JOSA B, Vol. 25, Issue 6, pp. 1038-1045 (2008)
http://dx.doi.org/10.1364/JOSAB.25.001038


View Full Text Article

Enhanced HTML    Acrobat PDF (342 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

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.

© 2008 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 10, 2008
Manuscript Accepted: March 12, 2008
Published: May 27, 2008

Virtual Issues
Vol. 3, Iss. 7 Virtual Journal for Biomedical Optics

Citation
Iwao Teraoka and Stephen Arnold, "Variational principle in whispering gallery mode sensor responses," J. Opt. Soc. Am. B 25, 1038-1045 (2008)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-25-6-1038

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited