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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 17, Iss. 7 — Jul. 1, 2000
  • pp: 1301–1311

Geometrical optics model of Mie resonances

Günter Roll and Gustav Schweiger  »View Author Affiliations


JOSA A, Vol. 17, Issue 7, pp. 1301-1311 (2000)
http://dx.doi.org/10.1364/JOSAA.17.001301


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Abstract

The geometrical optics model of Mie resonances is presented. The ray path geometry is given and the resonance condition is discussed with special emphasis on the phase shift that the rays undergo at the surface of the dielectric sphere. On the basis of this model, approximate expressions for the positions of first-order resonances are given. Formulas for the cavity mode spacing are rederived in a simple manner. It is shown that the resonance linewidth can be calculated regarding the cavity losses. Formulas for the mode density of Mie resonances are given that account for the different width of resonances and thus may be adapted to specific experimental situations.

© 2000 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(080.1510) Geometric optics : Propagation methods
(140.4780) Lasers and laser optics : Optical resonators
(260.5740) Physical optics : Resonance
(290.0290) Scattering : Scattering
(290.4020) Scattering : Mie theory

History
Original Manuscript: March 4, 1999
Revised Manuscript: February 15, 2000
Manuscript Accepted: February 15, 2000
Published: July 1, 2000

Citation
Günter Roll and Gustav Schweiger, "Geometrical optics model of Mie resonances," J. Opt. Soc. Am. A 17, 1301-1311 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-7-1301

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