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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 27, Iss. 4 — Apr. 1, 2010
  • pp: 631–639

Simulation of whispering gallery modes in the Mie regime using the nonstandard finite-difference time domain algorithm

Naoki Okada and James B. Cole  »View Author Affiliations

JOSA B, Vol. 27, Issue 4, pp. 631-639 (2010)

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The nonstandard (NS) finite-difference time domain (FDTD) algorithm has proved be remarkably accurate on a coarse numerical grid, but the well-known resonances called whispering gallery modes (WGMs) in the Mie regime are very sensitive to the scatterer representation on the computational grid, and a very large number of time steps are needed to correctly calculate the modes because the electromagnetic field outside the scatterer is weakly coupled to the inside. Using the NS-FDTD algorithm on a coarse grid, we were able to accurately simulate the WGMs of dielectric cylinders in the Mie regime.

© 2010 Optical Society of America

OCIS Codes
(260.5740) Physical optics : Resonance
(290.4020) Scattering : Mie theory

ToC Category:
Optical Design and Fabrication

Original Manuscript: November 13, 2009
Revised Manuscript: December 21, 2009
Manuscript Accepted: December 25, 2009
Published: March 3, 2010

Naoki Okada and James B. Cole, "Simulation of whispering gallery modes in the Mie regime using the nonstandard finite-difference time domain algorithm," J. Opt. Soc. Am. B 27, 631-639 (2010)

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