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
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)