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The objective of the paper is the assessment of the accuracy of aconventional FDTD code in the computation of the near and far-field scatteringcharacteristics of a circular dielectric cylinder. We excite the cylinder withan electric or magnetic line current and demonstrate the failure of thetwo-dimensional FDTD algorithm to characterize accurately the emission rate andthe field patterns near high-Q whispering-gallery-mode resonances. This isproven by comparison with the exact series solutions. The computational errorsin the emission rate are then studied at the resonances still detectable withFDTD, i.e. having Q-factors up to 10^3.

Test of the FDTD accuracy in the analysis of the scattering resonances associated with high-Q whispering-gallery modes of a circular cylinder