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

Abstract

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

5 pages, 6 figures

References in corpus (5)

• Small hemielliptic dielectric lens antenna analysis in 2-D: boundary integral equations versus geometrical and physical optics
• Whispering-gallery and Luneburg-lens effects in a beam-fed circularly-layered dielectric cylinder
• Resonance Patterns in a Stadium-shaped Microcavity
• Efficient analysis and design of low-loss whispering-gallery-mode coupled resonator optical waveguide bends
• Assessment of FDTD accuracy in the compact hemielliptic dielectric lens antenna analysis

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