Contour-path effective permittivities for the two-dimensional finite-difference time-domain method

Year: 2005

Authors: Mohammadi A., Nadgaran H., Agio M.

Autors Affiliation: Nano-Optics Group, Laboratory of Physical Chemistry, ETH Zurich, CH-8093 Zurich, Switzerland; Department of Physics, Shiraz University, 71454 Shiraz, Iran.

Abstract: Effective permittivities for the two-dimensional Finite-Difference Time-Domain (FDTD) method are derived using a contour path approach that accounts for the boundary conditions of the electromagnetic field at dielectric interfaces. A phenomenological formula for the effective permittivities is also proposed as an effective and simpler alternative to the previous result. Our schemes are validated using Mie theory for the scattering of a dielectric cylinder and they are compared to the usual staircase and the widely used volume-average approximations. Significant improvements in terms of accuracy and error fluctuations are demonstrated, especially in the calculation of resonances.

Journal/Review: OPTICS EXPRESS

Volume: 13 (25)      Pages from: 10367  to: 10381

KeyWords: Dielectric Particles; Maxwells Equations; Fdtd Method; Complex Geometries; Light-scattering; Curved Surfaces; Algorithm; Interfaces; Media; Formulation
DOI: 10.1364/OPEX.13.010367

Citations: 53
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