Open AccessContour-path effective permittivities for the two-dimensional finite-difference time-domain method
Author(s) -
Ahmad Mohammadi,
Hamid Nadgaran,
Mario Agio
Publication year - 2005
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/opex.13.010367
Subject(s) - finite difference time domain method , mie scattering , optics , dielectric , permittivity , physics , finite difference method , boundary value problem , scattering , mathematical analysis , mathematics , light scattering , quantum mechanics
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.