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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 25 — Dec. 12, 2005
  • pp: 10367–10381

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

Ahmad Mohammadi, Hamid Nadgaran, and Mario Agio  »View Author Affiliations


Optics Express, Vol. 13, Issue 25, pp. 10367-10381 (2005)
http://dx.doi.org/10.1364/OPEX.13.010367


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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.

© 2005 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(260.5740) Physical optics : Resonance
(290.0290) Scattering : Scattering

ToC Category:
Research Papers

Citation
Ahmad Mohammadi, Hamid Nadgaran, and Mario Agio, "Contour-path effective permittivities for the two-dimensional finite-difference time-domain method," Opt. Express 13, 10367-10381 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-25-10367


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