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

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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