## Comprehensive three-dimensional split-field finite-difference time-domain method for analysis of periodic plasmonic nanostructures: near- and far-field formulation |

JOSA B, Vol. 28, Issue 11, pp. 2690-2700 (2011)

http://dx.doi.org/10.1364/JOSAB.28.002690

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### Abstract

The three-dimensional split-field finite-difference time-domain (SF-FDTD) method is combined with the total-field–scattered-field method for injecting a plane wave. A formulation is derived for calculating the incidence transformed fields of SF-FDTD on a one-dimensional auxiliary grid. The resulting fields obtained in the scattered zone are used to calculate the far fields, based on a proposed fully time-domain near-to-far-field transformation. The far-field information is used to calculate the extinction cross section of the periodic structure under oblique incidence. To analyze metallic periodic structures, a formulation with a reduced number of variables is proposed based on the auxiliary differential equation method for dispersive media.

© 2011 Optical Society of America

**OCIS Codes**

(000.4430) General : Numerical approximation and analysis

(050.0050) Diffraction and gratings : Diffraction and gratings

(240.6680) Optics at surfaces : Surface plasmons

(350.4238) Other areas of optics : Nanophotonics and photonic crystals

**ToC Category:**

Numerical Approximation and Analysis

**History**

Original Manuscript: July 11, 2011

Revised Manuscript: September 12, 2011

Manuscript Accepted: September 12, 2011

Published: October 19, 2011

**Virtual Issues**

Vol. 7, Iss. 1 *Virtual Journal for Biomedical Optics*

**Citation**

Afsaneh Shahmansouri and Bizhan Rashidian, "Comprehensive three-dimensional split-field finite-difference time-domain method for analysis of periodic plasmonic nanostructures: near- and far-field formulation," J. Opt. Soc. Am. B **28**, 2690-2700 (2011)

http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josab-28-11-2690

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