## Simulation of subwavelength metallic gratings using a new implementation of the recursive convolution finite-difference time-domain algorithm

JOSA A, Vol. 25, Issue 8, pp. 1921-1928 (2008)

http://dx.doi.org/10.1364/JOSAA.25.001921

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### Abstract

We introduce a new implementation of the finite-difference time-domain (FDTD) algorithm with recursive convolution (RC) for first-order Drude metals. We implemented RC for both Maxwell’s equations for light polarized in the plane of incidence (TM mode) and the wave equation for light polarized normal to the plane of incidence (TE mode). We computed the Drude parameters at each wavelength using the measured value of the dielectric constant as a function of the spatial and temporal discretization to ensure both the accuracy of the material model and algorithm stability. For the TE mode, where Maxwell’s equations reduce to the wave equation (even in a region of nonuniform permittivity) we introduced a wave equation formulation of RC-FDTD. This greatly reduces the computational cost. We used our methods to compute the diffraction characteristics of metallic gratings in the visible wavelength band and compared our results with frequency-domain calculations.

© 2008 Optical Society of America

**OCIS Codes**

(050.0050) Diffraction and gratings : Diffraction and gratings

(230.0230) Optical devices : Optical devices

(260.0260) Physical optics : Physical optics

**ToC Category:**

Diffraction and Gratings

**History**

Original Manuscript: November 7, 2007

Revised Manuscript: March 24, 2008

Manuscript Accepted: April 26, 2008

Published: July 8, 2008

**Citation**

Saswatee Banerjee, Tetsuya Hoshino, and James B. Cole, "Simulation of subwavelength metallic gratings using a new implementation of the recursive convolution finite-difference time-domain algorithm," J. Opt. Soc. Am. A **25**, 1921-1928 (2008)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-8-1921

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### References

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