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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 8 — Aug. 1, 2008
  • pp: 1921–1928

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

Saswatee Banerjee, Tetsuya Hoshino, and James B. Cole  »View Author Affiliations


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

  1. K. S. Kunz and R. J. Luebbers, The Finite Difference Time Domain Method for Electromagnetics (CRC Press, 1993), Chap. 8, 123-162.
  2. J. B. Cole, S. Banerjee, and M. I. Haftel, “High accuracy nonstandard finite-difference time-domain algorithms for computational electromagnetics: Applications to optics and photonics,” in Advances in the Applications of Nonstandard Finite Difference Schemes (World Scientific, 2006), pp. 89-189.
  3. A. Taflove and S. C. Hagness, Computational Electrodynamics the Finite Difference Time-Domain Method, 3rd ed. (Artech House, 2005), Chap. 8, p. 329, Chap. 9, p. 355.
  4. B. B. Baker and E. T. Copson, The Mathematical Theory of Huygens' Principle (Chelsea, 1987), p. 52.
  5. S. Banerjee, J. B. Cole, and T. Yatagai, “Calculation of diffraction characteristics of subwavelength conducting gratings using a high accuracy nonstandard finite-difference time-domain method,” Opt. Rev. 12, 274-280 (2005). [CrossRef]
  6. M. G. Moharam and T. K. Gaylord, “Rigorous coupled-wave analysis of metallic surface relief gratings,” J. Opt. Soc. Am. A 3, 1780-1787 (1986). [CrossRef]
  7. J. J. Kuta, H. M. van Driel, D. Landheer, and Y. Feng, “Coupled-wave analysis of lamellar metal transmission gratings for the visible and the infrared,” J. Opt. Soc. Am. A 12, 1118-1127 (1995). [CrossRef]
  8. M. Born and E. Wolf, Principles of Optics, 7th (expanded) ed. (Cambridge U. Press, 1999), Chap. XIV.
  9. P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 16, 4370-4379 (1972). [CrossRef]

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