FDTD scattered field formulation for scatterers in stratified dispersive media

doi:10.1364/OE.18.004380

FDTD scattered field formulation for scatterers in stratified dispersive media

Juuso Olkkonen »View Author Affiliations

Optics Express, Vol. 18, Issue 5, pp. 4380-4389 (2010)
http://dx.doi.org/10.1364/OE.18.004380

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Abstract
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Abstract

We introduce a simple scattered field (SF) technique that enables finite difference time domain (FDTD) modeling of light scattering from dispersive objects residing in stratified dispersive media. The introduced SF technique is verified against the total field scattered field (TFSF) technique. As an application example, we study surface plasmon polariton enhanced light transmission through a 100nm wide slit in a silver film.

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(240.6680) Optics at surfaces : Surface plasmons
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:
Diffraction and Gratings

History
Original Manuscript: January 4, 2010
Revised Manuscript: February 11, 2010
Manuscript Accepted: February 12, 2010
Published: February 17, 2010

Citation
Juuso Olkkonen, "FDTD scattered field formulation for scatterers in stratified dispersive media," Opt. Express 18, 4380-4389 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-5-4380

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References

K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media,” IEEE Trans. Antenn. Propag. 14(3), 302–307 (1966). [CrossRef]
A. Taflove, and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Second Edition, Artech House, INC., 2000).
K. S. Kunz, and R. J. Luebbers, The Finite Difference Time Domain Method for Electromagnetics (CRC Press, London, 1993).
S. Winton, P. Kosmas, and C. M. Rappaport, “FDTD simulation of TE and TM plane waves at nonzero incidence in arbitrary layered medium,” IEEE Trans. Antenn. Propag. 53(5), 1721–1728 (2005). [CrossRef]
Y.-N. Jiang, D.-B. Ge, and S. J. Ding, “Analysis of TF-SF boundary for 2D-FDTD with plane p-wave propagation in layered dispersive and lossy media,” Prog. In Electromagnetic Res PIER 83, 157–172 (2008). [CrossRef]
J. B. Schneider and K. Abdijalilov, “Analytic field propagation TFSF boundary for FDTD problems involving planar interfaces: PECs, TE, and TM,” IEEE Trans. Antenn. Propag. 54(9), 2531–2542 (2006). [CrossRef]
K. Abdijalilov and J. B. Schneider, “Analytic field propagation TFSF boundary for FDTD problems involving planar interfaces: lossy material and evanescent fields,” IEEE Antennas Wirel. Propag. Lett. 5(1), 454–458 (2006). [CrossRef]
K. Demarest, R. Plump, and Z. Huan, “FDTD modeling of scatterers in stratified medium,” IEEE Trans. Antenn. Propag. 43(10), 1164–1168 (1995). [CrossRef]
S.-C. Kong, J. J. Simpson, and V. Backman, “ADE-FDTD scattered field formulation for dispersive materials,” IEEE Microwave Wireless Comp. Letters 18(1), 4–6 (2008). [CrossRef]
M. Okoniewski, M. Mrozowski, and M. A. Stuchly, “Simple treatment of multi-term dispersion in FDTD,” IEEE Microwave Guided Wave Lett. 7(5), 121–123 (1997). [CrossRef]
D. F. Kelley and R. J. Luebbers, “Piecewise linear recursive convolution for dispersive media using FDTD,” IEEE Trans. Antenn. Propag. 44(6), 792–797 (1996). [CrossRef]
M. G. Moharam, D. A. Pommet, E. B. Grann, and T. K. Gaylord, “Stable implementation of the rigorous coupled-wave analysis for surface relief gratings: enhanced transmittance matrix approach,” J. Opt. Soc. Am. A 12, 1077–1086 (1995). [CrossRef]
C.-T. Tai, Dyadic green functions in electromagnetic theory (Second Edition, IEEE Press, 1993).
S. D. Gedney, “An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices,” IEEE Trans. Antenn. Propag. 44(12), 1630–1639 (1996). [CrossRef]
P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev., B, Solid State 6(12), 4370–4379 (1972).

IEEE Antennas Wirel. Propag. Lett.

K. Abdijalilov and J. B. Schneider, “Analytic field propagation TFSF boundary for FDTD problems involving planar interfaces: lossy material and evanescent fields,” IEEE Antennas Wirel. Propag. Lett. 5(1), 454–458 (2006). [CrossRef]

IEEE Microwave Guided Wave Lett.

M. Okoniewski, M. Mrozowski, and M. A. Stuchly, “Simple treatment of multi-term dispersion in FDTD,” IEEE Microwave Guided Wave Lett. 7(5), 121–123 (1997). [CrossRef]

IEEE Microwave Wireless Comp. Letters

S.-C. Kong, J. J. Simpson, and V. Backman, “ADE-FDTD scattered field formulation for dispersive materials,” IEEE Microwave Wireless Comp. Letters 18(1), 4–6 (2008). [CrossRef]

IEEE Trans. Antenn. Propag.

J. B. Schneider and K. Abdijalilov, “Analytic field propagation TFSF boundary for FDTD problems involving planar interfaces: PECs, TE, and TM,” IEEE Trans. Antenn. Propag. 54(9), 2531–2542 (2006). [CrossRef]
K. Demarest, R. Plump, and Z. Huan, “FDTD modeling of scatterers in stratified medium,” IEEE Trans. Antenn. Propag. 43(10), 1164–1168 (1995). [CrossRef]
K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media,” IEEE Trans. Antenn. Propag. 14(3), 302–307 (1966). [CrossRef]
S. Winton, P. Kosmas, and C. M. Rappaport, “FDTD simulation of TE and TM plane waves at nonzero incidence in arbitrary layered medium,” IEEE Trans. Antenn. Propag. 53(5), 1721–1728 (2005). [CrossRef]
D. F. Kelley and R. J. Luebbers, “Piecewise linear recursive convolution for dispersive media using FDTD,” IEEE Trans. Antenn. Propag. 44(6), 792–797 (1996). [CrossRef]
S. D. Gedney, “An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices,” IEEE Trans. Antenn. Propag. 44(12), 1630–1639 (1996). [CrossRef]

J. Opt. Soc. Am. A

M. G. Moharam, D. A. Pommet, E. B. Grann, and T. K. Gaylord, “Stable implementation of the rigorous coupled-wave analysis for surface relief gratings: enhanced transmittance matrix approach,” J. Opt. Soc. Am. A 12, 1077–1086 (1995). [CrossRef]

Phys. Rev., B, Solid State

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev., B, Solid State 6(12), 4370–4379 (1972).

Prog. In Electromagnetic Res

Y.-N. Jiang, D.-B. Ge, and S. J. Ding, “Analysis of TF-SF boundary for 2D-FDTD with plane p-wave propagation in layered dispersive and lossy media,” Prog. In Electromagnetic Res PIER 83, 157–172 (2008). [CrossRef]

Other

A. Taflove, and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Second Edition, Artech House, INC., 2000).
K. S. Kunz, and R. J. Luebbers, The Finite Difference Time Domain Method for Electromagnetics (CRC Press, London, 1993).
C.-T. Tai, Dyadic green functions in electromagnetic theory (Second Edition, IEEE Press, 1993).

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