Abstract

The frequency dependent dielectric permittivity of dispersive materials is commonly modeled as a rational polynomial based on multiple Debye, Drude, or Lorentz terms in the finite-difference time-domain (FDTD) method. We identify a simple effective model in which dielectric polarization depends both on the electric field and its first time derivative. This enables nearly exact FDTD simulation of light propagation and absorption in silicon in the spectral range of 300–1000 nm. Numerical precision of our model is demonstrated for Mie scattering from a silicon sphere and solar absorption in a silicon nanowire photonic crystal.

© 2012 Optical Society of America

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  1. A. Taflove and S. H. Hagness, Computational Electrodynamics: The Finite Difference Time-Domain Method(Artech House, 2005).
  2. I. Valuev, A. Deinega, and S. Belousov, Opt. Lett. 33, 1491 (2008).
    [CrossRef]
  3. Y. Hao and R. Mittra, FDTD Modeling of Metamaterials: Theory and Applications (Artech House, 2009).
  4. A. Deinega, S. Belousov, and I. Valuev, Opt. Lett. 34, 860 (2009).
    [CrossRef]
  5. J. Leng, J. Opsal, H. Chu, M. Senko, and D. E. Aspnes, Thin Solid Films 313–314, 132 (1998).
    [CrossRef]
  6. P. G. Etchegoin, E. C. Le Ru, and M. Meyer, J. Chem. Phys. 125, 164705 (2006).
    [CrossRef]
  7. A. Vial, T. Laroche, M. Dridi, and L. Le Cunff, Appl. Phys. A 103, 849 (2011).
    [CrossRef]
  8. J. Lu and Y. Chang, Superlattices Microstruct. 47, 60 (2010).
    [CrossRef]
  9. A. Vial, J. Opt. A 9, 745 (2007).
    [CrossRef]
  10. M. A. Green and M. Keevers, Progr. Photovol. 3, 189 (1995).
    [CrossRef]
  11. A. Deinega, I. Valuev, B. Potapkin, and Yu. Lozovik, J. Opt. Soc. Am. A 28, 770 (2011).
    [CrossRef]
  12. J. A. Pereda, A. Vegas, and A. Prieto, IEEE Trans. Microwave Theory Tech. 50, 1689 (2002).
    [CrossRef]
  13. S. Liu, N. Yuan, and J. Mo, IEEE Microw. Wireless Compon. Lett. 13, 187 (2003).
    [CrossRef]
  14. T. O. Korner and W. Fichtner, Opt. Lett. 22, 1586 (1997).
    [CrossRef]
  15. L. J. Prokopeva, J. D. Borneman, and A. V. Kildishev, IEEE Trans. Magn. 47, 1150 (2011).
    [CrossRef]
  16. Electromagnetic Template Library, http://kintechlab.com .
  17. A. Deinega and I. Valuev, Comput. Phys. Commun. 182, 149 (2011).
    [CrossRef]
  18. A. Deinega and I. Valuev, Opt. Lett. 32, 3429 (2007).
    [CrossRef]
  19. L. Hu and G. Chen, Nano Lett. 7, 3249 (2007).
    [CrossRef]
  20. G. Demesy, F. Zolla, A. Nicolet, and M. Commandre, J. Opt. Soc. Am. A 27, 878 (2010).
    [CrossRef]

2011 (4)

A. Vial, T. Laroche, M. Dridi, and L. Le Cunff, Appl. Phys. A 103, 849 (2011).
[CrossRef]

L. J. Prokopeva, J. D. Borneman, and A. V. Kildishev, IEEE Trans. Magn. 47, 1150 (2011).
[CrossRef]

A. Deinega and I. Valuev, Comput. Phys. Commun. 182, 149 (2011).
[CrossRef]

A. Deinega, I. Valuev, B. Potapkin, and Yu. Lozovik, J. Opt. Soc. Am. A 28, 770 (2011).
[CrossRef]

2010 (2)

2009 (1)

2008 (1)

2007 (3)

A. Deinega and I. Valuev, Opt. Lett. 32, 3429 (2007).
[CrossRef]

L. Hu and G. Chen, Nano Lett. 7, 3249 (2007).
[CrossRef]

A. Vial, J. Opt. A 9, 745 (2007).
[CrossRef]

2006 (1)

P. G. Etchegoin, E. C. Le Ru, and M. Meyer, J. Chem. Phys. 125, 164705 (2006).
[CrossRef]

2003 (1)

S. Liu, N. Yuan, and J. Mo, IEEE Microw. Wireless Compon. Lett. 13, 187 (2003).
[CrossRef]

2002 (1)

J. A. Pereda, A. Vegas, and A. Prieto, IEEE Trans. Microwave Theory Tech. 50, 1689 (2002).
[CrossRef]

1998 (1)

J. Leng, J. Opsal, H. Chu, M. Senko, and D. E. Aspnes, Thin Solid Films 313–314, 132 (1998).
[CrossRef]

1997 (1)

1995 (1)

M. A. Green and M. Keevers, Progr. Photovol. 3, 189 (1995).
[CrossRef]

Aspnes, D. E.

J. Leng, J. Opsal, H. Chu, M. Senko, and D. E. Aspnes, Thin Solid Films 313–314, 132 (1998).
[CrossRef]

Belousov, S.

Borneman, J. D.

L. J. Prokopeva, J. D. Borneman, and A. V. Kildishev, IEEE Trans. Magn. 47, 1150 (2011).
[CrossRef]

Chang, Y.

J. Lu and Y. Chang, Superlattices Microstruct. 47, 60 (2010).
[CrossRef]

Chen, G.

L. Hu and G. Chen, Nano Lett. 7, 3249 (2007).
[CrossRef]

Chu, H.

J. Leng, J. Opsal, H. Chu, M. Senko, and D. E. Aspnes, Thin Solid Films 313–314, 132 (1998).
[CrossRef]

Commandre, M.

Deinega, A.

Demesy, G.

Dridi, M.

A. Vial, T. Laroche, M. Dridi, and L. Le Cunff, Appl. Phys. A 103, 849 (2011).
[CrossRef]

Etchegoin, P. G.

P. G. Etchegoin, E. C. Le Ru, and M. Meyer, J. Chem. Phys. 125, 164705 (2006).
[CrossRef]

Fichtner, W.

Green, M. A.

M. A. Green and M. Keevers, Progr. Photovol. 3, 189 (1995).
[CrossRef]

Hagness, S. H.

A. Taflove and S. H. Hagness, Computational Electrodynamics: The Finite Difference Time-Domain Method(Artech House, 2005).

Hao, Y.

Y. Hao and R. Mittra, FDTD Modeling of Metamaterials: Theory and Applications (Artech House, 2009).

Hu, L.

L. Hu and G. Chen, Nano Lett. 7, 3249 (2007).
[CrossRef]

Keevers, M.

M. A. Green and M. Keevers, Progr. Photovol. 3, 189 (1995).
[CrossRef]

Kildishev, A. V.

L. J. Prokopeva, J. D. Borneman, and A. V. Kildishev, IEEE Trans. Magn. 47, 1150 (2011).
[CrossRef]

Korner, T. O.

Laroche, T.

A. Vial, T. Laroche, M. Dridi, and L. Le Cunff, Appl. Phys. A 103, 849 (2011).
[CrossRef]

Le Cunff, L.

A. Vial, T. Laroche, M. Dridi, and L. Le Cunff, Appl. Phys. A 103, 849 (2011).
[CrossRef]

Le Ru, E. C.

P. G. Etchegoin, E. C. Le Ru, and M. Meyer, J. Chem. Phys. 125, 164705 (2006).
[CrossRef]

Leng, J.

J. Leng, J. Opsal, H. Chu, M. Senko, and D. E. Aspnes, Thin Solid Films 313–314, 132 (1998).
[CrossRef]

Liu, S.

S. Liu, N. Yuan, and J. Mo, IEEE Microw. Wireless Compon. Lett. 13, 187 (2003).
[CrossRef]

Lozovik, Yu.

Lu, J.

J. Lu and Y. Chang, Superlattices Microstruct. 47, 60 (2010).
[CrossRef]

Meyer, M.

P. G. Etchegoin, E. C. Le Ru, and M. Meyer, J. Chem. Phys. 125, 164705 (2006).
[CrossRef]

Mittra, R.

Y. Hao and R. Mittra, FDTD Modeling of Metamaterials: Theory and Applications (Artech House, 2009).

Mo, J.

S. Liu, N. Yuan, and J. Mo, IEEE Microw. Wireless Compon. Lett. 13, 187 (2003).
[CrossRef]

Nicolet, A.

Opsal, J.

J. Leng, J. Opsal, H. Chu, M. Senko, and D. E. Aspnes, Thin Solid Films 313–314, 132 (1998).
[CrossRef]

Pereda, J. A.

J. A. Pereda, A. Vegas, and A. Prieto, IEEE Trans. Microwave Theory Tech. 50, 1689 (2002).
[CrossRef]

Potapkin, B.

Prieto, A.

J. A. Pereda, A. Vegas, and A. Prieto, IEEE Trans. Microwave Theory Tech. 50, 1689 (2002).
[CrossRef]

Prokopeva, L. J.

L. J. Prokopeva, J. D. Borneman, and A. V. Kildishev, IEEE Trans. Magn. 47, 1150 (2011).
[CrossRef]

Senko, M.

J. Leng, J. Opsal, H. Chu, M. Senko, and D. E. Aspnes, Thin Solid Films 313–314, 132 (1998).
[CrossRef]

Taflove, A.

A. Taflove and S. H. Hagness, Computational Electrodynamics: The Finite Difference Time-Domain Method(Artech House, 2005).

Valuev, I.

Vegas, A.

J. A. Pereda, A. Vegas, and A. Prieto, IEEE Trans. Microwave Theory Tech. 50, 1689 (2002).
[CrossRef]

Vial, A.

A. Vial, T. Laroche, M. Dridi, and L. Le Cunff, Appl. Phys. A 103, 849 (2011).
[CrossRef]

A. Vial, J. Opt. A 9, 745 (2007).
[CrossRef]

Yuan, N.

S. Liu, N. Yuan, and J. Mo, IEEE Microw. Wireless Compon. Lett. 13, 187 (2003).
[CrossRef]

Zolla, F.

Appl. Phys. A (1)

A. Vial, T. Laroche, M. Dridi, and L. Le Cunff, Appl. Phys. A 103, 849 (2011).
[CrossRef]

Comput. Phys. Commun. (1)

A. Deinega and I. Valuev, Comput. Phys. Commun. 182, 149 (2011).
[CrossRef]

IEEE Microw. Wireless Compon. Lett. (1)

S. Liu, N. Yuan, and J. Mo, IEEE Microw. Wireless Compon. Lett. 13, 187 (2003).
[CrossRef]

IEEE Trans. Magn. (1)

L. J. Prokopeva, J. D. Borneman, and A. V. Kildishev, IEEE Trans. Magn. 47, 1150 (2011).
[CrossRef]

IEEE Trans. Microwave Theory Tech. (1)

J. A. Pereda, A. Vegas, and A. Prieto, IEEE Trans. Microwave Theory Tech. 50, 1689 (2002).
[CrossRef]

J. Chem. Phys. (1)

P. G. Etchegoin, E. C. Le Ru, and M. Meyer, J. Chem. Phys. 125, 164705 (2006).
[CrossRef]

J. Opt. A (1)

A. Vial, J. Opt. A 9, 745 (2007).
[CrossRef]

J. Opt. Soc. Am. A (2)

Nano Lett. (1)

L. Hu and G. Chen, Nano Lett. 7, 3249 (2007).
[CrossRef]

Opt. Lett. (4)

Progr. Photovol. (1)

M. A. Green and M. Keevers, Progr. Photovol. 3, 189 (1995).
[CrossRef]

Superlattices Microstruct. (1)

J. Lu and Y. Chang, Superlattices Microstruct. 47, 60 (2010).
[CrossRef]

Thin Solid Films (1)

J. Leng, J. Opsal, H. Chu, M. Senko, and D. E. Aspnes, Thin Solid Films 313–314, 132 (1998).
[CrossRef]

Other (3)

Y. Hao and R. Mittra, FDTD Modeling of Metamaterials: Theory and Applications (Artech House, 2009).

A. Taflove and S. H. Hagness, Computational Electrodynamics: The Finite Difference Time-Domain Method(Artech House, 2005).

Electromagnetic Template Library, http://kintechlab.com .

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