Abstract

A developed two-dimensional Finite Difference Time Domain (FDTD) method has been performed to investigate the optical bistability in a subwavelength metallic grating coated by nonlinear material. Different bistability loops have been shown to depend on parameters of the structure. The influences of two key parameters, thickness of nonlinear material and slit width of metallic grating, have been studied in detail. The effect of optical bistability in the structure is explained by Surface Plasmons (SPs) mode and resonant waveguide theory.

© 2007 Optical Society of America

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  1. T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, "Extraordinary optical transmission through sub-wavelength hole arrays," Nature 391, 667-669 (1998).
    [CrossRef]
  2. L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen,"Theory of extraordinary optical transmission through subwavelength hole arrays," Phys. Rev. Lett. 86, 1114-1117 (2001).
    [CrossRef]
  3. W. L. Barnes, A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
    [CrossRef]
  4. H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, F. Martin-Moreno, L. J. Garcia-Vidal, and T. W. Ebbesen,"Beaming light from a subwavelength aperture," Science 297, 220-222 (2002).
  5. X. Jiao, P. Wang, L. Tang, Y. Lu, Q. Li, D. Zhang, P. Yao, H. Ming, and J. Xie, "Fabry-Pérot-like phenomenon in the surface plasmons resonant transmission of metallic gratings with very narrow slits," Appl. Phys. B 80, 301-305 (2005).
    [CrossRef]
  6. S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Laluet, and T. W. Ebbesen, "Channel plasmon subwavelength waveguide components including interferometers and ring resonators," Nature 440, 508-511 (2006).
    [CrossRef]
  7. E. Ozbay, "Plasmonics: Merging Photonics and Electronics at Nanoscale Dimensions," Science 311, 189-193 (2006).
    [CrossRef]
  8. I. I. Smolyaninov, "Quantum Fluctuations of the Refractive Index near the Interface between a metal and a Nonlinear Dielectric," Phys. Rev. Lett. 94, 057403 (2005).
    [CrossRef]
  9. J. A. Porto, L. Martin-Moreno, and F. J. Garcia-Vidal, "Optical bistability in subwavelength slit apertures containing nonlinear media," Phys. Rev. B 70, 081402 (2004).
    [CrossRef]
  10. G. A. Wurtz, R. Pollard, and A. V. Zayats, "Optical Bistability in Nonlinear Surface-Plasmon Polaritonic Crystals," Phys. Rev. Lett. 97, 057402 (2006).
    [CrossRef]
  11. C. Min, P. Wang, X. Jiao, Y. Deng, and H. Ming, "Beam manipulating by metallic nano-optic lens containing nonlinear media, " Opt. Express 15, 9541-9546 (2007)
    [CrossRef]
  12. M. Fujii, C. Koos, C. Poulton, I. Sakagami, J. Leuthold and W. Freude, "A simple and rigorous verification technique for nonlinear FDTD algorithms by optical parametric four-wave mixing," Microwave Opt. Technol. Lett. 48, 88-91 (2005).
  13. J. B. Jubkins and R. W. Ziolkowski, "Finite-difference time-domain modeling of nonperfectly conducting metallic thin-film gratings," J. Opt. Soc. Am. A. 12, 1974-1983 (1995).
  14. P. Harms, R. Mittra, and W. Ko, "Implementation of the periodic boundary condition in the finite-difference time-domain algorithm for FSS structures," IEEE Trans. Antennas Propagat. 42, 1317-1324 (1994).
    [CrossRef]
  15. A. Taflove and S. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 2nd ed., (Artech House, Boston, MA 2000).
  16. E. D. Palik, Handbook of Optical Constants of Solids, (Academic Press, London 1985).
  17. M. Born and E. Wolf, Principles of Optics, (Pergamon Press, 1975).
  18. H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings, (Springer, Berlin 1988).

2007 (1)

2006 (3)

G. A. Wurtz, R. Pollard, and A. V. Zayats, "Optical Bistability in Nonlinear Surface-Plasmon Polaritonic Crystals," Phys. Rev. Lett. 97, 057402 (2006).
[CrossRef]

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Laluet, and T. W. Ebbesen, "Channel plasmon subwavelength waveguide components including interferometers and ring resonators," Nature 440, 508-511 (2006).
[CrossRef]

E. Ozbay, "Plasmonics: Merging Photonics and Electronics at Nanoscale Dimensions," Science 311, 189-193 (2006).
[CrossRef]

2005 (3)

I. I. Smolyaninov, "Quantum Fluctuations of the Refractive Index near the Interface between a metal and a Nonlinear Dielectric," Phys. Rev. Lett. 94, 057403 (2005).
[CrossRef]

M. Fujii, C. Koos, C. Poulton, I. Sakagami, J. Leuthold and W. Freude, "A simple and rigorous verification technique for nonlinear FDTD algorithms by optical parametric four-wave mixing," Microwave Opt. Technol. Lett. 48, 88-91 (2005).

X. Jiao, P. Wang, L. Tang, Y. Lu, Q. Li, D. Zhang, P. Yao, H. Ming, and J. Xie, "Fabry-Pérot-like phenomenon in the surface plasmons resonant transmission of metallic gratings with very narrow slits," Appl. Phys. B 80, 301-305 (2005).
[CrossRef]

2004 (1)

J. A. Porto, L. Martin-Moreno, and F. J. Garcia-Vidal, "Optical bistability in subwavelength slit apertures containing nonlinear media," Phys. Rev. B 70, 081402 (2004).
[CrossRef]

2003 (1)

W. L. Barnes, A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
[CrossRef]

2002 (1)

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, F. Martin-Moreno, L. J. Garcia-Vidal, and T. W. Ebbesen,"Beaming light from a subwavelength aperture," Science 297, 220-222 (2002).

2001 (1)

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen,"Theory of extraordinary optical transmission through subwavelength hole arrays," Phys. Rev. Lett. 86, 1114-1117 (2001).
[CrossRef]

1998 (1)

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, "Extraordinary optical transmission through sub-wavelength hole arrays," Nature 391, 667-669 (1998).
[CrossRef]

1995 (1)

J. B. Jubkins and R. W. Ziolkowski, "Finite-difference time-domain modeling of nonperfectly conducting metallic thin-film gratings," J. Opt. Soc. Am. A. 12, 1974-1983 (1995).

1994 (1)

P. Harms, R. Mittra, and W. Ko, "Implementation of the periodic boundary condition in the finite-difference time-domain algorithm for FSS structures," IEEE Trans. Antennas Propagat. 42, 1317-1324 (1994).
[CrossRef]

Appl. Phys. B (1)

X. Jiao, P. Wang, L. Tang, Y. Lu, Q. Li, D. Zhang, P. Yao, H. Ming, and J. Xie, "Fabry-Pérot-like phenomenon in the surface plasmons resonant transmission of metallic gratings with very narrow slits," Appl. Phys. B 80, 301-305 (2005).
[CrossRef]

IEEE Trans. Antennas Propagat. (1)

P. Harms, R. Mittra, and W. Ko, "Implementation of the periodic boundary condition in the finite-difference time-domain algorithm for FSS structures," IEEE Trans. Antennas Propagat. 42, 1317-1324 (1994).
[CrossRef]

J. Opt. Soc. Am. A. (1)

J. B. Jubkins and R. W. Ziolkowski, "Finite-difference time-domain modeling of nonperfectly conducting metallic thin-film gratings," J. Opt. Soc. Am. A. 12, 1974-1983 (1995).

Microwave Opt. Technol. Lett. (1)

M. Fujii, C. Koos, C. Poulton, I. Sakagami, J. Leuthold and W. Freude, "A simple and rigorous verification technique for nonlinear FDTD algorithms by optical parametric four-wave mixing," Microwave Opt. Technol. Lett. 48, 88-91 (2005).

Nature (3)

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J. Laluet, and T. W. Ebbesen, "Channel plasmon subwavelength waveguide components including interferometers and ring resonators," Nature 440, 508-511 (2006).
[CrossRef]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, "Extraordinary optical transmission through sub-wavelength hole arrays," Nature 391, 667-669 (1998).
[CrossRef]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
[CrossRef]

Opt. Express (1)

Phys. Rev. B (1)

J. A. Porto, L. Martin-Moreno, and F. J. Garcia-Vidal, "Optical bistability in subwavelength slit apertures containing nonlinear media," Phys. Rev. B 70, 081402 (2004).
[CrossRef]

Phys. Rev. Lett. (3)

G. A. Wurtz, R. Pollard, and A. V. Zayats, "Optical Bistability in Nonlinear Surface-Plasmon Polaritonic Crystals," Phys. Rev. Lett. 97, 057402 (2006).
[CrossRef]

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen,"Theory of extraordinary optical transmission through subwavelength hole arrays," Phys. Rev. Lett. 86, 1114-1117 (2001).
[CrossRef]

I. I. Smolyaninov, "Quantum Fluctuations of the Refractive Index near the Interface between a metal and a Nonlinear Dielectric," Phys. Rev. Lett. 94, 057403 (2005).
[CrossRef]

Science (2)

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, F. Martin-Moreno, L. J. Garcia-Vidal, and T. W. Ebbesen,"Beaming light from a subwavelength aperture," Science 297, 220-222 (2002).

E. Ozbay, "Plasmonics: Merging Photonics and Electronics at Nanoscale Dimensions," Science 311, 189-193 (2006).
[CrossRef]

Other (4)

A. Taflove and S. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 2nd ed., (Artech House, Boston, MA 2000).

E. D. Palik, Handbook of Optical Constants of Solids, (Academic Press, London 1985).

M. Born and E. Wolf, Principles of Optics, (Pergamon Press, 1975).

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings, (Springer, Berlin 1988).

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