Abstract

Ultracompact three-dimensional (3D) waveguide plasmonic Bragg gratings in a metal/multi-insulator/metal (MMIM) configuration with sinusoidal width modulations are presented. A semi-analytical approach from the eigenvalue problem and finite transmission-line network perspectives is described to facilitate the 3D designs with Bragg wavelength errors being within the range of 0.12%–3.99%. A narrowband design operating in the 1550 nm band with a FWHM bandwidth of 10.8 nm and an extinction ratio of approximately 12 dB is numerically demonstrated within a footprint of <17μm2 (10 periods). Unlike other types of plasmonic Bragg gratings, the bandwidth is increased as the MMIM grating length increases. The number of distinct plasmonic z-directed Poynting vector patterns within one period is found to be identical to the corresponding Bragg order. Narrowband characteristics are attributed to delicate, concurrent contra-flow interactions in and between photonic and plasmonic modes occurring simultaneously in multiple places within one period.

© 2013 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. T. Tsuchizawa, K. Yamada, H. Fukuda, T. Watanabe, J.-i. Takahashi, M. Takahashi, T. Shoji, E. Tamechika, S. Itabashi, and H. Morita, “Microphotonics devices based on silicon microfabrication technology,” IEEE J. Sel. Top. Quantum Electron. 11, 232–240 (2005).
    [CrossRef]
  2. G. T. Reed, Silicon Photonics: The State of the Art (Wiley, 2008).
  3. V. J. Sorger, Z. Ye, R. F. Oulton, Y. Wang, G. Bartal, X. Yin, and X. Zhang, “Experimental demonstration of low-loss optical waveguiding at deep sub-wavelength scales,” Nat. Commun. 2, 331 (2011).
    [CrossRef]
  4. W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
    [CrossRef]
  5. S. Jetté-Charbonneau, R. Charbonneau, N. Lahoud, G. Mattiussi, and P. Berini, “Demonstration of Bragg gratings based on long-ranging surface plasmon polariton waveguides,” Opt. Express 13, 4674–4682 (2005).
    [CrossRef]
  6. A. Boltasseva, S. I. Bozhevolnyi, T. Nikolajsen, and K. Leosson, “Compact Bragg gratings for long-range surface plasmon polaritons,” J. Lightwave Technol. 24, 912–918 (2006).
    [CrossRef]
  7. J.-W. Mu, and W.-P. Huang, “A low-loss surface plasmonic Bragg grating,” J. Lightwave Technol. 27, 436–439 (2009).
    [CrossRef]
  8. A. Hosseini and Y. Massoud, “A low-loss metal–insulator–metal plasmonic Bragg reflector,” Opt. Express 14, 318–323 (2006).
  9. Z. Han, E. Forsberg, and S. He, “Surface plasmon Bragg gratings formed in metal–insulator–metal waveguides,” IEEE Photon. Technol. Lett. 19, 91–93 (2007).
    [CrossRef]
  10. J.-Q. Liu, L.-L. Wang, M.-D. He, W.-Q. Huang, D. Wang, B. S. Zou, and S. Wen, “A wide bandgap plasmonic Bragg reflector,” Opt. Express 16, 4888–4894 (2008).
    [CrossRef]
  11. J. Park, H. Kim, and B. Lee, “High order plasmonic Bragg reflection in the metal–insulator–metal waveguide Bragg grating,” Opt. Express 16, 413–425 (2008).
    [CrossRef]
  12. T. Holmgaard, Z. Chen, S. I. Bozhevolnyi, L. Markey, A. Dereux, A. V. Krasavin, and A. V. Zayats, “Wavelength selection by dielectric-loaded plasmonic components,” Appl. Phys. Lett. 94, 051111 (2009).
    [CrossRef]
  13. Y.-J. Chang and G.-Y. Luo, “A narrow band metal–multi-insulator–metal waveguide plasmonic Bragg grating,” IEEE Photon. Technol. Lett. 22, 634–636 (2010).
    [CrossRef]
  14. Y.-J. Chang, “Design and analysis of metal/multi-insulator/metal waveguide plasmonic Bragg grating,” Opt. Express 18, 13258–13270 (2010).
    [CrossRef]
  15. R. F. Oulton, V. J. Sorger, D. A. Genov, D. F. P. Pile, and X. Zhang, “A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation,” Nat. Photonics 2, 496–500 (2008).
    [CrossRef]
  16. R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature 461, 629–632 (2009).
    [CrossRef]
  17. M. Wu, Z. Han, and V. Van, “Conductor-gap-silicon plasmonic waveguides and passive components at subwavelength scale,” Opt. Express 18, 11728–11736 (2010).
    [CrossRef]
  18. J. Xiao, J. Liu, Z. Zheng, Y. Bian, and G. Wang, “Design and analysis of a nanostructure grating based on a hybrid plasmonic slot waveguide,” J. Opt. 13, 105001 (2011).
    [CrossRef]
  19. P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).
    [CrossRef]

2011 (2)

V. J. Sorger, Z. Ye, R. F. Oulton, Y. Wang, G. Bartal, X. Yin, and X. Zhang, “Experimental demonstration of low-loss optical waveguiding at deep sub-wavelength scales,” Nat. Commun. 2, 331 (2011).
[CrossRef]

J. Xiao, J. Liu, Z. Zheng, Y. Bian, and G. Wang, “Design and analysis of a nanostructure grating based on a hybrid plasmonic slot waveguide,” J. Opt. 13, 105001 (2011).
[CrossRef]

2010 (3)

Y.-J. Chang and G.-Y. Luo, “A narrow band metal–multi-insulator–metal waveguide plasmonic Bragg grating,” IEEE Photon. Technol. Lett. 22, 634–636 (2010).
[CrossRef]

Y.-J. Chang, “Design and analysis of metal/multi-insulator/metal waveguide plasmonic Bragg grating,” Opt. Express 18, 13258–13270 (2010).
[CrossRef]

M. Wu, Z. Han, and V. Van, “Conductor-gap-silicon plasmonic waveguides and passive components at subwavelength scale,” Opt. Express 18, 11728–11736 (2010).
[CrossRef]

2009 (3)

T. Holmgaard, Z. Chen, S. I. Bozhevolnyi, L. Markey, A. Dereux, A. V. Krasavin, and A. V. Zayats, “Wavelength selection by dielectric-loaded plasmonic components,” Appl. Phys. Lett. 94, 051111 (2009).
[CrossRef]

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature 461, 629–632 (2009).
[CrossRef]

J.-W. Mu, and W.-P. Huang, “A low-loss surface plasmonic Bragg grating,” J. Lightwave Technol. 27, 436–439 (2009).
[CrossRef]

2008 (3)

R. F. Oulton, V. J. Sorger, D. A. Genov, D. F. P. Pile, and X. Zhang, “A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation,” Nat. Photonics 2, 496–500 (2008).
[CrossRef]

J.-Q. Liu, L.-L. Wang, M.-D. He, W.-Q. Huang, D. Wang, B. S. Zou, and S. Wen, “A wide bandgap plasmonic Bragg reflector,” Opt. Express 16, 4888–4894 (2008).
[CrossRef]

J. Park, H. Kim, and B. Lee, “High order plasmonic Bragg reflection in the metal–insulator–metal waveguide Bragg grating,” Opt. Express 16, 413–425 (2008).
[CrossRef]

2007 (1)

Z. Han, E. Forsberg, and S. He, “Surface plasmon Bragg gratings formed in metal–insulator–metal waveguides,” IEEE Photon. Technol. Lett. 19, 91–93 (2007).
[CrossRef]

2006 (2)

A. Boltasseva, S. I. Bozhevolnyi, T. Nikolajsen, and K. Leosson, “Compact Bragg gratings for long-range surface plasmon polaritons,” J. Lightwave Technol. 24, 912–918 (2006).
[CrossRef]

A. Hosseini and Y. Massoud, “A low-loss metal–insulator–metal plasmonic Bragg reflector,” Opt. Express 14, 318–323 (2006).

2005 (2)

T. Tsuchizawa, K. Yamada, H. Fukuda, T. Watanabe, J.-i. Takahashi, M. Takahashi, T. Shoji, E. Tamechika, S. Itabashi, and H. Morita, “Microphotonics devices based on silicon microfabrication technology,” IEEE J. Sel. Top. Quantum Electron. 11, 232–240 (2005).
[CrossRef]

S. Jetté-Charbonneau, R. Charbonneau, N. Lahoud, G. Mattiussi, and P. Berini, “Demonstration of Bragg gratings based on long-ranging surface plasmon polariton waveguides,” Opt. Express 13, 4674–4682 (2005).
[CrossRef]

2003 (1)

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

1972 (1)

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

Barnes, W. L.

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

Bartal, G.

V. J. Sorger, Z. Ye, R. F. Oulton, Y. Wang, G. Bartal, X. Yin, and X. Zhang, “Experimental demonstration of low-loss optical waveguiding at deep sub-wavelength scales,” Nat. Commun. 2, 331 (2011).
[CrossRef]

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature 461, 629–632 (2009).
[CrossRef]

Berini, P.

S. Jetté-Charbonneau, R. Charbonneau, N. Lahoud, G. Mattiussi, and P. Berini, “Demonstration of Bragg gratings based on long-ranging surface plasmon polariton waveguides,” Opt. Express 13, 4674–4682 (2005).
[CrossRef]

Bian, Y.

J. Xiao, J. Liu, Z. Zheng, Y. Bian, and G. Wang, “Design and analysis of a nanostructure grating based on a hybrid plasmonic slot waveguide,” J. Opt. 13, 105001 (2011).
[CrossRef]

Boltasseva, A.

A. Boltasseva, S. I. Bozhevolnyi, T. Nikolajsen, and K. Leosson, “Compact Bragg gratings for long-range surface plasmon polaritons,” J. Lightwave Technol. 24, 912–918 (2006).
[CrossRef]

Bozhevolnyi, S. I.

T. Holmgaard, Z. Chen, S. I. Bozhevolnyi, L. Markey, A. Dereux, A. V. Krasavin, and A. V. Zayats, “Wavelength selection by dielectric-loaded plasmonic components,” Appl. Phys. Lett. 94, 051111 (2009).
[CrossRef]

A. Boltasseva, S. I. Bozhevolnyi, T. Nikolajsen, and K. Leosson, “Compact Bragg gratings for long-range surface plasmon polaritons,” J. Lightwave Technol. 24, 912–918 (2006).
[CrossRef]

Chang, Y.-J.

Y.-J. Chang and G.-Y. Luo, “A narrow band metal–multi-insulator–metal waveguide plasmonic Bragg grating,” IEEE Photon. Technol. Lett. 22, 634–636 (2010).
[CrossRef]

Y.-J. Chang, “Design and analysis of metal/multi-insulator/metal waveguide plasmonic Bragg grating,” Opt. Express 18, 13258–13270 (2010).
[CrossRef]

Charbonneau, R.

S. Jetté-Charbonneau, R. Charbonneau, N. Lahoud, G. Mattiussi, and P. Berini, “Demonstration of Bragg gratings based on long-ranging surface plasmon polariton waveguides,” Opt. Express 13, 4674–4682 (2005).
[CrossRef]

Chen, Z.

T. Holmgaard, Z. Chen, S. I. Bozhevolnyi, L. Markey, A. Dereux, A. V. Krasavin, and A. V. Zayats, “Wavelength selection by dielectric-loaded plasmonic components,” Appl. Phys. Lett. 94, 051111 (2009).
[CrossRef]

Christy, R. W.

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

Dai, L.

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature 461, 629–632 (2009).
[CrossRef]

Dereux, A.

T. Holmgaard, Z. Chen, S. I. Bozhevolnyi, L. Markey, A. Dereux, A. V. Krasavin, and A. V. Zayats, “Wavelength selection by dielectric-loaded plasmonic components,” Appl. Phys. Lett. 94, 051111 (2009).
[CrossRef]

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

Ebbesen, T. W.

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

Forsberg, E.

Z. Han, E. Forsberg, and S. He, “Surface plasmon Bragg gratings formed in metal–insulator–metal waveguides,” IEEE Photon. Technol. Lett. 19, 91–93 (2007).
[CrossRef]

Fukuda, H.

T. Tsuchizawa, K. Yamada, H. Fukuda, T. Watanabe, J.-i. Takahashi, M. Takahashi, T. Shoji, E. Tamechika, S. Itabashi, and H. Morita, “Microphotonics devices based on silicon microfabrication technology,” IEEE J. Sel. Top. Quantum Electron. 11, 232–240 (2005).
[CrossRef]

Genov, D. A.

R. F. Oulton, V. J. Sorger, D. A. Genov, D. F. P. Pile, and X. Zhang, “A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation,” Nat. Photonics 2, 496–500 (2008).
[CrossRef]

Gladden, C.

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature 461, 629–632 (2009).
[CrossRef]

Han, Z.

M. Wu, Z. Han, and V. Van, “Conductor-gap-silicon plasmonic waveguides and passive components at subwavelength scale,” Opt. Express 18, 11728–11736 (2010).
[CrossRef]

Z. Han, E. Forsberg, and S. He, “Surface plasmon Bragg gratings formed in metal–insulator–metal waveguides,” IEEE Photon. Technol. Lett. 19, 91–93 (2007).
[CrossRef]

He, M.-D.

J.-Q. Liu, L.-L. Wang, M.-D. He, W.-Q. Huang, D. Wang, B. S. Zou, and S. Wen, “A wide bandgap plasmonic Bragg reflector,” Opt. Express 16, 4888–4894 (2008).
[CrossRef]

He, S.

Z. Han, E. Forsberg, and S. He, “Surface plasmon Bragg gratings formed in metal–insulator–metal waveguides,” IEEE Photon. Technol. Lett. 19, 91–93 (2007).
[CrossRef]

Holmgaard, T.

T. Holmgaard, Z. Chen, S. I. Bozhevolnyi, L. Markey, A. Dereux, A. V. Krasavin, and A. V. Zayats, “Wavelength selection by dielectric-loaded plasmonic components,” Appl. Phys. Lett. 94, 051111 (2009).
[CrossRef]

Hosseini, A.

A. Hosseini and Y. Massoud, “A low-loss metal–insulator–metal plasmonic Bragg reflector,” Opt. Express 14, 318–323 (2006).

Huang, W.-P.

J.-W. Mu, and W.-P. Huang, “A low-loss surface plasmonic Bragg grating,” J. Lightwave Technol. 27, 436–439 (2009).
[CrossRef]

Huang, W.-Q.

J.-Q. Liu, L.-L. Wang, M.-D. He, W.-Q. Huang, D. Wang, B. S. Zou, and S. Wen, “A wide bandgap plasmonic Bragg reflector,” Opt. Express 16, 4888–4894 (2008).
[CrossRef]

Itabashi, S.

T. Tsuchizawa, K. Yamada, H. Fukuda, T. Watanabe, J.-i. Takahashi, M. Takahashi, T. Shoji, E. Tamechika, S. Itabashi, and H. Morita, “Microphotonics devices based on silicon microfabrication technology,” IEEE J. Sel. Top. Quantum Electron. 11, 232–240 (2005).
[CrossRef]

Jetté-Charbonneau, S.

S. Jetté-Charbonneau, R. Charbonneau, N. Lahoud, G. Mattiussi, and P. Berini, “Demonstration of Bragg gratings based on long-ranging surface plasmon polariton waveguides,” Opt. Express 13, 4674–4682 (2005).
[CrossRef]

Johnson, P. B.

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

Kim, H.

J. Park, H. Kim, and B. Lee, “High order plasmonic Bragg reflection in the metal–insulator–metal waveguide Bragg grating,” Opt. Express 16, 413–425 (2008).
[CrossRef]

Krasavin, A. V.

T. Holmgaard, Z. Chen, S. I. Bozhevolnyi, L. Markey, A. Dereux, A. V. Krasavin, and A. V. Zayats, “Wavelength selection by dielectric-loaded plasmonic components,” Appl. Phys. Lett. 94, 051111 (2009).
[CrossRef]

Lahoud, N.

S. Jetté-Charbonneau, R. Charbonneau, N. Lahoud, G. Mattiussi, and P. Berini, “Demonstration of Bragg gratings based on long-ranging surface plasmon polariton waveguides,” Opt. Express 13, 4674–4682 (2005).
[CrossRef]

Lee, B.

J. Park, H. Kim, and B. Lee, “High order plasmonic Bragg reflection in the metal–insulator–metal waveguide Bragg grating,” Opt. Express 16, 413–425 (2008).
[CrossRef]

Leosson, K.

A. Boltasseva, S. I. Bozhevolnyi, T. Nikolajsen, and K. Leosson, “Compact Bragg gratings for long-range surface plasmon polaritons,” J. Lightwave Technol. 24, 912–918 (2006).
[CrossRef]

Liu, J.

J. Xiao, J. Liu, Z. Zheng, Y. Bian, and G. Wang, “Design and analysis of a nanostructure grating based on a hybrid plasmonic slot waveguide,” J. Opt. 13, 105001 (2011).
[CrossRef]

Liu, J.-Q.

J.-Q. Liu, L.-L. Wang, M.-D. He, W.-Q. Huang, D. Wang, B. S. Zou, and S. Wen, “A wide bandgap plasmonic Bragg reflector,” Opt. Express 16, 4888–4894 (2008).
[CrossRef]

Luo, G.-Y.

Y.-J. Chang and G.-Y. Luo, “A narrow band metal–multi-insulator–metal waveguide plasmonic Bragg grating,” IEEE Photon. Technol. Lett. 22, 634–636 (2010).
[CrossRef]

Ma, R.-M.

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature 461, 629–632 (2009).
[CrossRef]

Markey, L.

T. Holmgaard, Z. Chen, S. I. Bozhevolnyi, L. Markey, A. Dereux, A. V. Krasavin, and A. V. Zayats, “Wavelength selection by dielectric-loaded plasmonic components,” Appl. Phys. Lett. 94, 051111 (2009).
[CrossRef]

Massoud, Y.

A. Hosseini and Y. Massoud, “A low-loss metal–insulator–metal plasmonic Bragg reflector,” Opt. Express 14, 318–323 (2006).

Mattiussi, G.

S. Jetté-Charbonneau, R. Charbonneau, N. Lahoud, G. Mattiussi, and P. Berini, “Demonstration of Bragg gratings based on long-ranging surface plasmon polariton waveguides,” Opt. Express 13, 4674–4682 (2005).
[CrossRef]

Morita, H.

T. Tsuchizawa, K. Yamada, H. Fukuda, T. Watanabe, J.-i. Takahashi, M. Takahashi, T. Shoji, E. Tamechika, S. Itabashi, and H. Morita, “Microphotonics devices based on silicon microfabrication technology,” IEEE J. Sel. Top. Quantum Electron. 11, 232–240 (2005).
[CrossRef]

Mu, J.-W.

J.-W. Mu, and W.-P. Huang, “A low-loss surface plasmonic Bragg grating,” J. Lightwave Technol. 27, 436–439 (2009).
[CrossRef]

Nikolajsen, T.

A. Boltasseva, S. I. Bozhevolnyi, T. Nikolajsen, and K. Leosson, “Compact Bragg gratings for long-range surface plasmon polaritons,” J. Lightwave Technol. 24, 912–918 (2006).
[CrossRef]

Oulton, R. F.

V. J. Sorger, Z. Ye, R. F. Oulton, Y. Wang, G. Bartal, X. Yin, and X. Zhang, “Experimental demonstration of low-loss optical waveguiding at deep sub-wavelength scales,” Nat. Commun. 2, 331 (2011).
[CrossRef]

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature 461, 629–632 (2009).
[CrossRef]

R. F. Oulton, V. J. Sorger, D. A. Genov, D. F. P. Pile, and X. Zhang, “A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation,” Nat. Photonics 2, 496–500 (2008).
[CrossRef]

Park, J.

J. Park, H. Kim, and B. Lee, “High order plasmonic Bragg reflection in the metal–insulator–metal waveguide Bragg grating,” Opt. Express 16, 413–425 (2008).
[CrossRef]

Pile, D. F. P.

R. F. Oulton, V. J. Sorger, D. A. Genov, D. F. P. Pile, and X. Zhang, “A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation,” Nat. Photonics 2, 496–500 (2008).
[CrossRef]

Reed, G. T.

G. T. Reed, Silicon Photonics: The State of the Art (Wiley, 2008).

Shoji, T.

T. Tsuchizawa, K. Yamada, H. Fukuda, T. Watanabe, J.-i. Takahashi, M. Takahashi, T. Shoji, E. Tamechika, S. Itabashi, and H. Morita, “Microphotonics devices based on silicon microfabrication technology,” IEEE J. Sel. Top. Quantum Electron. 11, 232–240 (2005).
[CrossRef]

Sorger, V. J.

V. J. Sorger, Z. Ye, R. F. Oulton, Y. Wang, G. Bartal, X. Yin, and X. Zhang, “Experimental demonstration of low-loss optical waveguiding at deep sub-wavelength scales,” Nat. Commun. 2, 331 (2011).
[CrossRef]

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature 461, 629–632 (2009).
[CrossRef]

R. F. Oulton, V. J. Sorger, D. A. Genov, D. F. P. Pile, and X. Zhang, “A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation,” Nat. Photonics 2, 496–500 (2008).
[CrossRef]

Takahashi, J.-i.

T. Tsuchizawa, K. Yamada, H. Fukuda, T. Watanabe, J.-i. Takahashi, M. Takahashi, T. Shoji, E. Tamechika, S. Itabashi, and H. Morita, “Microphotonics devices based on silicon microfabrication technology,” IEEE J. Sel. Top. Quantum Electron. 11, 232–240 (2005).
[CrossRef]

Takahashi, M.

T. Tsuchizawa, K. Yamada, H. Fukuda, T. Watanabe, J.-i. Takahashi, M. Takahashi, T. Shoji, E. Tamechika, S. Itabashi, and H. Morita, “Microphotonics devices based on silicon microfabrication technology,” IEEE J. Sel. Top. Quantum Electron. 11, 232–240 (2005).
[CrossRef]

Tamechika, E.

T. Tsuchizawa, K. Yamada, H. Fukuda, T. Watanabe, J.-i. Takahashi, M. Takahashi, T. Shoji, E. Tamechika, S. Itabashi, and H. Morita, “Microphotonics devices based on silicon microfabrication technology,” IEEE J. Sel. Top. Quantum Electron. 11, 232–240 (2005).
[CrossRef]

Tsuchizawa, T.

T. Tsuchizawa, K. Yamada, H. Fukuda, T. Watanabe, J.-i. Takahashi, M. Takahashi, T. Shoji, E. Tamechika, S. Itabashi, and H. Morita, “Microphotonics devices based on silicon microfabrication technology,” IEEE J. Sel. Top. Quantum Electron. 11, 232–240 (2005).
[CrossRef]

Van, V.

M. Wu, Z. Han, and V. Van, “Conductor-gap-silicon plasmonic waveguides and passive components at subwavelength scale,” Opt. Express 18, 11728–11736 (2010).
[CrossRef]

Wang, D.

J.-Q. Liu, L.-L. Wang, M.-D. He, W.-Q. Huang, D. Wang, B. S. Zou, and S. Wen, “A wide bandgap plasmonic Bragg reflector,” Opt. Express 16, 4888–4894 (2008).
[CrossRef]

Wang, G.

J. Xiao, J. Liu, Z. Zheng, Y. Bian, and G. Wang, “Design and analysis of a nanostructure grating based on a hybrid plasmonic slot waveguide,” J. Opt. 13, 105001 (2011).
[CrossRef]

Wang, L.-L.

J.-Q. Liu, L.-L. Wang, M.-D. He, W.-Q. Huang, D. Wang, B. S. Zou, and S. Wen, “A wide bandgap plasmonic Bragg reflector,” Opt. Express 16, 4888–4894 (2008).
[CrossRef]

Wang, Y.

V. J. Sorger, Z. Ye, R. F. Oulton, Y. Wang, G. Bartal, X. Yin, and X. Zhang, “Experimental demonstration of low-loss optical waveguiding at deep sub-wavelength scales,” Nat. Commun. 2, 331 (2011).
[CrossRef]

Watanabe, T.

T. Tsuchizawa, K. Yamada, H. Fukuda, T. Watanabe, J.-i. Takahashi, M. Takahashi, T. Shoji, E. Tamechika, S. Itabashi, and H. Morita, “Microphotonics devices based on silicon microfabrication technology,” IEEE J. Sel. Top. Quantum Electron. 11, 232–240 (2005).
[CrossRef]

Wen, S.

J.-Q. Liu, L.-L. Wang, M.-D. He, W.-Q. Huang, D. Wang, B. S. Zou, and S. Wen, “A wide bandgap plasmonic Bragg reflector,” Opt. Express 16, 4888–4894 (2008).
[CrossRef]

Wu, M.

M. Wu, Z. Han, and V. Van, “Conductor-gap-silicon plasmonic waveguides and passive components at subwavelength scale,” Opt. Express 18, 11728–11736 (2010).
[CrossRef]

Xiao, J.

J. Xiao, J. Liu, Z. Zheng, Y. Bian, and G. Wang, “Design and analysis of a nanostructure grating based on a hybrid plasmonic slot waveguide,” J. Opt. 13, 105001 (2011).
[CrossRef]

Yamada, K.

T. Tsuchizawa, K. Yamada, H. Fukuda, T. Watanabe, J.-i. Takahashi, M. Takahashi, T. Shoji, E. Tamechika, S. Itabashi, and H. Morita, “Microphotonics devices based on silicon microfabrication technology,” IEEE J. Sel. Top. Quantum Electron. 11, 232–240 (2005).
[CrossRef]

Ye, Z.

V. J. Sorger, Z. Ye, R. F. Oulton, Y. Wang, G. Bartal, X. Yin, and X. Zhang, “Experimental demonstration of low-loss optical waveguiding at deep sub-wavelength scales,” Nat. Commun. 2, 331 (2011).
[CrossRef]

Yin, X.

V. J. Sorger, Z. Ye, R. F. Oulton, Y. Wang, G. Bartal, X. Yin, and X. Zhang, “Experimental demonstration of low-loss optical waveguiding at deep sub-wavelength scales,” Nat. Commun. 2, 331 (2011).
[CrossRef]

Zayats, A. V.

T. Holmgaard, Z. Chen, S. I. Bozhevolnyi, L. Markey, A. Dereux, A. V. Krasavin, and A. V. Zayats, “Wavelength selection by dielectric-loaded plasmonic components,” Appl. Phys. Lett. 94, 051111 (2009).
[CrossRef]

Zentgraf, T.

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature 461, 629–632 (2009).
[CrossRef]

Zhang, X.

V. J. Sorger, Z. Ye, R. F. Oulton, Y. Wang, G. Bartal, X. Yin, and X. Zhang, “Experimental demonstration of low-loss optical waveguiding at deep sub-wavelength scales,” Nat. Commun. 2, 331 (2011).
[CrossRef]

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature 461, 629–632 (2009).
[CrossRef]

R. F. Oulton, V. J. Sorger, D. A. Genov, D. F. P. Pile, and X. Zhang, “A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation,” Nat. Photonics 2, 496–500 (2008).
[CrossRef]

Zheng, Z.

J. Xiao, J. Liu, Z. Zheng, Y. Bian, and G. Wang, “Design and analysis of a nanostructure grating based on a hybrid plasmonic slot waveguide,” J. Opt. 13, 105001 (2011).
[CrossRef]

Zou, B. S.

J.-Q. Liu, L.-L. Wang, M.-D. He, W.-Q. Huang, D. Wang, B. S. Zou, and S. Wen, “A wide bandgap plasmonic Bragg reflector,” Opt. Express 16, 4888–4894 (2008).
[CrossRef]

Appl. Phys. Lett. (1)

T. Holmgaard, Z. Chen, S. I. Bozhevolnyi, L. Markey, A. Dereux, A. V. Krasavin, and A. V. Zayats, “Wavelength selection by dielectric-loaded plasmonic components,” Appl. Phys. Lett. 94, 051111 (2009).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

T. Tsuchizawa, K. Yamada, H. Fukuda, T. Watanabe, J.-i. Takahashi, M. Takahashi, T. Shoji, E. Tamechika, S. Itabashi, and H. Morita, “Microphotonics devices based on silicon microfabrication technology,” IEEE J. Sel. Top. Quantum Electron. 11, 232–240 (2005).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

Z. Han, E. Forsberg, and S. He, “Surface plasmon Bragg gratings formed in metal–insulator–metal waveguides,” IEEE Photon. Technol. Lett. 19, 91–93 (2007).
[CrossRef]

Y.-J. Chang and G.-Y. Luo, “A narrow band metal–multi-insulator–metal waveguide plasmonic Bragg grating,” IEEE Photon. Technol. Lett. 22, 634–636 (2010).
[CrossRef]

J. Lightwave Technol. (2)

A. Boltasseva, S. I. Bozhevolnyi, T. Nikolajsen, and K. Leosson, “Compact Bragg gratings for long-range surface plasmon polaritons,” J. Lightwave Technol. 24, 912–918 (2006).
[CrossRef]

J.-W. Mu, and W.-P. Huang, “A low-loss surface plasmonic Bragg grating,” J. Lightwave Technol. 27, 436–439 (2009).
[CrossRef]

J. Opt. (1)

J. Xiao, J. Liu, Z. Zheng, Y. Bian, and G. Wang, “Design and analysis of a nanostructure grating based on a hybrid plasmonic slot waveguide,” J. Opt. 13, 105001 (2011).
[CrossRef]

Nat. Commun. (1)

V. J. Sorger, Z. Ye, R. F. Oulton, Y. Wang, G. Bartal, X. Yin, and X. Zhang, “Experimental demonstration of low-loss optical waveguiding at deep sub-wavelength scales,” Nat. Commun. 2, 331 (2011).
[CrossRef]

Nat. Photonics (1)

R. F. Oulton, V. J. Sorger, D. A. Genov, D. F. P. Pile, and X. Zhang, “A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation,” Nat. Photonics 2, 496–500 (2008).
[CrossRef]

Nature (2)

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature 461, 629–632 (2009).
[CrossRef]

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

Opt. Express (6)

S. Jetté-Charbonneau, R. Charbonneau, N. Lahoud, G. Mattiussi, and P. Berini, “Demonstration of Bragg gratings based on long-ranging surface plasmon polariton waveguides,” Opt. Express 13, 4674–4682 (2005).
[CrossRef]

A. Hosseini and Y. Massoud, “A low-loss metal–insulator–metal plasmonic Bragg reflector,” Opt. Express 14, 318–323 (2006).

J.-Q. Liu, L.-L. Wang, M.-D. He, W.-Q. Huang, D. Wang, B. S. Zou, and S. Wen, “A wide bandgap plasmonic Bragg reflector,” Opt. Express 16, 4888–4894 (2008).
[CrossRef]

J. Park, H. Kim, and B. Lee, “High order plasmonic Bragg reflection in the metal–insulator–metal waveguide Bragg grating,” Opt. Express 16, 413–425 (2008).
[CrossRef]

M. Wu, Z. Han, and V. Van, “Conductor-gap-silicon plasmonic waveguides and passive components at subwavelength scale,” Opt. Express 18, 11728–11736 (2010).
[CrossRef]

Y.-J. Chang, “Design and analysis of metal/multi-insulator/metal waveguide plasmonic Bragg grating,” Opt. Express 18, 13258–13270 (2010).
[CrossRef]

Phys. Rev. B (1)

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

Other (1)

G. T. Reed, Silicon Photonics: The State of the Art (Wiley, 2008).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (6)

Fig. 1.
Fig. 1.

Sinusoidally width-modulated plasmonic waveguide Bragg grating in MMIM configuration: (a) the perspective view and (b) a 2D representation (top view) of the staircase approximation to the 3D unit cell. The dimensions marked in (a) are in units of nanometer.

Fig. 2.
Fig. 2.

Transformation from 3D MMIM waveguide Bragg grating to 1D grating problem: (a) the normalized |Ex| fields of the first five hybrid modes supported by straight MMIM guides with differing Si strip widths and (b) the transformed 1D sinusoidally stratified medium in one period and the associated transmission-line network.

Fig. 3.
Fig. 3.

(a) Projected band structure (propagating states, black; evanescent states, white) associated with the transformed 1D grating. (b) Comparisons between the semi-analytically calculated reflectance spectrum of the transformed 1D grating and the 3D-FDTD-simulated transmission spectrum of the actual device. The 3D MMIM grating under consideration was synthesized using the second-order mode and the fourth Bragg order.

Fig. 4.
Fig. 4.

3D-FDTD-simulated transmission spectra of the present gratings synthesized using the second-order (quasi-TM11) mode and targeted Bragg orders three (Λ=1015.2nm), four (Λ=1353.7nm), and five (Λ=1692.1nm). The number of periods used for the third Bragg is five whereas that for the fourth and fifth Bragg is 10. The estimated Bragg orders based on 3D results are clearly labeled.

Fig. 5.
Fig. 5.

Comparisons between the third- and fourth-order Bragg MMIM gratings synthesized using the second- (quasi-TM11) and third-order (quasi-TM12) modes: (a) 3D-FDTD-simulated transmission spectra and (b) dispersion curves associated with the transformed 1D gratings near the fourth Bragg reflection.

Fig. 6.
Fig. 6.

Cross-sectional views of the z-directed time-average Poynting vector Sz at 10 equally spaced positions across the second unit cell at the stopband center for Bragg orders one to four: (a) 3D-FDTD simulation results and (b) schematic pictures of distinct plasmonic Sz patterns (white: Sz>0, gray: Sz<0). The number of plasmonic Sz patterns is identical to the Bragg order.

Tables (2)

Tables Icon

Table 1. Real Parts of the Effective Indices Re[Neff,i] Associated with the First Five Hybrid Modes in a 10-Section Staircase Approximation to the Case (AM,wgap)=(40,150)nm

Tables Icon

Table 2. Detailed Information on the Performance Parameters from 3D-FDTD-Simulated Transmission Spectra Given in Fig. 4

Equations (12)

Equations on this page are rendered with MathJax. Learn more.

ΛλB2ε¯[p+12p(11δ21)],
T̲̲=i=1nT̲̲i=T̲̲1T̲̲2T̲̲n=[ABCD]
T̲̲i=[cos(γidi)jZ0,isin(γidi)jY0,isin(γidi)cos(γidi)],
T̲̲x̲=τx̲
cos(κΛ)=(A+D)/2,
(T̲̲)M=[T11T12T21T22].
R=|(Zin,1Z0,in)/(Zin,1+Z0,in)|2,
Zin,1=T11Z0,out+T12T21Z0,out+T22
[c0(κΛπ)2][c0(κΛπ2p)2]cp2=0,
(δp)44p2(δp)2cp2=0.
κ=πΛ(pj|cp|2c0),
(c0p)2(κΛπp)2=(cp2c0)2,

Metrics