Abstract

Enhancement of resonant tunnelling of a wide beam through vertical subwavelength slow-light photonic-crystal waveguides (SPCWs) is considered. An assistant horizontal SPCW with a thin side wall, whose guided modes have small propagation constants, is used as an input coupler for the vertical SPCW, and the two SPCWs form a compact composite structure to enhance drastically the resonant tunnelling. An incident wide beam can excite strongly the guided modes of the horizontal SPCW, and then resonantly tunnels through the vertical SPCW efficiently. To further improve the resonant tunnelling of a wide beam, a periodic array of vertical SPCWs (with a horizontal SPCW as an input coupler) is also investigated. With this periodic structure, a wide beam can be transmitted nearly completely. When a wide beam tunnels through the vertical SPCWs efficiently, the excited fields inside the SPCWs are very strong.

© 2008 Optical Society of America

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References

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    [CrossRef]
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    [CrossRef]
  16. J. A. Porto, F. J. García-Vidal, and J. B. Pendry, "Transmission Resonances on Metallic Gratings with Very Narrow Slits," Phys. Rev. Lett. 83, 2845-2848 (1999).
    [CrossRef]
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2008 (2)

2007 (4)

P. Pottier, M. Gnan, and R. M. De La Rue, "Efficient coupling into slow-light photonic crystal channel guides using photonic crystal tapers," Opt. Express 15, 6569-6575 (2007).
[CrossRef]

J. P. Hugonin, P. Lalanne, T. P. White, and T. F. Krauss, "Coupling into slow-mode photonic crystal waveguides," Opt. Lett. 32, 2638-2640 (2007).
[CrossRef]

L. Yang, A. V. Lavrinenko, L. H. Frandsen, P. I. Borel, A. Tetu, and J. Fage-Pedersen, "Topology optimisation of slow light coupling to photonic crystal waveguides," Electron. Lett. 43, 923-924 (2007).
[CrossRef]

T. F. Krauss, "Slow light in photonic crystal waveguides," J. Phys. D: Appl. Phys. 40, 2666-2670 (2007).
[CrossRef]

2006 (3)

K. Kiyota, T. Kise, N. Yokouchi, T. Ide, and T. Baba, "Various low group velocity effects in photonic crystal line defect waveguides and their demonstration by laser oscillation," Appl. Phys. Lett. 88, 201904 (2006).
[CrossRef]

R. S. Jacobsen,  et al., "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef]

Y. A. Vlasov and S. J. McNab, "Coupling into the slow light mode in slab-type photonic crystal waveguides," Opt. Lett. 31, 50-52 (2006).
[CrossRef]

2005 (1)

Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65-69 (2005).
[CrossRef]

2004 (2)

D. Mori and T. Baba, "Dispersion-controlled optical group delay device by chirped photonic crystal waveguides," Appl. Phys. Lett. 85, 1101-1103 (2004).
[CrossRef]

A. Y. Petrov and M. Eich, "Zero dispersion at small group velocities in photonic crystal waveguides," Appl. Phys. Lett. 85, 4866-4868 (2004).
[CrossRef]

2002 (1)

2001 (1)

1999 (1)

J. A. Porto, F. J. García-Vidal, and J. B. Pendry, "Transmission Resonances on Metallic Gratings with Very Narrow Slits," Phys. Rev. Lett. 83, 2845-2848 (1999).
[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]

Baba, T.

T. Baba, "Slow light in photonic crystals," Nature Photon. 2, 465-473 (2008).
[CrossRef]

K. Kiyota, T. Kise, N. Yokouchi, T. Ide, and T. Baba, "Various low group velocity effects in photonic crystal line defect waveguides and their demonstration by laser oscillation," Appl. Phys. Lett. 88, 201904 (2006).
[CrossRef]

D. Mori and T. Baba, "Dispersion-controlled optical group delay device by chirped photonic crystal waveguides," Appl. Phys. Lett. 85, 1101-1103 (2004).
[CrossRef]

Beggs, D. M.

Borel, P. I.

L. Yang, A. V. Lavrinenko, L. H. Frandsen, P. I. Borel, A. Tetu, and J. Fage-Pedersen, "Topology optimisation of slow light coupling to photonic crystal waveguides," Electron. Lett. 43, 923-924 (2007).
[CrossRef]

De La Rue, R. M.

Ebbesen, T. W.

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]

Eich, M.

A. Y. Petrov and M. Eich, "Zero dispersion at small group velocities in photonic crystal waveguides," Appl. Phys. Lett. 85, 4866-4868 (2004).
[CrossRef]

Fage-Pedersen, J.

L. Yang, A. V. Lavrinenko, L. H. Frandsen, P. I. Borel, A. Tetu, and J. Fage-Pedersen, "Topology optimisation of slow light coupling to photonic crystal waveguides," Electron. Lett. 43, 923-924 (2007).
[CrossRef]

Fan, S. H.

Frandsen, L. H.

L. Yang, A. V. Lavrinenko, L. H. Frandsen, P. I. Borel, A. Tetu, and J. Fage-Pedersen, "Topology optimisation of slow light coupling to photonic crystal waveguides," Electron. Lett. 43, 923-924 (2007).
[CrossRef]

García-Vidal, F. J.

J. A. Porto, F. J. García-Vidal, and J. B. Pendry, "Transmission Resonances on Metallic Gratings with Very Narrow Slits," Phys. Rev. Lett. 83, 2845-2848 (1999).
[CrossRef]

Ghaemi, H. F.

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]

Gnan, M.

Hamann, H. F.

Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65-69 (2005).
[CrossRef]

Hugonin, J. P.

Ibanescu, M.

Ide, T.

K. Kiyota, T. Kise, N. Yokouchi, T. Ide, and T. Baba, "Various low group velocity effects in photonic crystal line defect waveguides and their demonstration by laser oscillation," Appl. Phys. Lett. 88, 201904 (2006).
[CrossRef]

Ippen, E.

Jacobsen, R. S.

R. S. Jacobsen,  et al., "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef]

Joannopoulos, J.

Joannopoulos, J. D.

Johnson, S.

Johnson, S. G.

Kise, T.

K. Kiyota, T. Kise, N. Yokouchi, T. Ide, and T. Baba, "Various low group velocity effects in photonic crystal line defect waveguides and their demonstration by laser oscillation," Appl. Phys. Lett. 88, 201904 (2006).
[CrossRef]

Kiyota, K.

K. Kiyota, T. Kise, N. Yokouchi, T. Ide, and T. Baba, "Various low group velocity effects in photonic crystal line defect waveguides and their demonstration by laser oscillation," Appl. Phys. Lett. 88, 201904 (2006).
[CrossRef]

Krauss, T. F.

Lalanne, P.

Lavrinenko, A. V.

L. Yang, A. V. Lavrinenko, L. H. Frandsen, P. I. Borel, A. Tetu, and J. Fage-Pedersen, "Topology optimisation of slow light coupling to photonic crystal waveguides," Electron. Lett. 43, 923-924 (2007).
[CrossRef]

Lezec, H. J.

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]

McNab, S. J.

Y. A. Vlasov and S. J. McNab, "Coupling into the slow light mode in slab-type photonic crystal waveguides," Opt. Lett. 31, 50-52 (2006).
[CrossRef]

Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65-69 (2005).
[CrossRef]

Mori, D.

D. Mori and T. Baba, "Dispersion-controlled optical group delay device by chirped photonic crystal waveguides," Appl. Phys. Lett. 85, 1101-1103 (2004).
[CrossRef]

O’Boyle, M.

Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65-69 (2005).
[CrossRef]

O’Faolain, L.

Pendry, J. B.

J. A. Porto, F. J. García-Vidal, and J. B. Pendry, "Transmission Resonances on Metallic Gratings with Very Narrow Slits," Phys. Rev. Lett. 83, 2845-2848 (1999).
[CrossRef]

Petrov, A. Y.

A. Y. Petrov and M. Eich, "Zero dispersion at small group velocities in photonic crystal waveguides," Appl. Phys. Lett. 85, 4866-4868 (2004).
[CrossRef]

Porto, J. A.

J. A. Porto, F. J. García-Vidal, and J. B. Pendry, "Transmission Resonances on Metallic Gratings with Very Narrow Slits," Phys. Rev. Lett. 83, 2845-2848 (1999).
[CrossRef]

Pottier, P.

Soljacic, M.

Tetu, A.

L. Yang, A. V. Lavrinenko, L. H. Frandsen, P. I. Borel, A. Tetu, and J. Fage-Pedersen, "Topology optimisation of slow light coupling to photonic crystal waveguides," Electron. Lett. 43, 923-924 (2007).
[CrossRef]

Thio, T.

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]

Vlasov, Y. A.

Y. A. Vlasov and S. J. McNab, "Coupling into the slow light mode in slab-type photonic crystal waveguides," Opt. Lett. 31, 50-52 (2006).
[CrossRef]

Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65-69 (2005).
[CrossRef]

White, T. P.

Wolff, P. A.

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]

Yang, L.

L. Yang, A. V. Lavrinenko, L. H. Frandsen, P. I. Borel, A. Tetu, and J. Fage-Pedersen, "Topology optimisation of slow light coupling to photonic crystal waveguides," Electron. Lett. 43, 923-924 (2007).
[CrossRef]

Yokouchi, N.

K. Kiyota, T. Kise, N. Yokouchi, T. Ide, and T. Baba, "Various low group velocity effects in photonic crystal line defect waveguides and their demonstration by laser oscillation," Appl. Phys. Lett. 88, 201904 (2006).
[CrossRef]

Appl. Phys. Lett. (3)

D. Mori and T. Baba, "Dispersion-controlled optical group delay device by chirped photonic crystal waveguides," Appl. Phys. Lett. 85, 1101-1103 (2004).
[CrossRef]

A. Y. Petrov and M. Eich, "Zero dispersion at small group velocities in photonic crystal waveguides," Appl. Phys. Lett. 85, 4866-4868 (2004).
[CrossRef]

K. Kiyota, T. Kise, N. Yokouchi, T. Ide, and T. Baba, "Various low group velocity effects in photonic crystal line defect waveguides and their demonstration by laser oscillation," Appl. Phys. Lett. 88, 201904 (2006).
[CrossRef]

Electron. Lett. (1)

L. Yang, A. V. Lavrinenko, L. H. Frandsen, P. I. Borel, A. Tetu, and J. Fage-Pedersen, "Topology optimisation of slow light coupling to photonic crystal waveguides," Electron. Lett. 43, 923-924 (2007).
[CrossRef]

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

J. Phys. D: Appl. Phys. (1)

T. F. Krauss, "Slow light in photonic crystal waveguides," J. Phys. D: Appl. Phys. 40, 2666-2670 (2007).
[CrossRef]

Nature (3)

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]

R. S. Jacobsen,  et al., "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef]

Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65-69 (2005).
[CrossRef]

Nature Photon. (1)

T. Baba, "Slow light in photonic crystals," Nature Photon. 2, 465-473 (2008).
[CrossRef]

Opt. Express (2)

Opt. Lett. (3)

Phys. Rev. Lett. (1)

J. A. Porto, F. J. García-Vidal, and J. B. Pendry, "Transmission Resonances on Metallic Gratings with Very Narrow Slits," Phys. Rev. Lett. 83, 2845-2848 (1999).
[CrossRef]

Other (2)

A. Taflove and S. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Norwood, 2000).

K. Sakoda, Optical Properties of Photonic Crystals (Springer, Berlin, 2001).

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