Abstract

We study propagation and switching of slow-light pulses in nonlinear couplers with phase-shifted Bragg gratings. We demonstrate that power-controlled nonlinear self-action of light can be used to compensate for dispersion-induced broadening of pulses through the formation of gap solitons, to control pulse switching in the coupler, and to tune the propagation velocity.

© 2007 Optical Society of America

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  1. Y. A. Vlasov, M. O'Boyle, H. F. Hamann, and S. J. McNab, Nature 438, 65 (2005).
    [CrossRef] [PubMed]
  2. H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, Phys. Rev. Lett. 94, 073903 (2005).
    [CrossRef] [PubMed]
  3. R. S. Jacobsen, A. V. Lavrinenko, L. H. Frandsen, C. Peucheret, B. Zsigri, G. Moulin, J. Fage Pedersen, and P. I. Borel, Opt. Express 13, 7861 (2005).
    [CrossRef] [PubMed]
  4. M. Soljacic, S. G. Johnson, S. H. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, J. Opt. Soc. Am. B 19, 2052 (2002).
    [CrossRef]
  5. J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, Nat. Phys. 2, 775 (2006).
    [CrossRef]
  6. R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, N. F. van Hulst, K. Asakawa, and L. Kuipers, Opt. Express 14, 1658 (2006).
    [CrossRef] [PubMed]
  7. S. M. Jensen, IEEE Trans. Microwave Theory Tech. MTT-30, 1568 (1982).
    [CrossRef]
  8. A. A. Maier, Kvantovaya Elektron. (Moscow) 9, 2296 (1982), A. A. Maier,[Quantum Electron. 12, 1490 (1982)].
  9. S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, Appl. Phys. Lett. 51, 1135 (1987).
    [CrossRef]
  10. S. S. Orlov, A. Yariv, and S. Van Essen, Opt. Lett. 22, 688 (1997).
    [CrossRef] [PubMed]
  11. G. Perrone, M. Laurenzano, and I. Montrosset, J. Lightwave Technol. 19, 1943 (2001).
    [CrossRef]
  12. S. Tomljenovic Hanic and J. D. Love, J. Opt. Soc. Am. A 22, 1615 (2005).
    [CrossRef]
  13. M. Aslund, J. Canning, L. Poladian, C. M. de Sterke, and A. Judge, Appl. Opt. 42, 6578 (2003).
    [CrossRef] [PubMed]
  14. J. M. Castro, D. F. Geraghty, S. Honkanen, C. M. Greiner, D. Iazikov, and T. W. Mossberg, Appl. Opt. 45, 1236 (2006).
    [CrossRef] [PubMed]
  15. M. Imai and S. Sato, in Photonics Based on Wavelength Integration and Manipulation, Vol. 2 of IPAP Books, K. Tada, T. Suhara, K. Kikuchi, Y. Kokubun, K. Utaka, M. Asada, F. Koyama, and T. Arakawa, eds. (Institute of Pure and Applied Physics, 2005), pp. 293-302.
  16. W. C. K. Mak, P. L. Chu, and B. A. Malomed, J. Opt. Soc. Am. B 15, 1685 (1998).
    [CrossRef]
  17. W. C. K. Mak, B. A. Malomed, and P. L. Chu, Phys. Rev. E 69, 066610 (2004).
    [CrossRef]
  18. A. Gubeskys and B. A. Malomed, Eur. Phys. J. D 28, 283 (2004).
    [CrossRef]
  19. G. P. Agrawal, Nonlinear Fiber Optics (Academic, 1988).
  20. D. C. Psaila and C. M. de Sterke, Opt. Lett. 18, 1905 (1993).
    [CrossRef] [PubMed]
  21. P. Millar, R. M. De la Rue, T. F. Krauss, J. S. Aitchison, N. G. R. Broderick, and D. J. Richardson, Opt. Lett. 24, 685 (1999).
    [CrossRef]
  22. M. Shokooh Saremi, V. G. Ta'eed, N. J. Baker, I. C. M. Littler, D. J. Moss, B. J. Eggleton, Y. L. Ruan, and B. Luther-Davies, J. Opt. Soc. Am. B 23, 1323 (2006).
    [CrossRef]
  23. D. Mori and T. Baba, Opt. Express 13, 9398 (2005).
    [CrossRef] [PubMed]
  24. M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, Phys. Rev. Lett. 92, 063903 (2004).
    [CrossRef] [PubMed]
  25. A. A. Sukhorukov and Yu. S. Kivshar, Phys. Rev. Lett. 97, 233901 (2006).
    [CrossRef]

2006 (5)

2005 (5)

2004 (3)

W. C. K. Mak, B. A. Malomed, and P. L. Chu, Phys. Rev. E 69, 066610 (2004).
[CrossRef]

A. Gubeskys and B. A. Malomed, Eur. Phys. J. D 28, 283 (2004).
[CrossRef]

M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, Phys. Rev. Lett. 92, 063903 (2004).
[CrossRef] [PubMed]

2003 (1)

2002 (1)

2001 (1)

1999 (1)

1998 (1)

1997 (1)

1993 (1)

1987 (1)

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, Appl. Phys. Lett. 51, 1135 (1987).
[CrossRef]

1982 (2)

S. M. Jensen, IEEE Trans. Microwave Theory Tech. MTT-30, 1568 (1982).
[CrossRef]

A. A. Maier, Kvantovaya Elektron. (Moscow) 9, 2296 (1982), A. A. Maier,[Quantum Electron. 12, 1490 (1982)].

A. A. Maier, Kvantovaya Elektron. (Moscow) 9, 2296 (1982), A. A. Maier,[Quantum Electron. 12, 1490 (1982)].

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 1988).

Aitchison, J. S.

Andrejco, M. J.

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, Appl. Phys. Lett. 51, 1135 (1987).
[CrossRef]

Asakawa, K.

Aslund, M.

Baba, T.

Baker, N. J.

Bogaerts, W.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, Phys. Rev. Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

Borel, P. I.

Broderick, N. G. R.

Canning, J.

Castro, J. M.

Chu, P. L.

W. C. K. Mak, B. A. Malomed, and P. L. Chu, Phys. Rev. E 69, 066610 (2004).
[CrossRef]

W. C. K. Mak, P. L. Chu, and B. A. Malomed, J. Opt. Soc. Am. B 15, 1685 (1998).
[CrossRef]

De la Rue, R. M.

de Sterke, C. M.

Eggleton, B. J.

Engelen, R. J. P.

R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, N. F. van Hulst, K. Asakawa, and L. Kuipers, Opt. Express 14, 1658 (2006).
[CrossRef] [PubMed]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, Phys. Rev. Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

Fage Pedersen, J.

Fan, S. H.

Fink, Y.

M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, Phys. Rev. Lett. 92, 063903 (2004).
[CrossRef] [PubMed]

Frandsen, L. H.

Friberg, S. R.

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, Appl. Phys. Lett. 51, 1135 (1987).
[CrossRef]

Geraghty, D. F.

Gersen, H.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, Phys. Rev. Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

Greiner, C. M.

Gubeskys, A.

A. Gubeskys and B. A. Malomed, Eur. Phys. J. D 28, 283 (2004).
[CrossRef]

Hamann, H. F.

Y. A. Vlasov, M. O'Boyle, H. F. Hamann, and S. J. McNab, Nature 438, 65 (2005).
[CrossRef] [PubMed]

Honkanen, S.

Iazikov, D.

Ibanescu, M.

M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, Phys. Rev. Lett. 92, 063903 (2004).
[CrossRef] [PubMed]

M. Soljacic, S. G. Johnson, S. H. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, J. Opt. Soc. Am. B 19, 2052 (2002).
[CrossRef]

Ikeda, N.

Imai, M.

M. Imai and S. Sato, in Photonics Based on Wavelength Integration and Manipulation, Vol. 2 of IPAP Books, K. Tada, T. Suhara, K. Kikuchi, Y. Kokubun, K. Utaka, M. Asada, F. Koyama, and T. Arakawa, eds. (Institute of Pure and Applied Physics, 2005), pp. 293-302.

Ippen, E.

Jacobsen, R. S.

Jensen, S. M.

S. M. Jensen, IEEE Trans. Microwave Theory Tech. MTT-30, 1568 (1982).
[CrossRef]

Joannopoulos, J. D.

M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, Phys. Rev. Lett. 92, 063903 (2004).
[CrossRef] [PubMed]

M. Soljacic, S. G. Johnson, S. H. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, J. Opt. Soc. Am. B 19, 2052 (2002).
[CrossRef]

Johnson, S. G.

M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, Phys. Rev. Lett. 92, 063903 (2004).
[CrossRef] [PubMed]

M. Soljacic, S. G. Johnson, S. H. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, J. Opt. Soc. Am. B 19, 2052 (2002).
[CrossRef]

Judge, A.

Karle, T. J.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, Phys. Rev. Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

Kivshar, Yu. S.

A. A. Sukhorukov and Yu. S. Kivshar, Phys. Rev. Lett. 97, 233901 (2006).
[CrossRef]

Korterik, J. P.

R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, N. F. van Hulst, K. Asakawa, and L. Kuipers, Opt. Express 14, 1658 (2006).
[CrossRef] [PubMed]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, Phys. Rev. Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

Krauss, T. F.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, Phys. Rev. Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

P. Millar, R. M. De la Rue, T. F. Krauss, J. S. Aitchison, N. G. R. Broderick, and D. J. Richardson, Opt. Lett. 24, 685 (1999).
[CrossRef]

Kuipers, L.

R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, N. F. van Hulst, K. Asakawa, and L. Kuipers, Opt. Express 14, 1658 (2006).
[CrossRef] [PubMed]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, Phys. Rev. Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

Laurenzano, M.

Lavrinenko, A. V.

Littler, I. C. M.

Love, J. D.

Luo, C.

M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, Phys. Rev. Lett. 92, 063903 (2004).
[CrossRef] [PubMed]

Luther-Davies, B.

Maier, A. A.

A. A. Maier, Kvantovaya Elektron. (Moscow) 9, 2296 (1982), A. A. Maier,[Quantum Electron. 12, 1490 (1982)].

A. A. Maier, Kvantovaya Elektron. (Moscow) 9, 2296 (1982), A. A. Maier,[Quantum Electron. 12, 1490 (1982)].

Mak, W. C. K.

W. C. K. Mak, B. A. Malomed, and P. L. Chu, Phys. Rev. E 69, 066610 (2004).
[CrossRef]

W. C. K. Mak, P. L. Chu, and B. A. Malomed, J. Opt. Soc. Am. B 15, 1685 (1998).
[CrossRef]

Malomed, B. A.

W. C. K. Mak, B. A. Malomed, and P. L. Chu, Phys. Rev. E 69, 066610 (2004).
[CrossRef]

A. Gubeskys and B. A. Malomed, Eur. Phys. J. D 28, 283 (2004).
[CrossRef]

W. C. K. Mak, P. L. Chu, and B. A. Malomed, J. Opt. Soc. Am. B 15, 1685 (1998).
[CrossRef]

McNab, S. J.

Y. A. Vlasov, M. O'Boyle, H. F. Hamann, and S. J. McNab, Nature 438, 65 (2005).
[CrossRef] [PubMed]

Millar, P.

Mok, J. T.

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, Nat. Phys. 2, 775 (2006).
[CrossRef]

Montrosset, I.

Mori, D.

Moss, D. J.

Mossberg, T. W.

Moulin, G.

O'Boyle, M.

Y. A. Vlasov, M. O'Boyle, H. F. Hamann, and S. J. McNab, Nature 438, 65 (2005).
[CrossRef] [PubMed]

Oliver, M. K.

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, Appl. Phys. Lett. 51, 1135 (1987).
[CrossRef]

Orlov, S. S.

Perrone, G.

Peucheret, C.

Poladian, L.

Psaila, D. C.

Richardson, D. J.

Roundy, D.

M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, Phys. Rev. Lett. 92, 063903 (2004).
[CrossRef] [PubMed]

Ruan, Y. L.

Saifi, M. A.

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, Appl. Phys. Lett. 51, 1135 (1987).
[CrossRef]

Sato, S.

M. Imai and S. Sato, in Photonics Based on Wavelength Integration and Manipulation, Vol. 2 of IPAP Books, K. Tada, T. Suhara, K. Kikuchi, Y. Kokubun, K. Utaka, M. Asada, F. Koyama, and T. Arakawa, eds. (Institute of Pure and Applied Physics, 2005), pp. 293-302.

Shokooh Saremi, M.

Silberberg, Y.

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, Appl. Phys. Lett. 51, 1135 (1987).
[CrossRef]

Smith, P. W.

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, Appl. Phys. Lett. 51, 1135 (1987).
[CrossRef]

Soljacic, M.

Sugimoto, Y.

Sukhorukov, A. A.

A. A. Sukhorukov and Yu. S. Kivshar, Phys. Rev. Lett. 97, 233901 (2006).
[CrossRef]

Ta'eed, V. G.

Tomljenovic Hanic, S.

Van Essen, S.

van Hulst, N. F.

R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, N. F. van Hulst, K. Asakawa, and L. Kuipers, Opt. Express 14, 1658 (2006).
[CrossRef] [PubMed]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, Phys. Rev. Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

Vlasov, Y. A.

Y. A. Vlasov, M. O'Boyle, H. F. Hamann, and S. J. McNab, Nature 438, 65 (2005).
[CrossRef] [PubMed]

Watanabe, Y.

Yariv, A.

Zsigri, B.

Appl. Opt. (2)

Appl. Phys. Lett. (1)

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, Appl. Phys. Lett. 51, 1135 (1987).
[CrossRef]

Eur. Phys. J. D (1)

A. Gubeskys and B. A. Malomed, Eur. Phys. J. D 28, 283 (2004).
[CrossRef]

IEEE Trans. Microwave Theory Tech. (1)

S. M. Jensen, IEEE Trans. Microwave Theory Tech. MTT-30, 1568 (1982).
[CrossRef]

J. Lightwave Technol. (1)

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

J. Opt. Soc. Am. B (3)

Kvantovaya Elektron. (Moscow) (1)

A. A. Maier, Kvantovaya Elektron. (Moscow) 9, 2296 (1982), A. A. Maier,[Quantum Electron. 12, 1490 (1982)].

Nat. Phys. (1)

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, Nat. Phys. 2, 775 (2006).
[CrossRef]

Nature (1)

Y. A. Vlasov, M. O'Boyle, H. F. Hamann, and S. J. McNab, Nature 438, 65 (2005).
[CrossRef] [PubMed]

Opt. Express (3)

Opt. Lett. (3)

Phys. Rev. E (1)

W. C. K. Mak, B. A. Malomed, and P. L. Chu, Phys. Rev. E 69, 066610 (2004).
[CrossRef]

Phys. Rev. Lett. (3)

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, Phys. Rev. Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, Phys. Rev. Lett. 92, 063903 (2004).
[CrossRef] [PubMed]

A. A. Sukhorukov and Yu. S. Kivshar, Phys. Rev. Lett. 97, 233901 (2006).
[CrossRef]

Other (2)

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 1988).

M. Imai and S. Sato, in Photonics Based on Wavelength Integration and Manipulation, Vol. 2 of IPAP Books, K. Tada, T. Suhara, K. Kikuchi, Y. Kokubun, K. Utaka, M. Asada, F. Koyama, and T. Arakawa, eds. (Institute of Pure and Applied Physics, 2005), pp. 293-302.

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Figures (4)

Fig. 1
Fig. 1

(a), (b) Schematic of directional couplers with (a) in-phase ( ρ 1 = ρ 2 = 0.5 ) or (b) out-of-phase ( ρ 1 = ρ 2 = 0.5 ) Bragg gratings. (c), (d) Characteristic dispersion and (e), (f) normalized group-velocity dependence on wavelength detuning for the case of (c), (e) in-phase and (d), (f) out-of-phase gratings. For all the plots, C 0.144 . Solid and dotted curves mark different branches; note their overlap in (f).

Fig. 2
Fig. 2

Linear transmission of incident wave coupled to the first waveguide of a semi-infinite ( z 0 ) coupler with (a), (c), (e) in-phase and (b), (d), (f) out-of-phase Bragg gratings: (a)–(d) Intensity distribution (averaged over grating period) shown in the first (solid curve) and second (dashed curve) waveguides for (a), (b) large frequency detuning from the resonance and (c), (d) frequency tuned close to the band edge with slow group velocity v g = 0.1 . (e), (f) Intensities at z = 2 cm versus wavelength detuning. Parameters correspond to Fig. 1, and the intensities are normalized to the input intensity.

Fig. 3
Fig. 3

(a)–(d) Pulse dynamics inside the nonlinear coupler for different values of the normalized peak input intensities I 0 = 10 4 , 3.33 , 3.37 , 4 . Shown are the density plots of intensity in the first (left column) and second (middle column) waveguides. Output intensity profiles normalized to I 0 at the first (solid curve) and second (dashed curve) waveguides are shown in the right-hand column. The input Gaussian pulse has a full width at half-maximum intensity of 577 ps , and its central wavelength is tuned to the gap edge at λ 0 Δ λ 0 2 .

Fig. 4
Fig. 4

Dependence of output pulse characteristics on the input peak intensity: (a) output power normalized to the input power; (b) pulse full-width at half-maximum intensity, where the dotted curve marks the input pulse width; (c) pulse delay relative to propagation without the Bragg grating normalized to the input pulse width. In all the plots, solid and dashed curves correspond to the outputs at the first and second waveguides, respectively.

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