Abstract

We demonstrate that a nonlinear directional coupler with special bending of waveguide axes can be used for all-optical switching of polychromatic light with a very broad spectrum covering all of the visible region. The bandwidth of the suggested device is enhanced five times compared with conventional couplers. Our results suggest novel opportunities for the creation of all-optical logical gates and switches for polychromatic light with white-light and supercontinuum spectra.

© 2007 Optical Society of America

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2006 (3)

2005 (2)

2004 (2)

2002 (1)

2000 (1)

1997 (1)

M. Mitchell and M. Segev, Nature 387, 880 (1997).
[CrossRef]

1995 (2)

M. A. Karpierz and T. R. Wolinski, Pure Appl. Opt. 4, 61 (1995).
[CrossRef]

I. M. Skinner, G. D. Peng, B. A. Malomed, and P. L. Chu, Opt. Commun. 113, 493 (1995).
[CrossRef]

1993 (1)

G. Assanto, G. Stegeman, M. Sheik-Bahae, and E. Van Stryland, Appl. Phys. Lett. 62, 1323 (1993).
[CrossRef]

1990 (1)

V. Leutheuser, U. Langbein, and F. Lederer, Opt. Eng. 75, 251 (1990).

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) [Sov. J. Quantum Electron. 12, 1490 (1982)].

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

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]

Assanto, G.

G. Assanto, G. Stegeman, M. Sheik-Bahae, and E. Van Stryland, Appl. Phys. Lett. 62, 1323 (1993).
[CrossRef]

Austin, M. W.

Betlej, A.

Birks, T. A.

Bise, R. T.

Buljan, H.

Chen, F.

Christodoulides, D. N.

Chu, P. L.

I. M. Skinner, G. D. Peng, B. A. Malomed, and P. L. Chu, Opt. Commun. 113, 493 (1995).
[CrossRef]

DiGiovanni, J.

Fini, J.

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]

Jankovic, L.

Jensen, S. M.

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

Karpierz, M. A.

M. A. Karpierz and T. R. Wolinski, Pure Appl. Opt. 4, 61 (1995).
[CrossRef]

Kip, D.

Kivshar, Yu. S.

Knight, J. C.

Krolikowski, W.

Langbein, U.

V. Leutheuser, U. Langbein, and F. Lederer, Opt. Eng. 75, 251 (1990).

Laporta, P.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, and P. Laporta, Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef] [PubMed]

Lederer, F.

V. Leutheuser, U. Langbein, and F. Lederer, Opt. Eng. 75, 251 (1990).

Leutheuser, V.

V. Leutheuser, U. Langbein, and F. Lederer, Opt. Eng. 75, 251 (1990).

Lobino, M.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, and P. Laporta, Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef] [PubMed]

Longhi, S.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, and P. Laporta, Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef] [PubMed]

S. Longhi, Phys. Rev. A 71, 65801 (2005).
[CrossRef]

Maier, A. A.

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

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

Makris, K. G.

Malomed, B. A.

I. M. Skinner, G. D. Peng, B. A. Malomed, and P. L. Chu, Opt. Commun. 113, 493 (1995).
[CrossRef]

Man, T. P. M.

Manela, O.

Marangoni, M.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, and P. Laporta, Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef] [PubMed]

Matuszewski, M.

Mendes, R. V.

R. V. Mendes, Opt. Commun. 232, 425 (2004).
[CrossRef]

Mitchell, A.

Mitchell, M.

M. Mitchell and M. Segev, Nature 387, 880 (1997).
[CrossRef]

Neshev, D. N.

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]

Ortigosa Blanch, A.

Peng, G. D.

I. M. Skinner, G. D. Peng, B. A. Malomed, and P. L. Chu, Opt. Commun. 113, 493 (1995).
[CrossRef]

Ramponi, R.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, and P. Laporta, Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef] [PubMed]

Ranka, J. K.

Rosberg, C. R.

Runde, D.

Russell, P. St. J.

Ruter, C. E.

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]

Schwartz, T.

Segev, M.

Shandarov, V.

Sheik-Bahae, M.

G. Assanto, G. Stegeman, M. Sheik-Bahae, and E. Van Stryland, Appl. Phys. Lett. 62, 1323 (1993).
[CrossRef]

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]

Skinner, I. M.

I. M. Skinner, G. D. Peng, B. A. Malomed, and P. L. Chu, Opt. Commun. 113, 493 (1995).
[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.

Stegeman, G.

G. Assanto, G. Stegeman, M. Sheik-Bahae, and E. Van Stryland, Appl. Phys. Lett. 62, 1323 (1993).
[CrossRef]

Stegeman, G. I.

Stentz, A. J.

Stepic, M.

Sukhorukov, A. A.

Suntsov, S.

Trippenbach, M.

Van Stryland, E.

G. Assanto, G. Stegeman, M. Sheik-Bahae, and E. Van Stryland, Appl. Phys. Lett. 62, 1323 (1993).
[CrossRef]

Wadsworth, W. J.

Windeler, R. S.

Wolinski, T. R.

M. A. Karpierz and T. R. Wolinski, Pure Appl. Opt. 4, 61 (1995).
[CrossRef]

Appl. Phys. Lett. (2)

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]

G. Assanto, G. Stegeman, M. Sheik-Bahae, and E. Van Stryland, Appl. Phys. Lett. 62, 1323 (1993).
[CrossRef]

IEEE Trans. Microwave Theory Tech. (1)

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

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

Kvantovaya Elektron. (Moscow) (1)

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

Nature (1)

M. Mitchell and M. Segev, Nature 387, 880 (1997).
[CrossRef]

Opt. Commun. (2)

R. V. Mendes, Opt. Commun. 232, 425 (2004).
[CrossRef]

I. M. Skinner, G. D. Peng, B. A. Malomed, and P. L. Chu, Opt. Commun. 113, 493 (1995).
[CrossRef]

Opt. Eng. (1)

V. Leutheuser, U. Langbein, and F. Lederer, Opt. Eng. 75, 251 (1990).

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. A (1)

S. Longhi, Phys. Rev. A 71, 65801 (2005).
[CrossRef]

Phys. Rev. Lett. (1)

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, and P. Laporta, Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef] [PubMed]

Pure Appl. Opt. (1)

M. A. Karpierz and T. R. Wolinski, Pure Appl. Opt. 4, 61 (1995).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

(a) Conventional directional coupler composed of two evanescently coupled straight waveguides. (b) Polychromatic coupler with specially designed bending of the waveguide axes. (c) Wavelength dependence of the coupling coefficient between straight waveguides. (d) Effective coupling in the curved coupler shown in (b). Waveguide width and separation between waveguide axes are 3 and 9 μ m , respectively. Refractive index contrast is Δ ν = 8 × 10 4 , and n 0 = 2.35 .

Fig. 2
Fig. 2

(a), (b) Wavelength dependence of linear transmission characteristics for straight and optimized curved couplers, respectively. Shown are output powers in the left (dashed curve, P 1 ) and right (solid curve, P 2 ) coupler arms, when light is fed into the left arm of the coupler. Shading marks spectral regions where the switching ratio P 2 P 1 is larger than 10. (c), (d) Evolution of polychromatic light with flat spectrum covering 450 700 nm in the straight and in the optimized curved structures, respectively. Top panels in (c) and (d) show the total intensity distributions at the output.

Fig. 3
Fig. 3

Nonlinear switching of polychromatic light. (a) Power distribution at the output ports of the coupler as a function of the input power. Polychromatic input is the same as in Figs. 2c, 2d. Solid and dashed curves show power in the left ( P 1 ) and in the right ( P 2 ) output coupler ports, respectively. (b) Sensitivity function γ describing wavelength dispersion of the nonlinear response. (c), (d) Propagation dynamics and output spectrum, respectively, in the nonlinear switched state realized at the total input power P in = 0.085 . Nonlinear coefficient is α = 10 .

Equations (2)

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i A m z + z s λ m 4 π n 0 x s 2 2 A m x 2 + 2 π z s λ m { ν [ x x 0 ( z ) ] + G } A m = 0 ,
C eff ( λ ) = C ( λ ) L 1 0 L cos [ 2 π n 0 a x ̇ 0 ( z ) λ ] d z .

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