Abstract

We report the first experimental realization of an all-optical temporal integrator. The integrator is implemented using an all-fiber active (gain-assisted) filter based on superimposed fiber Bragg gratings made in an Er-Yb co-doped optical fiber that behaves like an ‘optical capacitor’. Functionality of this device was tested by integrating different optical pulses, with time duration down to 60 ps, and by integration of two consecutive pulses that had different relative phases, separated by up to 1 ns. The potential of the developed device for implementing all-optical computing systems for solving ordinary differential equations was also experimentally tested.

© 2008 Optical Society of America

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  10. M. Kulishov and J. Azaña, "Long-period fiber gratings as ultrafast optical differentiators," Opt. Lett. 30, 2700-2702 (2005).
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  11. R. Slavík, Y. Park, M. Kulishov, R. Morandotti, and J. Azaña, "Ultrafast all-optical differentiators, " Opt. Express 14, 10699-10707 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-22-10699.
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  15. R. Slavík, L. K. Oxenløwe, M. Galili, H. C. H. Mulvad, Y. Park, J. Azaña, and P. Jeppesen, "Demultiplexing of 320 and 640 Gbit/s OTDM data using ultrashort flat-top pulses," IEEE Photon. Technol. Lett. 19,1855-1857 (2007).
    [CrossRef]
  16. F. Li, Y. Park, and J. Azaña, "Complete temporal pulse characterization based on phase reconstruction using optical ultrafast differentiation (PROUD)," Opt. Lett. 32, 3364-3366 (2007).
    [CrossRef]
  17. F. Li, Y. Park, and J. Azaña, "Precise and simple group delay measurement of dispersive devices based on ultrafast optical differentiation," in Proc. of OFC/NFOEC’08, Paper OWD5, 2008.
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    [CrossRef]
  23. Y. Barbarin, S. Anantathanasarn, E. A. J. M. Bente, Y. S. Oei, M. K. Smit, and R. Notzel, "1.55 µm range InAs-InP (100) quantum-dot Fabry-Perot and ring lasers using narrow deeply etched ridge waveguides," IEEE Photon. Technol. Lett. 18, 2644-2646 (2006).
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    [CrossRef]

2008 (2)

2007 (5)

2006 (6)

Y. Barbarin, S. Anantathanasarn, E. A. J. M. Bente, Y. S. Oei, M. K. Smit, and R. Notzel, "1.55 µm range InAs-InP (100) quantum-dot Fabry-Perot and ring lasers using narrow deeply etched ridge waveguides," IEEE Photon. Technol. Lett. 18, 2644-2646 (2006).
[CrossRef]

J. Azaña, C. K. Madsen, K. Takiguchi, and G. Cincontti (editors), Special Issue on "Optical Signal Processing," IEEE/OSA J. Lightwave Technol. 24, 2484-2767 (2006).
[CrossRef]

Y. Park, M. Kulishov, R. Slavík, and J. Azaña, "Picosecond and sub-picosecond flat-top pulse generation using uniform long-period fiber grating," Opt. Express,  14, 12671-12678 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-26-12670.

N. Q. Ngo and L. N. Binh, "Optical realization of Newton-Cotes-Based Integrators for Dark Soliton Generation," IEEE/OSA J. Lightwave Technol. 24, 563-572 (2006).
[CrossRef]

N. Q. Ngo, "Optical integrator for optical dark-soliton detection and pulse shaping," Appl. Opt. 45, 6785-6791 (2006).
[CrossRef]

R. Slavík, Y. Park, M. Kulishov, R. Morandotti, and J. Azaña, "Ultrafast all-optical differentiators, " Opt. Express 14, 10699-10707 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-22-10699.
[CrossRef]

2005 (2)

2004 (1)

M. T. Hill, H. J. S. Dorren, T. De Vries, X. J. M. Leijtens, J. H. Den Besten, B. Smalbrugge, Y.-S. Oel, H. Binsma, G.-D. Khoe, and M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206-209 (2004).
[CrossRef]

2003 (1)

L. Venema, "Photonics Technologies," Nature Insight 424,No. 6950 (2003).

1995 (1)

G. E. Town, K. Sugden, J. A. R. Williams, I. Bennion, and S. B. Poole, "Wide-band Fabry-Perot-like filters in optical fiber," IEEE Photon. Technol. Lett. 7, 78-80 (1995).
[CrossRef]

Anantathanasarn, S.

Y. Barbarin, S. Anantathanasarn, E. A. J. M. Bente, Y. S. Oei, M. K. Smit, and R. Notzel, "1.55 µm range InAs-InP (100) quantum-dot Fabry-Perot and ring lasers using narrow deeply etched ridge waveguides," IEEE Photon. Technol. Lett. 18, 2644-2646 (2006).
[CrossRef]

Azaña, J.

J. Azaña, "Proposal of a uniform fiber Bragg grating as an ultrafast all-optical integrator," Opt. Lett. 33, 4-6 (2008).
[CrossRef]

R. Slavík, L. K. Oxenløwe, M. Galili, H. C. H. Mulvad, Y. Park, J. Azaña, and P. Jeppesen, "Demultiplexing of 320 and 640 Gbit/s OTDM data using ultrashort flat-top pulses," IEEE Photon. Technol. Lett. 19,1855-1857 (2007).
[CrossRef]

F. Li, Y. Park, and J. Azaña, "Complete temporal pulse characterization based on phase reconstruction using optical ultrafast differentiation (PROUD)," Opt. Lett. 32, 3364-3366 (2007).
[CrossRef]

Y. Park, M. Kulishov, R. Slavík, and J. Azaña, "Picosecond and sub-picosecond flat-top pulse generation using uniform long-period fiber grating," Opt. Express,  14, 12671-12678 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-26-12670.

R. Slavík, Y. Park, M. Kulishov, R. Morandotti, and J. Azaña, "Ultrafast all-optical differentiators, " Opt. Express 14, 10699-10707 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-22-10699.
[CrossRef]

J. Azaña, C. K. Madsen, K. Takiguchi, and G. Cincontti (editors), Special Issue on "Optical Signal Processing," IEEE/OSA J. Lightwave Technol. 24, 2484-2767 (2006).
[CrossRef]

M. Kulishov and J. Azaña, "Long-period fiber gratings as ultrafast optical differentiators," Opt. Lett. 30, 2700-2702 (2005).
[CrossRef]

Barbarin, Y.

Y. Barbarin, S. Anantathanasarn, E. A. J. M. Bente, Y. S. Oei, M. K. Smit, and R. Notzel, "1.55 µm range InAs-InP (100) quantum-dot Fabry-Perot and ring lasers using narrow deeply etched ridge waveguides," IEEE Photon. Technol. Lett. 18, 2644-2646 (2006).
[CrossRef]

Bennion, I.

G. E. Town, K. Sugden, J. A. R. Williams, I. Bennion, and S. B. Poole, "Wide-band Fabry-Perot-like filters in optical fiber," IEEE Photon. Technol. Lett. 7, 78-80 (1995).
[CrossRef]

Bente, E. A. J. M.

Y. Barbarin, S. Anantathanasarn, E. A. J. M. Bente, Y. S. Oei, M. K. Smit, and R. Notzel, "1.55 µm range InAs-InP (100) quantum-dot Fabry-Perot and ring lasers using narrow deeply etched ridge waveguides," IEEE Photon. Technol. Lett. 18, 2644-2646 (2006).
[CrossRef]

Binh, L. N.

Binsma, H.

M. T. Hill, H. J. S. Dorren, T. De Vries, X. J. M. Leijtens, J. H. Den Besten, B. Smalbrugge, Y.-S. Oel, H. Binsma, G.-D. Khoe, and M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206-209 (2004).
[CrossRef]

Brochu, G.

Cincontti, G.

J. Azaña, C. K. Madsen, K. Takiguchi, and G. Cincontti (editors), Special Issue on "Optical Signal Processing," IEEE/OSA J. Lightwave Technol. 24, 2484-2767 (2006).
[CrossRef]

De Vries, T.

M. T. Hill, H. J. S. Dorren, T. De Vries, X. J. M. Leijtens, J. H. Den Besten, B. Smalbrugge, Y.-S. Oel, H. Binsma, G.-D. Khoe, and M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206-209 (2004).
[CrossRef]

Den Besten, J. H.

M. T. Hill, H. J. S. Dorren, T. De Vries, X. J. M. Leijtens, J. H. Den Besten, B. Smalbrugge, Y.-S. Oel, H. Binsma, G.-D. Khoe, and M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206-209 (2004).
[CrossRef]

Dong, J.

Dorren, H. J. S.

M. T. Hill, H. J. S. Dorren, T. De Vries, X. J. M. Leijtens, J. H. Den Besten, B. Smalbrugge, Y.-S. Oel, H. Binsma, G.-D. Khoe, and M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206-209 (2004).
[CrossRef]

Galili, M.

R. Slavík, L. K. Oxenløwe, M. Galili, H. C. H. Mulvad, Y. Park, J. Azaña, and P. Jeppesen, "Demultiplexing of 320 and 640 Gbit/s OTDM data using ultrashort flat-top pulses," IEEE Photon. Technol. Lett. 19,1855-1857 (2007).
[CrossRef]

Hill, M. T.

M. T. Hill, H. J. S. Dorren, T. De Vries, X. J. M. Leijtens, J. H. Den Besten, B. Smalbrugge, Y.-S. Oel, H. Binsma, G.-D. Khoe, and M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206-209 (2004).
[CrossRef]

Huang, D.

Jeppesen, P.

R. Slavík, L. K. Oxenløwe, M. Galili, H. C. H. Mulvad, Y. Park, J. Azaña, and P. Jeppesen, "Demultiplexing of 320 and 640 Gbit/s OTDM data using ultrashort flat-top pulses," IEEE Photon. Technol. Lett. 19,1855-1857 (2007).
[CrossRef]

Khoe, G.-D.

M. T. Hill, H. J. S. Dorren, T. De Vries, X. J. M. Leijtens, J. H. Den Besten, B. Smalbrugge, Y.-S. Oel, H. Binsma, G.-D. Khoe, and M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206-209 (2004).
[CrossRef]

Kulishov, M.

LaRochelle, S.

Leijtens, X. J. M.

M. T. Hill, H. J. S. Dorren, T. De Vries, X. J. M. Leijtens, J. H. Den Besten, B. Smalbrugge, Y.-S. Oel, H. Binsma, G.-D. Khoe, and M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206-209 (2004).
[CrossRef]

Li, F.

Liu, D.

Madsen, C. K.

J. Azaña, C. K. Madsen, K. Takiguchi, and G. Cincontti (editors), Special Issue on "Optical Signal Processing," IEEE/OSA J. Lightwave Technol. 24, 2484-2767 (2006).
[CrossRef]

Morandotti, R.

Mulvad, H. C. H.

R. Slavík, L. K. Oxenløwe, M. Galili, H. C. H. Mulvad, Y. Park, J. Azaña, and P. Jeppesen, "Demultiplexing of 320 and 640 Gbit/s OTDM data using ultrashort flat-top pulses," IEEE Photon. Technol. Lett. 19,1855-1857 (2007).
[CrossRef]

Muriel, M. A.

Ngo, N. Q.

Notzel, R.

Y. Barbarin, S. Anantathanasarn, E. A. J. M. Bente, Y. S. Oei, M. K. Smit, and R. Notzel, "1.55 µm range InAs-InP (100) quantum-dot Fabry-Perot and ring lasers using narrow deeply etched ridge waveguides," IEEE Photon. Technol. Lett. 18, 2644-2646 (2006).
[CrossRef]

Oei, Y. S.

Y. Barbarin, S. Anantathanasarn, E. A. J. M. Bente, Y. S. Oei, M. K. Smit, and R. Notzel, "1.55 µm range InAs-InP (100) quantum-dot Fabry-Perot and ring lasers using narrow deeply etched ridge waveguides," IEEE Photon. Technol. Lett. 18, 2644-2646 (2006).
[CrossRef]

Oel, Y.-S.

M. T. Hill, H. J. S. Dorren, T. De Vries, X. J. M. Leijtens, J. H. Den Besten, B. Smalbrugge, Y.-S. Oel, H. Binsma, G.-D. Khoe, and M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206-209 (2004).
[CrossRef]

Oxenløwe, L. K.

R. Slavík, L. K. Oxenløwe, M. Galili, H. C. H. Mulvad, Y. Park, J. Azaña, and P. Jeppesen, "Demultiplexing of 320 and 640 Gbit/s OTDM data using ultrashort flat-top pulses," IEEE Photon. Technol. Lett. 19,1855-1857 (2007).
[CrossRef]

Park, Y.

R. Slavík, L. K. Oxenløwe, M. Galili, H. C. H. Mulvad, Y. Park, J. Azaña, and P. Jeppesen, "Demultiplexing of 320 and 640 Gbit/s OTDM data using ultrashort flat-top pulses," IEEE Photon. Technol. Lett. 19,1855-1857 (2007).
[CrossRef]

F. Li, Y. Park, and J. Azaña, "Complete temporal pulse characterization based on phase reconstruction using optical ultrafast differentiation (PROUD)," Opt. Lett. 32, 3364-3366 (2007).
[CrossRef]

Y. Park, M. Kulishov, R. Slavík, and J. Azaña, "Picosecond and sub-picosecond flat-top pulse generation using uniform long-period fiber grating," Opt. Express,  14, 12671-12678 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-26-12670.

R. Slavík, Y. Park, M. Kulishov, R. Morandotti, and J. Azaña, "Ultrafast all-optical differentiators, " Opt. Express 14, 10699-10707 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-22-10699.
[CrossRef]

Poole, S. B.

G. E. Town, K. Sugden, J. A. R. Williams, I. Bennion, and S. B. Poole, "Wide-band Fabry-Perot-like filters in optical fiber," IEEE Photon. Technol. Lett. 7, 78-80 (1995).
[CrossRef]

Preciado, M. A.

Slavík, R.

R. Slavík, L. K. Oxenløwe, M. Galili, H. C. H. Mulvad, Y. Park, J. Azaña, and P. Jeppesen, "Demultiplexing of 320 and 640 Gbit/s OTDM data using ultrashort flat-top pulses," IEEE Photon. Technol. Lett. 19,1855-1857 (2007).
[CrossRef]

Y. Park, M. Kulishov, R. Slavík, and J. Azaña, "Picosecond and sub-picosecond flat-top pulse generation using uniform long-period fiber grating," Opt. Express,  14, 12671-12678 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-26-12670.

R. Slavík, Y. Park, M. Kulishov, R. Morandotti, and J. Azaña, "Ultrafast all-optical differentiators, " Opt. Express 14, 10699-10707 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-22-10699.
[CrossRef]

G. Brochu, S. LaRochelle, and R. Slavík, "Modeling and experimental demonstration of ultracompact multiwavelength distributed Fabry-Perot fiber lasers," J. Lightwave Technol. 23, 44-53 (2005).
[CrossRef]

Smalbrugge, B.

M. T. Hill, H. J. S. Dorren, T. De Vries, X. J. M. Leijtens, J. H. Den Besten, B. Smalbrugge, Y.-S. Oel, H. Binsma, G.-D. Khoe, and M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206-209 (2004).
[CrossRef]

Smit, M. K.

Y. Barbarin, S. Anantathanasarn, E. A. J. M. Bente, Y. S. Oei, M. K. Smit, and R. Notzel, "1.55 µm range InAs-InP (100) quantum-dot Fabry-Perot and ring lasers using narrow deeply etched ridge waveguides," IEEE Photon. Technol. Lett. 18, 2644-2646 (2006).
[CrossRef]

M. T. Hill, H. J. S. Dorren, T. De Vries, X. J. M. Leijtens, J. H. Den Besten, B. Smalbrugge, Y.-S. Oel, H. Binsma, G.-D. Khoe, and M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206-209 (2004).
[CrossRef]

Sugden, K.

G. E. Town, K. Sugden, J. A. R. Williams, I. Bennion, and S. B. Poole, "Wide-band Fabry-Perot-like filters in optical fiber," IEEE Photon. Technol. Lett. 7, 78-80 (1995).
[CrossRef]

Takiguchi, K.

J. Azaña, C. K. Madsen, K. Takiguchi, and G. Cincontti (editors), Special Issue on "Optical Signal Processing," IEEE/OSA J. Lightwave Technol. 24, 2484-2767 (2006).
[CrossRef]

Town, G. E.

G. E. Town, K. Sugden, J. A. R. Williams, I. Bennion, and S. B. Poole, "Wide-band Fabry-Perot-like filters in optical fiber," IEEE Photon. Technol. Lett. 7, 78-80 (1995).
[CrossRef]

Venema, L.

L. Venema, "Photonics Technologies," Nature Insight 424,No. 6950 (2003).

Wang, Q.

Williams, J. A. R.

G. E. Town, K. Sugden, J. A. R. Williams, I. Bennion, and S. B. Poole, "Wide-band Fabry-Perot-like filters in optical fiber," IEEE Photon. Technol. Lett. 7, 78-80 (1995).
[CrossRef]

Xu, J.

Yao, P.

Zeng, F.

Zhang, X.

Appl. Opt. (1)

IEEE Photon. Technol. Lett. (3)

R. Slavík, L. K. Oxenløwe, M. Galili, H. C. H. Mulvad, Y. Park, J. Azaña, and P. Jeppesen, "Demultiplexing of 320 and 640 Gbit/s OTDM data using ultrashort flat-top pulses," IEEE Photon. Technol. Lett. 19,1855-1857 (2007).
[CrossRef]

Y. Barbarin, S. Anantathanasarn, E. A. J. M. Bente, Y. S. Oei, M. K. Smit, and R. Notzel, "1.55 µm range InAs-InP (100) quantum-dot Fabry-Perot and ring lasers using narrow deeply etched ridge waveguides," IEEE Photon. Technol. Lett. 18, 2644-2646 (2006).
[CrossRef]

G. E. Town, K. Sugden, J. A. R. Williams, I. Bennion, and S. B. Poole, "Wide-band Fabry-Perot-like filters in optical fiber," IEEE Photon. Technol. Lett. 7, 78-80 (1995).
[CrossRef]

J. Lightwave Technol. (4)

Nature (1)

M. T. Hill, H. J. S. Dorren, T. De Vries, X. J. M. Leijtens, J. H. Den Besten, B. Smalbrugge, Y.-S. Oel, H. Binsma, G.-D. Khoe, and M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206-209 (2004).
[CrossRef]

Nature Insight (1)

L. Venema, "Photonics Technologies," Nature Insight 424,No. 6950 (2003).

Opt. Express (2)

R. Slavík, Y. Park, M. Kulishov, R. Morandotti, and J. Azaña, "Ultrafast all-optical differentiators, " Opt. Express 14, 10699-10707 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-22-10699.
[CrossRef]

Y. Park, M. Kulishov, R. Slavík, and J. Azaña, "Picosecond and sub-picosecond flat-top pulse generation using uniform long-period fiber grating," Opt. Express,  14, 12671-12678 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-26-12670.

Opt. Lett. (6)

Other (7)

F. Li, Y. Park, and J. Azaña, "Precise and simple group delay measurement of dispersive devices based on ultrafast optical differentiation," in Proc. of OFC/NFOEC’08, Paper OWD5, 2008.

A. V. Oppenheim, A. S. Willsky, and S. H. Nawab, Signals and Systems, 2nd ed. (Prentice Hall, Upper Saddle River, NJ, USA 1996).

K. Ogata, Modern Control Engineering, 4th ed. (Prentice Hall, Upper Saddle River, NJ, USA 2001).

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