Abstract

We present experimental results on a new method for ultrafast all-optical logic, which utilizes four-wave mixing on polarization-modulated signals. The technique allows advanced operations such as exclusive-or and three-bit addition with carry bit. Furthermore, we show that on-the-fly error-correction encoding and decoding of a simple Hamming code is achieved when these gates are used on the bits of a spectrally structured word. These gates may be suitable for logic operations in an optoelectronic front end, which moves some of the necessary computation of data to the optical domain, before detection.

© 2001 Optical Society of America

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  1. M. L. Loeb, G. R. Stilwell, “High-speed data transmission on an optical fiber using a byte-wide WDM system,” J. Lightwave Technol. 6, 1306–1311 (1988).
    [CrossRef]
  2. R. Nuyts, Y. Park, P. Gallion, “Dispersion equalization of a 10Gb/s repeatered transmission system using dispersion compensating fibers,” J. Lightwave Technol. 15, 31–42 (1997).
    [CrossRef]
  3. K. Hill, F. Bilodeau, B. Malo, T. Kitagawa, S. Theriault, D. Johnson, J. Albert, “Chirped in-fiber Bragg gratings for compensation of optical fiber dispersion,” Opt. Lett. 19, 1314–1316 (1994).
    [CrossRef] [PubMed]
  4. A. Yariv, D. Fekete, D. Pepper, “Compensation for channel dispersion by nonlinear optical phase conjugation,” Opt. Lett. 4, 52–54 (1979).
    [CrossRef] [PubMed]
  5. L. A. Bergman, A. J. Mendez, L. S. Lome, “Bit-parallel links for high-performance computer networks,” in Optoelectronic Interconnects and Packaging, R. T. Chen, P. S. Guilfoyle, eds., Proc. SPIECR62, 210–226 (1996).
  6. L. Bergman, J. Morookian, C. Yeh, “An all-optical long-distance multi-Gbyte/s bit-parallel WDM single-fiber link,” J. Lightwave Technol. 16, 1577–1582 (1998).
    [CrossRef]
  7. C. C. Chen, L. A. Wang, S.-Y. Kuo, “A wavelength encoded multichannel optical bus for local area networks,” J. Lightwave Technol. 14, 315–323 (1996).
    [CrossRef]
  8. K. Vahala, R. Paiella, Guido Hunziker, “Ultrafast WDM logic,” IEEE J. Sel. Top. Quantum Electron. 3, 698–701 (1997).
    [CrossRef]
  9. D. Nesset, M. C. Tatham, L. D. Westbrook, D. Cotter, “Degenerate wavelength operation of an ultrafast all-optical and gate using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 30, 1938–1940 (1994).
    [CrossRef]
  10. T. Morioka, H. Takara, S. Kawanishi, K. Uchiyama, M. Saruwatari, “Polarization-independent all-optical demultiplexing up to 200 Gbit/s using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 32, 840–842 (1996).
    [CrossRef]
  11. A. D’Ottavi, E. Iannone, S. Scotti, “Address recognition in all-optical packet switching by fwm in semiconductor amplifier,” Microwave Opt. Technol. Lett. 10, 228–230 (1995).
    [CrossRef]
  12. S. Benedetto, R. Gaudino, P. Poggiolini, “Direct detection of optical digital transmission based on polarization shift keying modulation,” IEEE J. Sel. Areas Commun. 13, 531–542 (1995).
    [CrossRef]
  13. B. Ya. Zel-dovich, N. F. Pilipetsky, V. V. Shkunov, Principles of Phase Conjugation (Springer-Verlag, Berlin, 1985), pp. 150–152.
  14. D. Nesset, D. D. Marcenac, P. L. Mason, A. E. Kelly, S. Bouchoule, E. Lach, “Simultaneous wavelength conversion of two 40 Gbit/s channels using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 34, 107–108 (1998).
    [CrossRef]

1998 (2)

D. Nesset, D. D. Marcenac, P. L. Mason, A. E. Kelly, S. Bouchoule, E. Lach, “Simultaneous wavelength conversion of two 40 Gbit/s channels using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 34, 107–108 (1998).
[CrossRef]

L. Bergman, J. Morookian, C. Yeh, “An all-optical long-distance multi-Gbyte/s bit-parallel WDM single-fiber link,” J. Lightwave Technol. 16, 1577–1582 (1998).
[CrossRef]

1997 (2)

R. Nuyts, Y. Park, P. Gallion, “Dispersion equalization of a 10Gb/s repeatered transmission system using dispersion compensating fibers,” J. Lightwave Technol. 15, 31–42 (1997).
[CrossRef]

K. Vahala, R. Paiella, Guido Hunziker, “Ultrafast WDM logic,” IEEE J. Sel. Top. Quantum Electron. 3, 698–701 (1997).
[CrossRef]

1996 (2)

C. C. Chen, L. A. Wang, S.-Y. Kuo, “A wavelength encoded multichannel optical bus for local area networks,” J. Lightwave Technol. 14, 315–323 (1996).
[CrossRef]

T. Morioka, H. Takara, S. Kawanishi, K. Uchiyama, M. Saruwatari, “Polarization-independent all-optical demultiplexing up to 200 Gbit/s using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 32, 840–842 (1996).
[CrossRef]

1995 (2)

A. D’Ottavi, E. Iannone, S. Scotti, “Address recognition in all-optical packet switching by fwm in semiconductor amplifier,” Microwave Opt. Technol. Lett. 10, 228–230 (1995).
[CrossRef]

S. Benedetto, R. Gaudino, P. Poggiolini, “Direct detection of optical digital transmission based on polarization shift keying modulation,” IEEE J. Sel. Areas Commun. 13, 531–542 (1995).
[CrossRef]

1994 (2)

D. Nesset, M. C. Tatham, L. D. Westbrook, D. Cotter, “Degenerate wavelength operation of an ultrafast all-optical and gate using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 30, 1938–1940 (1994).
[CrossRef]

K. Hill, F. Bilodeau, B. Malo, T. Kitagawa, S. Theriault, D. Johnson, J. Albert, “Chirped in-fiber Bragg gratings for compensation of optical fiber dispersion,” Opt. Lett. 19, 1314–1316 (1994).
[CrossRef] [PubMed]

1988 (1)

M. L. Loeb, G. R. Stilwell, “High-speed data transmission on an optical fiber using a byte-wide WDM system,” J. Lightwave Technol. 6, 1306–1311 (1988).
[CrossRef]

1979 (1)

Albert, J.

Benedetto, S.

S. Benedetto, R. Gaudino, P. Poggiolini, “Direct detection of optical digital transmission based on polarization shift keying modulation,” IEEE J. Sel. Areas Commun. 13, 531–542 (1995).
[CrossRef]

Bergman, L.

Bergman, L. A.

L. A. Bergman, A. J. Mendez, L. S. Lome, “Bit-parallel links for high-performance computer networks,” in Optoelectronic Interconnects and Packaging, R. T. Chen, P. S. Guilfoyle, eds., Proc. SPIECR62, 210–226 (1996).

Bilodeau, F.

Bouchoule, S.

D. Nesset, D. D. Marcenac, P. L. Mason, A. E. Kelly, S. Bouchoule, E. Lach, “Simultaneous wavelength conversion of two 40 Gbit/s channels using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 34, 107–108 (1998).
[CrossRef]

Chen, C. C.

C. C. Chen, L. A. Wang, S.-Y. Kuo, “A wavelength encoded multichannel optical bus for local area networks,” J. Lightwave Technol. 14, 315–323 (1996).
[CrossRef]

Cotter, D.

D. Nesset, M. C. Tatham, L. D. Westbrook, D. Cotter, “Degenerate wavelength operation of an ultrafast all-optical and gate using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 30, 1938–1940 (1994).
[CrossRef]

D’Ottavi, A.

A. D’Ottavi, E. Iannone, S. Scotti, “Address recognition in all-optical packet switching by fwm in semiconductor amplifier,” Microwave Opt. Technol. Lett. 10, 228–230 (1995).
[CrossRef]

Fekete, D.

Gallion, P.

R. Nuyts, Y. Park, P. Gallion, “Dispersion equalization of a 10Gb/s repeatered transmission system using dispersion compensating fibers,” J. Lightwave Technol. 15, 31–42 (1997).
[CrossRef]

Gaudino, R.

S. Benedetto, R. Gaudino, P. Poggiolini, “Direct detection of optical digital transmission based on polarization shift keying modulation,” IEEE J. Sel. Areas Commun. 13, 531–542 (1995).
[CrossRef]

Hill, K.

Hunziker, Guido

K. Vahala, R. Paiella, Guido Hunziker, “Ultrafast WDM logic,” IEEE J. Sel. Top. Quantum Electron. 3, 698–701 (1997).
[CrossRef]

Iannone, E.

A. D’Ottavi, E. Iannone, S. Scotti, “Address recognition in all-optical packet switching by fwm in semiconductor amplifier,” Microwave Opt. Technol. Lett. 10, 228–230 (1995).
[CrossRef]

Johnson, D.

Kawanishi, S.

T. Morioka, H. Takara, S. Kawanishi, K. Uchiyama, M. Saruwatari, “Polarization-independent all-optical demultiplexing up to 200 Gbit/s using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 32, 840–842 (1996).
[CrossRef]

Kelly, A. E.

D. Nesset, D. D. Marcenac, P. L. Mason, A. E. Kelly, S. Bouchoule, E. Lach, “Simultaneous wavelength conversion of two 40 Gbit/s channels using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 34, 107–108 (1998).
[CrossRef]

Kitagawa, T.

Kuo, S.-Y.

C. C. Chen, L. A. Wang, S.-Y. Kuo, “A wavelength encoded multichannel optical bus for local area networks,” J. Lightwave Technol. 14, 315–323 (1996).
[CrossRef]

Lach, E.

D. Nesset, D. D. Marcenac, P. L. Mason, A. E. Kelly, S. Bouchoule, E. Lach, “Simultaneous wavelength conversion of two 40 Gbit/s channels using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 34, 107–108 (1998).
[CrossRef]

Loeb, M. L.

M. L. Loeb, G. R. Stilwell, “High-speed data transmission on an optical fiber using a byte-wide WDM system,” J. Lightwave Technol. 6, 1306–1311 (1988).
[CrossRef]

Lome, L. S.

L. A. Bergman, A. J. Mendez, L. S. Lome, “Bit-parallel links for high-performance computer networks,” in Optoelectronic Interconnects and Packaging, R. T. Chen, P. S. Guilfoyle, eds., Proc. SPIECR62, 210–226 (1996).

Malo, B.

Marcenac, D. D.

D. Nesset, D. D. Marcenac, P. L. Mason, A. E. Kelly, S. Bouchoule, E. Lach, “Simultaneous wavelength conversion of two 40 Gbit/s channels using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 34, 107–108 (1998).
[CrossRef]

Mason, P. L.

D. Nesset, D. D. Marcenac, P. L. Mason, A. E. Kelly, S. Bouchoule, E. Lach, “Simultaneous wavelength conversion of two 40 Gbit/s channels using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 34, 107–108 (1998).
[CrossRef]

Mendez, A. J.

L. A. Bergman, A. J. Mendez, L. S. Lome, “Bit-parallel links for high-performance computer networks,” in Optoelectronic Interconnects and Packaging, R. T. Chen, P. S. Guilfoyle, eds., Proc. SPIECR62, 210–226 (1996).

Morioka, T.

T. Morioka, H. Takara, S. Kawanishi, K. Uchiyama, M. Saruwatari, “Polarization-independent all-optical demultiplexing up to 200 Gbit/s using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 32, 840–842 (1996).
[CrossRef]

Morookian, J.

Nesset, D.

D. Nesset, D. D. Marcenac, P. L. Mason, A. E. Kelly, S. Bouchoule, E. Lach, “Simultaneous wavelength conversion of two 40 Gbit/s channels using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 34, 107–108 (1998).
[CrossRef]

D. Nesset, M. C. Tatham, L. D. Westbrook, D. Cotter, “Degenerate wavelength operation of an ultrafast all-optical and gate using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 30, 1938–1940 (1994).
[CrossRef]

Nuyts, R.

R. Nuyts, Y. Park, P. Gallion, “Dispersion equalization of a 10Gb/s repeatered transmission system using dispersion compensating fibers,” J. Lightwave Technol. 15, 31–42 (1997).
[CrossRef]

Paiella, R.

K. Vahala, R. Paiella, Guido Hunziker, “Ultrafast WDM logic,” IEEE J. Sel. Top. Quantum Electron. 3, 698–701 (1997).
[CrossRef]

Park, Y.

R. Nuyts, Y. Park, P. Gallion, “Dispersion equalization of a 10Gb/s repeatered transmission system using dispersion compensating fibers,” J. Lightwave Technol. 15, 31–42 (1997).
[CrossRef]

Pepper, D.

Pilipetsky, N. F.

B. Ya. Zel-dovich, N. F. Pilipetsky, V. V. Shkunov, Principles of Phase Conjugation (Springer-Verlag, Berlin, 1985), pp. 150–152.

Poggiolini, P.

S. Benedetto, R. Gaudino, P. Poggiolini, “Direct detection of optical digital transmission based on polarization shift keying modulation,” IEEE J. Sel. Areas Commun. 13, 531–542 (1995).
[CrossRef]

Saruwatari, M.

T. Morioka, H. Takara, S. Kawanishi, K. Uchiyama, M. Saruwatari, “Polarization-independent all-optical demultiplexing up to 200 Gbit/s using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 32, 840–842 (1996).
[CrossRef]

Scotti, S.

A. D’Ottavi, E. Iannone, S. Scotti, “Address recognition in all-optical packet switching by fwm in semiconductor amplifier,” Microwave Opt. Technol. Lett. 10, 228–230 (1995).
[CrossRef]

Shkunov, V. V.

B. Ya. Zel-dovich, N. F. Pilipetsky, V. V. Shkunov, Principles of Phase Conjugation (Springer-Verlag, Berlin, 1985), pp. 150–152.

Stilwell, G. R.

M. L. Loeb, G. R. Stilwell, “High-speed data transmission on an optical fiber using a byte-wide WDM system,” J. Lightwave Technol. 6, 1306–1311 (1988).
[CrossRef]

Takara, H.

T. Morioka, H. Takara, S. Kawanishi, K. Uchiyama, M. Saruwatari, “Polarization-independent all-optical demultiplexing up to 200 Gbit/s using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 32, 840–842 (1996).
[CrossRef]

Tatham, M. C.

D. Nesset, M. C. Tatham, L. D. Westbrook, D. Cotter, “Degenerate wavelength operation of an ultrafast all-optical and gate using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 30, 1938–1940 (1994).
[CrossRef]

Theriault, S.

Uchiyama, K.

T. Morioka, H. Takara, S. Kawanishi, K. Uchiyama, M. Saruwatari, “Polarization-independent all-optical demultiplexing up to 200 Gbit/s using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 32, 840–842 (1996).
[CrossRef]

Vahala, K.

K. Vahala, R. Paiella, Guido Hunziker, “Ultrafast WDM logic,” IEEE J. Sel. Top. Quantum Electron. 3, 698–701 (1997).
[CrossRef]

Wang, L. A.

C. C. Chen, L. A. Wang, S.-Y. Kuo, “A wavelength encoded multichannel optical bus for local area networks,” J. Lightwave Technol. 14, 315–323 (1996).
[CrossRef]

Westbrook, L. D.

D. Nesset, M. C. Tatham, L. D. Westbrook, D. Cotter, “Degenerate wavelength operation of an ultrafast all-optical and gate using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 30, 1938–1940 (1994).
[CrossRef]

Yariv, A.

Yeh, C.

Zel-dovich, B. Ya.

B. Ya. Zel-dovich, N. F. Pilipetsky, V. V. Shkunov, Principles of Phase Conjugation (Springer-Verlag, Berlin, 1985), pp. 150–152.

Electron. Lett. (3)

D. Nesset, M. C. Tatham, L. D. Westbrook, D. Cotter, “Degenerate wavelength operation of an ultrafast all-optical and gate using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 30, 1938–1940 (1994).
[CrossRef]

T. Morioka, H. Takara, S. Kawanishi, K. Uchiyama, M. Saruwatari, “Polarization-independent all-optical demultiplexing up to 200 Gbit/s using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 32, 840–842 (1996).
[CrossRef]

D. Nesset, D. D. Marcenac, P. L. Mason, A. E. Kelly, S. Bouchoule, E. Lach, “Simultaneous wavelength conversion of two 40 Gbit/s channels using four-wave mixing in a semiconductor optical amplifier,” Electron. Lett. 34, 107–108 (1998).
[CrossRef]

IEEE J. Sel. Areas Commun. (1)

S. Benedetto, R. Gaudino, P. Poggiolini, “Direct detection of optical digital transmission based on polarization shift keying modulation,” IEEE J. Sel. Areas Commun. 13, 531–542 (1995).
[CrossRef]

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

K. Vahala, R. Paiella, Guido Hunziker, “Ultrafast WDM logic,” IEEE J. Sel. Top. Quantum Electron. 3, 698–701 (1997).
[CrossRef]

J. Lightwave Technol. (4)

C. C. Chen, L. A. Wang, S.-Y. Kuo, “A wavelength encoded multichannel optical bus for local area networks,” J. Lightwave Technol. 14, 315–323 (1996).
[CrossRef]

M. L. Loeb, G. R. Stilwell, “High-speed data transmission on an optical fiber using a byte-wide WDM system,” J. Lightwave Technol. 6, 1306–1311 (1988).
[CrossRef]

R. Nuyts, Y. Park, P. Gallion, “Dispersion equalization of a 10Gb/s repeatered transmission system using dispersion compensating fibers,” J. Lightwave Technol. 15, 31–42 (1997).
[CrossRef]

L. Bergman, J. Morookian, C. Yeh, “An all-optical long-distance multi-Gbyte/s bit-parallel WDM single-fiber link,” J. Lightwave Technol. 16, 1577–1582 (1998).
[CrossRef]

Microwave Opt. Technol. Lett. (1)

A. D’Ottavi, E. Iannone, S. Scotti, “Address recognition in all-optical packet switching by fwm in semiconductor amplifier,” Microwave Opt. Technol. Lett. 10, 228–230 (1995).
[CrossRef]

Opt. Lett. (2)

Other (2)

B. Ya. Zel-dovich, N. F. Pilipetsky, V. V. Shkunov, Principles of Phase Conjugation (Springer-Verlag, Berlin, 1985), pp. 150–152.

L. A. Bergman, A. J. Mendez, L. S. Lome, “Bit-parallel links for high-performance computer networks,” in Optoelectronic Interconnects and Packaging, R. T. Chen, P. S. Guilfoyle, eds., Proc. SPIECR62, 210–226 (1996).

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Figures (6)

Fig. 1
Fig. 1

Schematic diagram of the spectral characteristics of FWM. The three inputs, S, P1, and P2 corresponds to the signal, pump 1, and pump 2, respectively. The output C corresponds to the conjugate. (a) When all inputs are parallel, the efficiency is highest, and output is parallel to input. (b) When S is orthogonal to P1 and P2, there is no mixing. (c) When P1 is orthogonal to P2, then C will be orthogonal to S.

Fig. 2
Fig. 2

Design of an all-optical three-bit adder by use of FWM between PolSK-modulated signals in three parallel SOA’s.

Fig. 3
Fig. 3

Logic circuit for three-bit error correction, using the fundamental and and or gates.

Fig. 4
Fig. 4

Experimental setup for testing the Hamming (3,1) EC device.

Fig. 5
Fig. 5

Input and output sequences of the EC device when there are (a) no errors, (b) errors in D1, and (c) errors in D2.

Fig. 6
Fig. 6

Spectra at the output of upper SOA (solid curve) and lower SOA (dotted curve) when [1,1,1] is launched into the EC gate. The area close to the output signal (OUT) is expanded for clarity.

Tables (2)

Tables Icon

Table 1 Polarization Mixing Table for First-Order Four-Wave Mixing

Tables Icon

Table 2 Truth Table for Decoding the Hamming (3,1) Code

Equations (2)

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

Eceˆc=ηEp1Ep2Es*μp1seˆp1·eˆs*eˆp2+μp2seˆp2·eˆs*eˆp1+μp1p2eˆp1·eˆp2eˆs*,
OUT=D1D2D1D3(D2D3),

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