Abstract

We present an approach to implementing three-input addition and subtraction of quaternary base numbers in the optical domain using multiple non-degenerate four-wave mixing (FWM) processes in a single highly nonlinear fiber (HNLF) and differential quadrature phase-shift keying (DQPSK) signals. By employing 100-Gbit/s three-input return-to-zero DQPSK (RZ-DQPSK) signals (A, B, C), we demonstrate 50-Gbaud/s three-input quaternary hybrid addition and subtraction (A + B-C, A + C-B, B + C-A). Moreover, by adding a conversion stage from C to –C via conjugated degenerate FWM, we also demonstrate 50-Gbaud/s three-input quaternary addition (A + B + C). The power penalties of three-input quaternary addition and subtraction (A + B-C, A + C-B, B + C-A, A + B + C) are measured to be less than 6 dB at a bit-error rate (BER) of 10−9. In addition, no significant degradations are observed for RZ-DQPSK signals (A, B, C or –C) after the operations of quaternary addition and subtraction.

© 2013 OSA

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2012

2011

J. Wang, H. Huang, X. Wang, J.-Y. Yang, and A. E. Willner, “Multi-channel 100-Gbit/s DQPSK data exchange using bidirectional degenerate four-wave mixing,” Opt. Express19(4), 3332–3338 (2011).
[CrossRef] [PubMed]

T. D. Vo, R. Pant, M. D. Pelusi, J. Schröder, D.-Y. Choi, S. K. Debbarma, S. J. Madden, B. Luther-Davies, and B. J. Eggleton, “Photonic chip-based all-optical XOR gate for 40 and 160 Gbit/s DPSK signals,” Opt. Lett.36(5), 710–712 (2011).
[CrossRef] [PubMed]

J. Wang, H. Huang, X. Wang, J.-Y. Yang, and A. E. Willner, “Reconfigurable 2.3-Tbit/s DQPSK simultaneous add/drop, data exchange and equalization using double-pass LCoS and bidirectional HNLF,” Opt. Express19(19), 18246–18252 (2011).
[CrossRef] [PubMed]

F. Li, T. D. Vo, C. Husko, M. Pelusi, D.-X. Xu, A. Densmore, R. Ma, S. Janz, B. J. Eggleton, and D. J. Moss, “All-optical XOR logic gate for 40Gb/s DPSK signals via FWM in a silicon nanowire,” Opt. Express19(21), 20364–20371 (2011).
[CrossRef] [PubMed]

C. Husko, T. D. Vo, B. Corcoran, J. Li, T. F. Krauss, and B. J. Eggleton, “Ultracompact all-optical XOR logic gate in a slow-light silicon photonic crystal waveguide,” Opt. Express19(21), 20681–20690 (2011).
[CrossRef] [PubMed]

Y. Q. Xie, Y. Gao, S. M. Gao, X. D. Mou, and S. L. He, “All-optical multiple-channel logic XOR gate for NRZ-DPSK signals based on nondegenerate four-wave mixing in a silicon waveguide,” Opt. Lett.36(21), 4260–4262 (2011).
[CrossRef] [PubMed]

P. Guan, T. Hirano, K. Harako, Y. Tomiyama, T. Hirooka, and M. Nakazawa, “2.56 Tbit/s/ch polarization-multiplexed DQPSK transmission over 300 km using time-domain optical Fourier transformation,” Opt. Express19(26), B567–B573 (2011).
[CrossRef] [PubMed]

2010

J. Wang, S. R. Nuccio, H. Huang, X. Wang, J.-Y. Yang, and A. E. Willner, “Optical data exchange of 100-Gbit/s DQPSK signals,” Opt. Express18(23), 23740–23745 (2010).
[CrossRef] [PubMed]

A. Bogoni, X. Wu, Z. Bakhtiari, S. Nuccio, and A. E. Willner, “640 Gbits/s photonic logic gates,” Opt. Lett.35(23), 3955–3957 (2010).
[CrossRef] [PubMed]

J. F. Qiu, K. Sun, M. Rochette, and L. R. Chen, “Reconfigurable all-optical multilogic gate (XOR, AND, and OR) based on cross-phase modulation in a highly nonlinear fiber,” IEEE Photon. Technol. Lett.22(16), 1199–1201 (2010).
[CrossRef]

C. Porzi, M. Scaffardi, L. Potì, and A. Bogoni, “Optical digital signal processing in a single SOA without assist probe light,” IEEE J. Sel. Top. Quantum Electron.16(5), 1469–1475 (2010).
[CrossRef]

2009

2008

2007

J. Wang, J. Q. Sun, and Q. Z. Sun, “Single-PPLN-based simultaneous half-adder, half-subtracter, and OR logic gate: proposal and simulation,” Opt. Express15(4), 1690–1699 (2007).
[CrossRef] [PubMed]

J. Wang, J. Sun, Q. Sun, D. Wang, M. Zhou, X. Zhang, D. Huang, and M. M. Fejer, “Dual-channel-output all-optical logic AND gate at 20 Gbit/s based on cascaded second-order nonlinearity in PPLN waveguide,” Electron. Lett.43(17), 940–941 (2007).
[CrossRef]

2006

N. Deng, K. Chan, C. K. Chan, and L. K. Chen, “An all-optical XOR logic gate for high-speed RZ-DPSK signals by FWMin semiconductor optical amplifier,” IEEE J. Sel. Top. Quantum Electron.12(4), 702–707 (2006).
[CrossRef]

S. Kumar, A. E. Willner, D. Gurkan, K. R. Parameswaran, and M. M. Fejer, “All-optical half adder using an SOA and a PPLN waveguide for signal processing in optical networks,” Opt. Express14(22), 10255–10260 (2006).
[CrossRef] [PubMed]

2005

C. Yu, L. Christen, T. Luo, Y. Wang, Z. Pan, L. S. Yan, and A. E. Willner, “All-optical XOR gate using polarization rotation in single highly nonlinear fiber,” IEEE Photon. Technol. Lett.17(6), 1232–1234 (2005).
[CrossRef]

2004

I. Kang, C. Dorrer, and J. Leuthold, “All-optical XOR operation of 40 Gbit/s phase-shift-keyed data using four-wave mixing in semiconductor optical amplifier,” Electron. Lett.40(8), 496–498 (2004).
[CrossRef]

2002

J. H. Kim, Y. M. Jhon, Y. T. Byun, S. Lee, D. H. Woo, and S. H. Kim, “All-optical XOR gate using semiconductor optical amplifiers without additional input beam,” IEEE Photon. Technol. Lett.14(10), 1436–1438 (2002).
[CrossRef]

1999

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, “Nonlinear optics for high-speed digital information processing,” Science286(5444), 1523–1528 (1999).
[CrossRef] [PubMed]

Adamiecki, A.

Bakhtiari, Z.

Basch, B.

Blow, K. J.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, “Nonlinear optics for high-speed digital information processing,” Science286(5444), 1523–1528 (1999).
[CrossRef] [PubMed]

Bogoni, A.

J. Wang, S. R. Nuccio, J.-Y. Yang, X. X. Wu, A. Bogoni, and A. E. Willner, “High-speed addition/subtraction/complement/doubling of quaternary numbers using optical nonlinearities and DQPSK signals,” Opt. Lett.37(7), 1139–1141 (2012).
[CrossRef] [PubMed]

A. Malacarne, E. Lazzeri, V. Vercesi, M. Scaffardi, and A. Bogoni, “Colorless all-optical sum and subtraction of phases for phase-shift keying signals based on a periodically poled lithium niobate waveguide,” Opt. Lett.37(18), 3831–3833 (2012).
[PubMed]

C. Porzi, A. Bogoni, and G. Contestabile, “Regeneration of DPSK signals in a saturated SOA,” IEEE Photon. Technol. Lett.24(18), 1597–1599 (2012).
[CrossRef]

E. Lazzeri, A. Malacarne, G. Serafino, and A. Bogoni, “Optical XOR for error detection and coding of QPSK I and Q components in PPLN waveguide,” IEEE Photon. Technol. Lett.24(24), 2258–2261 (2012), doi:.
[CrossRef]

A. Bogoni, X. Wu, Z. Bakhtiari, S. Nuccio, and A. E. Willner, “640 Gbits/s photonic logic gates,” Opt. Lett.35(23), 3955–3957 (2010).
[CrossRef] [PubMed]

C. Porzi, M. Scaffardi, L. Potì, and A. Bogoni, “Optical digital signal processing in a single SOA without assist probe light,” IEEE J. Sel. Top. Quantum Electron.16(5), 1469–1475 (2010).
[CrossRef]

Buhl, L. L.

Byun, Y. T.

J. H. Kim, Y. M. Jhon, Y. T. Byun, S. Lee, D. H. Woo, and S. H. Kim, “All-optical XOR gate using semiconductor optical amplifiers without additional input beam,” IEEE Photon. Technol. Lett.14(10), 1436–1438 (2002).
[CrossRef]

Chan, C. K.

N. Deng, K. Chan, C. K. Chan, and L. K. Chen, “An all-optical XOR logic gate for high-speed RZ-DPSK signals by FWMin semiconductor optical amplifier,” IEEE J. Sel. Top. Quantum Electron.12(4), 702–707 (2006).
[CrossRef]

Chan, K.

N. Deng, K. Chan, C. K. Chan, and L. K. Chen, “An all-optical XOR logic gate for high-speed RZ-DPSK signals by FWMin semiconductor optical amplifier,” IEEE J. Sel. Top. Quantum Electron.12(4), 702–707 (2006).
[CrossRef]

Chandrasekhar, S.

Chen, L. K.

N. Deng, K. Chan, C. K. Chan, and L. K. Chen, “An all-optical XOR logic gate for high-speed RZ-DPSK signals by FWMin semiconductor optical amplifier,” IEEE J. Sel. Top. Quantum Electron.12(4), 702–707 (2006).
[CrossRef]

Chen, L. R.

J. F. Qiu, K. Sun, M. Rochette, and L. R. Chen, “Reconfigurable all-optical multilogic gate (XOR, AND, and OR) based on cross-phase modulation in a highly nonlinear fiber,” IEEE Photon. Technol. Lett.22(16), 1199–1201 (2010).
[CrossRef]

Choi, D.-Y.

Christen, L.

C. Yu, L. Christen, T. Luo, Y. Wang, Z. Pan, L. S. Yan, and A. E. Willner, “All-optical XOR gate using polarization rotation in single highly nonlinear fiber,” IEEE Photon. Technol. Lett.17(6), 1232–1234 (2005).
[CrossRef]

Contestabile, G.

C. Porzi, A. Bogoni, and G. Contestabile, “Regeneration of DPSK signals in a saturated SOA,” IEEE Photon. Technol. Lett.24(18), 1597–1599 (2012).
[CrossRef]

Corcoran, B.

Corteselli, S.

Cotter, D.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, “Nonlinear optics for high-speed digital information processing,” Science286(5444), 1523–1528 (1999).
[CrossRef] [PubMed]

Debbarma, S. K.

Deng, N.

N. Deng, K. Chan, C. K. Chan, and L. K. Chen, “An all-optical XOR logic gate for high-speed RZ-DPSK signals by FWMin semiconductor optical amplifier,” IEEE J. Sel. Top. Quantum Electron.12(4), 702–707 (2006).
[CrossRef]

Densmore, A.

Doerr, C. R.

Dorrer, C.

I. Kang, C. Dorrer, and J. Leuthold, “All-optical XOR operation of 40 Gbit/s phase-shift-keyed data using four-wave mixing in semiconductor optical amplifier,” Electron. Lett.40(8), 496–498 (2004).
[CrossRef]

Eggleton, B. J.

Ellis, A. D.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, “Nonlinear optics for high-speed digital information processing,” Science286(5444), 1523–1528 (1999).
[CrossRef] [PubMed]

Fejer, M. M.

Fishman, D. A.

Gao, S. M.

Gao, Y.

Gil, S.

Y. J. Jung, C. W. Son, S. Lee, S. Gil, H. S. Kim, and N. Park, “Demonstration of 10 Gbps, all-optical encryption and decryption system utilizing SOA XOR logic gates,” Opt. Quantum Electron.40(5-6), 425–430 (2008).
[CrossRef]

Gnauck, A. H.

Guan, P.

Gurkan, D.

Harako, K.

He, S. L.

Higuma, K.

Hirano, T.

Hirooka, T.

Huang, D.

J. Wang, J. Sun, Q. Sun, D. Wang, M. Zhou, X. Zhang, D. Huang, and M. M. Fejer, “Dual-channel-output all-optical logic AND gate at 20 Gbit/s based on cascaded second-order nonlinearity in PPLN waveguide,” Electron. Lett.43(17), 940–941 (2007).
[CrossRef]

Huang, D. X.

Huang, H.

Husko, C.

Janz, S.

Jhon, Y. M.

J. H. Kim, Y. M. Jhon, Y. T. Byun, S. Lee, D. H. Woo, and S. H. Kim, “All-optical XOR gate using semiconductor optical amplifiers without additional input beam,” IEEE Photon. Technol. Lett.14(10), 1436–1438 (2002).
[CrossRef]

Jung, Y. J.

Y. J. Jung, C. W. Son, S. Lee, S. Gil, H. S. Kim, and N. Park, “Demonstration of 10 Gbps, all-optical encryption and decryption system utilizing SOA XOR logic gates,” Opt. Quantum Electron.40(5-6), 425–430 (2008).
[CrossRef]

Kang, I.

I. Kang, C. Dorrer, and J. Leuthold, “All-optical XOR operation of 40 Gbit/s phase-shift-keyed data using four-wave mixing in semiconductor optical amplifier,” Electron. Lett.40(8), 496–498 (2004).
[CrossRef]

Kawanishi, T.

Kelly, A. E.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, “Nonlinear optics for high-speed digital information processing,” Science286(5444), 1523–1528 (1999).
[CrossRef] [PubMed]

Kim, H. S.

Y. J. Jung, C. W. Son, S. Lee, S. Gil, H. S. Kim, and N. Park, “Demonstration of 10 Gbps, all-optical encryption and decryption system utilizing SOA XOR logic gates,” Opt. Quantum Electron.40(5-6), 425–430 (2008).
[CrossRef]

Kim, J. H.

J. H. Kim, Y. M. Jhon, Y. T. Byun, S. Lee, D. H. Woo, and S. H. Kim, “All-optical XOR gate using semiconductor optical amplifiers without additional input beam,” IEEE Photon. Technol. Lett.14(10), 1436–1438 (2002).
[CrossRef]

Kim, S. H.

J. H. Kim, Y. M. Jhon, Y. T. Byun, S. Lee, D. H. Woo, and S. H. Kim, “All-optical XOR gate using semiconductor optical amplifiers without additional input beam,” IEEE Photon. Technol. Lett.14(10), 1436–1438 (2002).
[CrossRef]

Krauss, T. F.

Kumar, S.

Lazzeri, E.

A. Malacarne, E. Lazzeri, V. Vercesi, M. Scaffardi, and A. Bogoni, “Colorless all-optical sum and subtraction of phases for phase-shift keying signals based on a periodically poled lithium niobate waveguide,” Opt. Lett.37(18), 3831–3833 (2012).
[PubMed]

E. Lazzeri, A. Malacarne, G. Serafino, and A. Bogoni, “Optical XOR for error detection and coding of QPSK I and Q components in PPLN waveguide,” IEEE Photon. Technol. Lett.24(24), 2258–2261 (2012), doi:.
[CrossRef]

Lee, S.

Y. J. Jung, C. W. Son, S. Lee, S. Gil, H. S. Kim, and N. Park, “Demonstration of 10 Gbps, all-optical encryption and decryption system utilizing SOA XOR logic gates,” Opt. Quantum Electron.40(5-6), 425–430 (2008).
[CrossRef]

J. H. Kim, Y. M. Jhon, Y. T. Byun, S. Lee, D. H. Woo, and S. H. Kim, “All-optical XOR gate using semiconductor optical amplifiers without additional input beam,” IEEE Photon. Technol. Lett.14(10), 1436–1438 (2002).
[CrossRef]

Lee, W.

Leuthold, J.

I. Kang, C. Dorrer, and J. Leuthold, “All-optical XOR operation of 40 Gbit/s phase-shift-keyed data using four-wave mixing in semiconductor optical amplifier,” Electron. Lett.40(8), 496–498 (2004).
[CrossRef]

Li, F.

Li, J.

Luo, T.

C. Yu, L. Christen, T. Luo, Y. Wang, Z. Pan, L. S. Yan, and A. E. Willner, “All-optical XOR gate using polarization rotation in single highly nonlinear fiber,” IEEE Photon. Technol. Lett.17(6), 1232–1234 (2005).
[CrossRef]

Luther-Davies, B.

Ma, R.

Madden, S. J.

Malacarne, A.

A. Malacarne, E. Lazzeri, V. Vercesi, M. Scaffardi, and A. Bogoni, “Colorless all-optical sum and subtraction of phases for phase-shift keying signals based on a periodically poled lithium niobate waveguide,” Opt. Lett.37(18), 3831–3833 (2012).
[PubMed]

E. Lazzeri, A. Malacarne, G. Serafino, and A. Bogoni, “Optical XOR for error detection and coding of QPSK I and Q components in PPLN waveguide,” IEEE Photon. Technol. Lett.24(24), 2258–2261 (2012), doi:.
[CrossRef]

Manning, R. J.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, “Nonlinear optics for high-speed digital information processing,” Science286(5444), 1523–1528 (1999).
[CrossRef] [PubMed]

Moss, D. J.

Mou, X. D.

Nakazawa, M.

Nesset, D.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, “Nonlinear optics for high-speed digital information processing,” Science286(5444), 1523–1528 (1999).
[CrossRef] [PubMed]

Nuccio, S.

Nuccio, S. R.

Painchaud, Y.

Pan, Z.

C. Yu, L. Christen, T. Luo, Y. Wang, Z. Pan, L. S. Yan, and A. E. Willner, “All-optical XOR gate using polarization rotation in single highly nonlinear fiber,” IEEE Photon. Technol. Lett.17(6), 1232–1234 (2005).
[CrossRef]

Pant, R.

Parameswaran, K. R.

Park, N.

Y. J. Jung, C. W. Son, S. Lee, S. Gil, H. S. Kim, and N. Park, “Demonstration of 10 Gbps, all-optical encryption and decryption system utilizing SOA XOR logic gates,” Opt. Quantum Electron.40(5-6), 425–430 (2008).
[CrossRef]

Pelusi, M.

Pelusi, M. D.

Phillips, I. D.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, “Nonlinear optics for high-speed digital information processing,” Science286(5444), 1523–1528 (1999).
[CrossRef] [PubMed]

Porzi, C.

C. Porzi, A. Bogoni, and G. Contestabile, “Regeneration of DPSK signals in a saturated SOA,” IEEE Photon. Technol. Lett.24(18), 1597–1599 (2012).
[CrossRef]

C. Porzi, M. Scaffardi, L. Potì, and A. Bogoni, “Optical digital signal processing in a single SOA without assist probe light,” IEEE J. Sel. Top. Quantum Electron.16(5), 1469–1475 (2010).
[CrossRef]

Potì, L.

C. Porzi, M. Scaffardi, L. Potì, and A. Bogoni, “Optical digital signal processing in a single SOA without assist probe light,” IEEE J. Sel. Top. Quantum Electron.16(5), 1469–1475 (2010).
[CrossRef]

Poustie, A. J.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, “Nonlinear optics for high-speed digital information processing,” Science286(5444), 1523–1528 (1999).
[CrossRef] [PubMed]

Qiu, J. F.

J. F. Qiu, K. Sun, M. Rochette, and L. R. Chen, “Reconfigurable all-optical multilogic gate (XOR, AND, and OR) based on cross-phase modulation in a highly nonlinear fiber,” IEEE Photon. Technol. Lett.22(16), 1199–1201 (2010).
[CrossRef]

Raybon, G.

Rochette, M.

J. F. Qiu, K. Sun, M. Rochette, and L. R. Chen, “Reconfigurable all-optical multilogic gate (XOR, AND, and OR) based on cross-phase modulation in a highly nonlinear fiber,” IEEE Photon. Technol. Lett.22(16), 1199–1201 (2010).
[CrossRef]

Rogers, D. C.

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, “Nonlinear optics for high-speed digital information processing,” Science286(5444), 1523–1528 (1999).
[CrossRef] [PubMed]

Scaffardi, M.

A. Malacarne, E. Lazzeri, V. Vercesi, M. Scaffardi, and A. Bogoni, “Colorless all-optical sum and subtraction of phases for phase-shift keying signals based on a periodically poled lithium niobate waveguide,” Opt. Lett.37(18), 3831–3833 (2012).
[PubMed]

C. Porzi, M. Scaffardi, L. Potì, and A. Bogoni, “Optical digital signal processing in a single SOA without assist probe light,” IEEE J. Sel. Top. Quantum Electron.16(5), 1469–1475 (2010).
[CrossRef]

Schröder, J.

Serafino, G.

E. Lazzeri, A. Malacarne, G. Serafino, and A. Bogoni, “Optical XOR for error detection and coding of QPSK I and Q components in PPLN waveguide,” IEEE Photon. Technol. Lett.24(24), 2258–2261 (2012), doi:.
[CrossRef]

Son, C. W.

Y. J. Jung, C. W. Son, S. Lee, S. Gil, H. S. Kim, and N. Park, “Demonstration of 10 Gbps, all-optical encryption and decryption system utilizing SOA XOR logic gates,” Opt. Quantum Electron.40(5-6), 425–430 (2008).
[CrossRef]

Song, H.

Sun, J.

J. Wang, Q. Sun, J. Sun, and X. Zhang, “Experimental demonstration on 40 Gbit/s all-optical multicasting logic XOR gate for NRZDPSK signals using four-wave mixing in highly nonlinear fiber,” Opt. Commun.282(13), 2615–2619 (2009).
[CrossRef]

J. Wang, J. Sun, Q. Sun, D. Wang, M. Zhou, X. Zhang, D. Huang, and M. M. Fejer, “Dual-channel-output all-optical logic AND gate at 20 Gbit/s based on cascaded second-order nonlinearity in PPLN waveguide,” Electron. Lett.43(17), 940–941 (2007).
[CrossRef]

Sun, J. Q.

Sun, K.

J. F. Qiu, K. Sun, M. Rochette, and L. R. Chen, “Reconfigurable all-optical multilogic gate (XOR, AND, and OR) based on cross-phase modulation in a highly nonlinear fiber,” IEEE Photon. Technol. Lett.22(16), 1199–1201 (2010).
[CrossRef]

Sun, Q.

J. Wang, Q. Sun, J. Sun, and X. Zhang, “Experimental demonstration on 40 Gbit/s all-optical multicasting logic XOR gate for NRZDPSK signals using four-wave mixing in highly nonlinear fiber,” Opt. Commun.282(13), 2615–2619 (2009).
[CrossRef]

J. Wang, J. Sun, Q. Sun, D. Wang, M. Zhou, X. Zhang, D. Huang, and M. M. Fejer, “Dual-channel-output all-optical logic AND gate at 20 Gbit/s based on cascaded second-order nonlinearity in PPLN waveguide,” Electron. Lett.43(17), 940–941 (2007).
[CrossRef]

Sun, Q. Z.

Tomiyama, Y.

Vercesi, V.

Vo, T. D.

Wang, D.

J. Wang, J. Sun, Q. Sun, D. Wang, M. Zhou, X. Zhang, D. Huang, and M. M. Fejer, “Dual-channel-output all-optical logic AND gate at 20 Gbit/s based on cascaded second-order nonlinearity in PPLN waveguide,” Electron. Lett.43(17), 940–941 (2007).
[CrossRef]

Wang, J.

J. Wang, S. R. Nuccio, J.-Y. Yang, X. X. Wu, A. Bogoni, and A. E. Willner, “High-speed addition/subtraction/complement/doubling of quaternary numbers using optical nonlinearities and DQPSK signals,” Opt. Lett.37(7), 1139–1141 (2012).
[CrossRef] [PubMed]

J. Wang, J.-Y. Yang, X. X. Wu, and A. E. Willner, “Optical hexadecimal coding/decoding using 16-QAM signal and FWM in HNLFs,” J. Lightwave Technol.30(17), 2890–2900 (2012).
[CrossRef]

J. Wang, H. Huang, X. Wang, J.-Y. Yang, and A. E. Willner, “Reconfigurable 2.3-Tbit/s DQPSK simultaneous add/drop, data exchange and equalization using double-pass LCoS and bidirectional HNLF,” Opt. Express19(19), 18246–18252 (2011).
[CrossRef] [PubMed]

J. Wang, H. Huang, X. Wang, J.-Y. Yang, and A. E. Willner, “Multi-channel 100-Gbit/s DQPSK data exchange using bidirectional degenerate four-wave mixing,” Opt. Express19(4), 3332–3338 (2011).
[CrossRef] [PubMed]

J. Wang, S. R. Nuccio, H. Huang, X. Wang, J.-Y. Yang, and A. E. Willner, “Optical data exchange of 100-Gbit/s DQPSK signals,” Opt. Express18(23), 23740–23745 (2010).
[CrossRef] [PubMed]

J. Wang, Q. Z. Sun, and J. Q. Sun, “All-optical 40 Gbit/s CSRZ-DPSK logic XOR gate and format conversion using four-wave mixing,” Opt. Express17(15), 12555–12563 (2009).
[CrossRef] [PubMed]

J. Wang, Q. Sun, J. Sun, and X. Zhang, “Experimental demonstration on 40 Gbit/s all-optical multicasting logic XOR gate for NRZDPSK signals using four-wave mixing in highly nonlinear fiber,” Opt. Commun.282(13), 2615–2619 (2009).
[CrossRef]

J. Wang, Q. Z. Sun, and J. Q. Sun, “Ultrafast all-optical logic AND gate for CSRZ signals using periodically poled lithium niobate,” J. Opt. Soc. Am. B26(5), 951–958 (2009).
[CrossRef]

J. Wang, J. Q. Sun, X. L. Zhang, D. X. Huang, and M. M. Fejer, “Ultrafast all-optical three-input boolean XOR operation for differential phase-shift keying signals using periodically poled lithium niobate,” Opt. Lett.33(13), 1419–1421 (2008).
[CrossRef] [PubMed]

J. Wang, J. Sun, Q. Sun, D. Wang, M. Zhou, X. Zhang, D. Huang, and M. M. Fejer, “Dual-channel-output all-optical logic AND gate at 20 Gbit/s based on cascaded second-order nonlinearity in PPLN waveguide,” Electron. Lett.43(17), 940–941 (2007).
[CrossRef]

J. Wang, J. Q. Sun, and Q. Z. Sun, “Single-PPLN-based simultaneous half-adder, half-subtracter, and OR logic gate: proposal and simulation,” Opt. Express15(4), 1690–1699 (2007).
[CrossRef] [PubMed]

Wang, X.

Wang, Y.

C. Yu, L. Christen, T. Luo, Y. Wang, Z. Pan, L. S. Yan, and A. E. Willner, “All-optical XOR gate using polarization rotation in single highly nonlinear fiber,” IEEE Photon. Technol. Lett.17(6), 1232–1234 (2005).
[CrossRef]

Wellbrock, G.

Willner, A. E.

J. Wang, J.-Y. Yang, X. X. Wu, and A. E. Willner, “Optical hexadecimal coding/decoding using 16-QAM signal and FWM in HNLFs,” J. Lightwave Technol.30(17), 2890–2900 (2012).
[CrossRef]

J. Wang, S. R. Nuccio, J.-Y. Yang, X. X. Wu, A. Bogoni, and A. E. Willner, “High-speed addition/subtraction/complement/doubling of quaternary numbers using optical nonlinearities and DQPSK signals,” Opt. Lett.37(7), 1139–1141 (2012).
[CrossRef] [PubMed]

J. Wang, H. Huang, X. Wang, J.-Y. Yang, and A. E. Willner, “Multi-channel 100-Gbit/s DQPSK data exchange using bidirectional degenerate four-wave mixing,” Opt. Express19(4), 3332–3338 (2011).
[CrossRef] [PubMed]

J. Wang, H. Huang, X. Wang, J.-Y. Yang, and A. E. Willner, “Reconfigurable 2.3-Tbit/s DQPSK simultaneous add/drop, data exchange and equalization using double-pass LCoS and bidirectional HNLF,” Opt. Express19(19), 18246–18252 (2011).
[CrossRef] [PubMed]

A. Bogoni, X. Wu, Z. Bakhtiari, S. Nuccio, and A. E. Willner, “640 Gbits/s photonic logic gates,” Opt. Lett.35(23), 3955–3957 (2010).
[CrossRef] [PubMed]

J. Wang, S. R. Nuccio, H. Huang, X. Wang, J.-Y. Yang, and A. E. Willner, “Optical data exchange of 100-Gbit/s DQPSK signals,” Opt. Express18(23), 23740–23745 (2010).
[CrossRef] [PubMed]

S. Kumar, A. E. Willner, D. Gurkan, K. R. Parameswaran, and M. M. Fejer, “All-optical half adder using an SOA and a PPLN waveguide for signal processing in optical networks,” Opt. Express14(22), 10255–10260 (2006).
[CrossRef] [PubMed]

C. Yu, L. Christen, T. Luo, Y. Wang, Z. Pan, L. S. Yan, and A. E. Willner, “All-optical XOR gate using polarization rotation in single highly nonlinear fiber,” IEEE Photon. Technol. Lett.17(6), 1232–1234 (2005).
[CrossRef]

Winzer, P. J.

Woo, D. H.

J. H. Kim, Y. M. Jhon, Y. T. Byun, S. Lee, D. H. Woo, and S. H. Kim, “All-optical XOR gate using semiconductor optical amplifiers without additional input beam,” IEEE Photon. Technol. Lett.14(10), 1436–1438 (2002).
[CrossRef]

Wu, X.

Wu, X. X.

Xia, T. J.

Xie, Y. Q.

Xu, D.-X.

Yan, L. S.

C. Yu, L. Christen, T. Luo, Y. Wang, Z. Pan, L. S. Yan, and A. E. Willner, “All-optical XOR gate using polarization rotation in single highly nonlinear fiber,” IEEE Photon. Technol. Lett.17(6), 1232–1234 (2005).
[CrossRef]

Yang, J.-Y.

Yu, C.

C. Yu, L. Christen, T. Luo, Y. Wang, Z. Pan, L. S. Yan, and A. E. Willner, “All-optical XOR gate using polarization rotation in single highly nonlinear fiber,” IEEE Photon. Technol. Lett.17(6), 1232–1234 (2005).
[CrossRef]

Yu, J.

Zhang, X.

J. Wang, Q. Sun, J. Sun, and X. Zhang, “Experimental demonstration on 40 Gbit/s all-optical multicasting logic XOR gate for NRZDPSK signals using four-wave mixing in highly nonlinear fiber,” Opt. Commun.282(13), 2615–2619 (2009).
[CrossRef]

J. Wang, J. Sun, Q. Sun, D. Wang, M. Zhou, X. Zhang, D. Huang, and M. M. Fejer, “Dual-channel-output all-optical logic AND gate at 20 Gbit/s based on cascaded second-order nonlinearity in PPLN waveguide,” Electron. Lett.43(17), 940–941 (2007).
[CrossRef]

Zhang, X. L.

Zhou, M.

J. Wang, J. Sun, Q. Sun, D. Wang, M. Zhou, X. Zhang, D. Huang, and M. M. Fejer, “Dual-channel-output all-optical logic AND gate at 20 Gbit/s based on cascaded second-order nonlinearity in PPLN waveguide,” Electron. Lett.43(17), 940–941 (2007).
[CrossRef]

Zhou, X.

Electron. Lett.

I. Kang, C. Dorrer, and J. Leuthold, “All-optical XOR operation of 40 Gbit/s phase-shift-keyed data using four-wave mixing in semiconductor optical amplifier,” Electron. Lett.40(8), 496–498 (2004).
[CrossRef]

J. Wang, J. Sun, Q. Sun, D. Wang, M. Zhou, X. Zhang, D. Huang, and M. M. Fejer, “Dual-channel-output all-optical logic AND gate at 20 Gbit/s based on cascaded second-order nonlinearity in PPLN waveguide,” Electron. Lett.43(17), 940–941 (2007).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

N. Deng, K. Chan, C. K. Chan, and L. K. Chen, “An all-optical XOR logic gate for high-speed RZ-DPSK signals by FWMin semiconductor optical amplifier,” IEEE J. Sel. Top. Quantum Electron.12(4), 702–707 (2006).
[CrossRef]

C. Porzi, M. Scaffardi, L. Potì, and A. Bogoni, “Optical digital signal processing in a single SOA without assist probe light,” IEEE J. Sel. Top. Quantum Electron.16(5), 1469–1475 (2010).
[CrossRef]

IEEE Photon. Technol. Lett.

J. H. Kim, Y. M. Jhon, Y. T. Byun, S. Lee, D. H. Woo, and S. H. Kim, “All-optical XOR gate using semiconductor optical amplifiers without additional input beam,” IEEE Photon. Technol. Lett.14(10), 1436–1438 (2002).
[CrossRef]

E. Lazzeri, A. Malacarne, G. Serafino, and A. Bogoni, “Optical XOR for error detection and coding of QPSK I and Q components in PPLN waveguide,” IEEE Photon. Technol. Lett.24(24), 2258–2261 (2012), doi:.
[CrossRef]

C. Yu, L. Christen, T. Luo, Y. Wang, Z. Pan, L. S. Yan, and A. E. Willner, “All-optical XOR gate using polarization rotation in single highly nonlinear fiber,” IEEE Photon. Technol. Lett.17(6), 1232–1234 (2005).
[CrossRef]

J. F. Qiu, K. Sun, M. Rochette, and L. R. Chen, “Reconfigurable all-optical multilogic gate (XOR, AND, and OR) based on cross-phase modulation in a highly nonlinear fiber,” IEEE Photon. Technol. Lett.22(16), 1199–1201 (2010).
[CrossRef]

C. Porzi, A. Bogoni, and G. Contestabile, “Regeneration of DPSK signals in a saturated SOA,” IEEE Photon. Technol. Lett.24(18), 1597–1599 (2012).
[CrossRef]

J. Lightwave Technol.

J. Opt. Soc. Am. B

Opt. Commun.

J. Wang, Q. Sun, J. Sun, and X. Zhang, “Experimental demonstration on 40 Gbit/s all-optical multicasting logic XOR gate for NRZDPSK signals using four-wave mixing in highly nonlinear fiber,” Opt. Commun.282(13), 2615–2619 (2009).
[CrossRef]

Opt. Express

J. Wang, Q. Z. Sun, and J. Q. Sun, “All-optical 40 Gbit/s CSRZ-DPSK logic XOR gate and format conversion using four-wave mixing,” Opt. Express17(15), 12555–12563 (2009).
[CrossRef] [PubMed]

S. Kumar, A. E. Willner, D. Gurkan, K. R. Parameswaran, and M. M. Fejer, “All-optical half adder using an SOA and a PPLN waveguide for signal processing in optical networks,” Opt. Express14(22), 10255–10260 (2006).
[CrossRef] [PubMed]

J. Wang, J. Q. Sun, and Q. Z. Sun, “Single-PPLN-based simultaneous half-adder, half-subtracter, and OR logic gate: proposal and simulation,” Opt. Express15(4), 1690–1699 (2007).
[CrossRef] [PubMed]

P. Guan, T. Hirano, K. Harako, Y. Tomiyama, T. Hirooka, and M. Nakazawa, “2.56 Tbit/s/ch polarization-multiplexed DQPSK transmission over 300 km using time-domain optical Fourier transformation,” Opt. Express19(26), B567–B573 (2011).
[CrossRef] [PubMed]

J. Wang, S. R. Nuccio, H. Huang, X. Wang, J.-Y. Yang, and A. E. Willner, “Optical data exchange of 100-Gbit/s DQPSK signals,” Opt. Express18(23), 23740–23745 (2010).
[CrossRef] [PubMed]

J. Wang, H. Huang, X. Wang, J.-Y. Yang, and A. E. Willner, “Multi-channel 100-Gbit/s DQPSK data exchange using bidirectional degenerate four-wave mixing,” Opt. Express19(4), 3332–3338 (2011).
[CrossRef] [PubMed]

J. Wang, H. Huang, X. Wang, J.-Y. Yang, and A. E. Willner, “Reconfigurable 2.3-Tbit/s DQPSK simultaneous add/drop, data exchange and equalization using double-pass LCoS and bidirectional HNLF,” Opt. Express19(19), 18246–18252 (2011).
[CrossRef] [PubMed]

F. Li, T. D. Vo, C. Husko, M. Pelusi, D.-X. Xu, A. Densmore, R. Ma, S. Janz, B. J. Eggleton, and D. J. Moss, “All-optical XOR logic gate for 40Gb/s DPSK signals via FWM in a silicon nanowire,” Opt. Express19(21), 20364–20371 (2011).
[CrossRef] [PubMed]

C. Husko, T. D. Vo, B. Corcoran, J. Li, T. F. Krauss, and B. J. Eggleton, “Ultracompact all-optical XOR logic gate in a slow-light silicon photonic crystal waveguide,” Opt. Express19(21), 20681–20690 (2011).
[CrossRef] [PubMed]

Opt. Lett.

Opt. Quantum Electron.

Y. J. Jung, C. W. Son, S. Lee, S. Gil, H. S. Kim, and N. Park, “Demonstration of 10 Gbps, all-optical encryption and decryption system utilizing SOA XOR logic gates,” Opt. Quantum Electron.40(5-6), 425–430 (2008).
[CrossRef]

Science

D. Cotter, R. J. Manning, K. J. Blow, A. D. Ellis, A. E. Kelly, D. Nesset, I. D. Phillips, A. J. Poustie, and D. C. Rogers, “Nonlinear optics for high-speed digital information processing,” Science286(5444), 1523–1528 (1999).
[CrossRef] [PubMed]

Other

J. Wang, J. Yang, X. Wu, O. F. Yilmaz, S. R. Nuccio, and A. E. Willner, “40-Gbaud/s (120-Gbit/s) octal and 10-Gbaud/s (40-Gbit/s) hexadecimal simultaneous addition and subtraction using 8PSK/16PSK and highly nonlinear fiber,” in Optical Fiber Communication Conference, OSA Technical Digest (CD) (Optical Society of America, 2011), paper OThC3.

J. Wang, J. Yang, H. Huang, and A. Willner, “All-optical 50-Gbaud/s three-input hybrid addition/subtraction of quaternary base numbers using multiple non-degenerate FWM processes and 100-Gbit/s DQPSK signals,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.A.4.

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Figures (8)

Fig. 1
Fig. 1

Concept and principle of three-input (A, B, C) optical quaternary addition and subtraction (A + B-C, A + C-B, B + C-A, A + B + C) using non-degenerate FWM and DQPSK signals.

Fig. 2
Fig. 2

Experimental setup for 50-Gbaud/s three-input (A, B, C) optical quaternary addition and subtraction (A + B-C, A + C-B, B + C-A, A + B + C). HNLF: highly nonlinear fiber; Tx: transmitter; PC: polarization controller; OC: optical coupler; WSS: wavelength selective switch; ODL: optical delay line; EDFA: erbium-doped fiber amplifier; BPF: band-pass filter; Rx: receiver.

Fig. 3
Fig. 3

Measured spectra for 50-Gbaud/s three-input quaternary addition and subtraction. (a) C to –C conversion by degenerate FWM process. (b) Thee-input (A, B, C) quaternary hybrid addition and subtraction of A + B-C (idler 1), A + C-B (idler 2) and B + C-A (idler 3). (c) Thee-input (A, B, –C) quaternary addition of A + B + C (idler 1).

Fig. 4
Fig. 4

Demodulated temporal waveforms and balanced eye diagrams for 50-Gbaud/s three-input (A, B, C) quaternary addition and subtraction (A + B-C, A + C-B, B + C-A, A + B + C) using 100-Gbit/s RZ-DQPSK signals.

Fig. 5
Fig. 5

Demodulated temporal waveforms and balanced eye diagrams for 100-Gbit/s RZ-DQPSK signals (A, B, C, -C) after quaternary addition and subtraction operations.

Fig. 6
Fig. 6

Measured BER curves for 50-Gbaud/s three-input quaternary hybrid addition and subtraction of A + B-C, A + C-B and B + C-A. (a)(b) A + B-C, A + C-B, B + C-A. (c)(d) Sig. A, Sig. B, Sig. C after HNLF. (a)(c) Ch. I. (b)(d) Ch. Q. B-to-B: back-to-back.

Fig. 7
Fig. 7

Measured BER curves for 50-Gbaud/s conversion from C to –C and three-input quaternary addition of A + B + C. (a)(b) Conversion from C to –C. (c)(d) A + B + C. (a)(c) Ch. I. (b)(d) Ch. Q. B-to-B: back-to-back.

Fig. 8
Fig. 8

Measured constellation diagrams for 50-Gbaud/s three-input quaternary addition and subtraction.

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