Abstract

Following a fiber optical parametric amplifier, used as a wavelength converter or in the phase-sensitive mode, by a phase-insensitive amplifier (PIA) can significantly reduce four-wave mixing between signals in broadband systems. We derive the quantum mechanical noise figures (NF) for these two hybrid configurations, and show that adding the PIA only leads to a moderate increase in NF.

© 2012 OSA

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. E. Willner, Z. Pan, and M. I. Hayee, “Major accomplishments in 2010 on optical fiber communications,” IEEE Photon. J.3(2), 320–324 (2011).
    [CrossRef]
  2. D. Qian, M.-F. Huang, E. Ip, Y.-K. Huang, Y. Shao, J. Hu, and T. Wang, “101.7-Tb/s (370×294-Gb/s) PDM-128QAM-OFDM transmission over 3x55-km SSMF using pilot-based phase noise mitigation,” in Proceedings of OFC/NFOEC 2011, Anaheim, CA, March 6–10, 2011, paper PDPB5.
  3. M. E. Marhic, Fiber Optical Parametric Amplifiers, Oscillators and Related Devices (Cambridge University Press, 2007).
  4. C. M. Caves, “Quantum limits on noise in linear amplifiers,” Phys. Rev. D Part. Fields26(8), 1817–1839 (1982).
    [CrossRef]
  5. P. A. Andrekson, C. Lundstrom, and Z. Tong, “Phase-sensitive fiber-optic parametric amplifiers and their applications,” in Proceedings of ECOC2010, 19–23 September 2010, Turin, Italy, We.6.E.1.
  6. Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, “Towards ultrasensitive optical links enabled by low-noise phase-sensitive amplifiers,” Nat. Photonics5(7), 430–436 (2011).
    [CrossRef]
  7. Z. Tong, C. Lundström, P. A. Andrekson, M. Karlsson, and A. Bogris, “Ultralow noise, broadband phase-sensitive optical amplifiers, and their applications,” IEEE J. Sel. Top. Quantum Electron.18(2), 1016–1032 (2012).
    [CrossRef]
  8. J. L. Blows, “Design strategy for controlling four-wave mixing-induced crosstalk between channels in a fibre optical parametric amplifier,” Opt. Commun.236(1-3), 115–122 (2004).
    [CrossRef]
  9. J. L. Blows and P.- Hu, “Cross-talk-induced limitations of two-pump optical fiber parametric amplifiers,” J. Opt. Soc. Am. B21(5), 989–995 (2004).
    [CrossRef]
  10. P.- Hu and J. L. Blows, “Four-wave mixing crosstalk in optical fibre parametric amplifiers with orthogonal pumps,” Opt. Commun.250(4-6), 421–427 (2005).
    [CrossRef]
  11. J. M. C. Boggio, J. D. Marconi, and H. L. Fragnito, “Crosstalk in double-pumped fiber optic parametric amplifiers for wavelength division multiplexing systems,” Opt. Commun.259(1), 94–103 (2006).
    [CrossRef]
  12. J. M. C. Boggio, E. A. M. Fagotto, M. E. Marhic, F. A. Callegari, and H. L. Fragnito “Amplification of 12 × 10 Gb/s WDM signals with negligible FWM crosstalk in a double-pumped fiber optical parametric amplifier,” Opt. Commun.280(2), 468–471 (2007).
    [CrossRef]
  13. B. P.-P. Kuo, P. C. Chui, and K. K.-Y. Wong, “A comprehensive study on crosstalk suppression techniques in fiber optical parametric amplifier by modulation format,” IEEE J. Sel. Top. Quantum Electron.14(3), 659–665 (2008).
    [CrossRef]
  14. M. Jamshidifar, A. Vedadi, and M. E. Marhic, “Reduction of four-wave mixing crosstalk in a short fiber optical parametric amplifier,” IEEE Photon. Technol. Lett.21(17), 1244–1246 (2009).
    [CrossRef]
  15. N. E. Dahdah, D. S. Govan, M. Jamshidifar, N. J. Doran, and M. E. Marhic, “Fiber optical parametric amplifier performance in a 1-Tb/s DWDM communication system,” IEEE J. Sel. Top. Quantum Electron.18(2), 950–957 (2012).
    [CrossRef]
  16. M. E. Marhic, “Hybrid phase-sensitive and phase-insensitive amplifiers for optical communication,” in Proceedings of 17th OECC, Busan, Korea, July 2–6 2012.
  17. H. Friis, “Noise figures of radio receivers,” Proc. I.R.E. 32, 419–422 (1944).
  18. H. Haus, “The noise figure of optical amplifiers,” IEEE Photon. Technol. Lett.10(11), 1602–1604 (1998).
    [CrossRef]
  19. Y. Yamamoto and K. Inoue, “Noise in amplifiers,” J. Lightwave Technol.21(11), 2895–2915 (2003).
    [CrossRef]
  20. C. McKinstrie, M. Yu, M. G. Raymer, and S. Radic, “Quantum noise properties of parametric processes,” Opt. Express13(13), 4986–5012 (2005).
    [CrossRef] [PubMed]
  21. C. J. McKinstrie, M. Karlsson, and Z. Tong, “Field-quadrature and photon-number correlations produced by parametric processes,” Opt. Express18(19), 19792–19823 (2010).
    [CrossRef] [PubMed]
  22. U. Leonhardt, “Quantum physics of simple optical instruments,” Rep. Prog. Phys.66(7), 1207–1249 (2003).
    [CrossRef]
  23. B. Corcoran, S. L. I. Olsson, C. Lundström, M. Karlsson, and P. Andrekson, “Phase-sensitive optical pre-amplifier implemented in an 80 km DQPSK link,” in Proceedings of OFC/NFOEC 2012, Los Angeles, CA, March 6–8, 2012, paper PDP5A.4.

2012 (2)

Z. Tong, C. Lundström, P. A. Andrekson, M. Karlsson, and A. Bogris, “Ultralow noise, broadband phase-sensitive optical amplifiers, and their applications,” IEEE J. Sel. Top. Quantum Electron.18(2), 1016–1032 (2012).
[CrossRef]

N. E. Dahdah, D. S. Govan, M. Jamshidifar, N. J. Doran, and M. E. Marhic, “Fiber optical parametric amplifier performance in a 1-Tb/s DWDM communication system,” IEEE J. Sel. Top. Quantum Electron.18(2), 950–957 (2012).
[CrossRef]

2011 (2)

A. E. Willner, Z. Pan, and M. I. Hayee, “Major accomplishments in 2010 on optical fiber communications,” IEEE Photon. J.3(2), 320–324 (2011).
[CrossRef]

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, “Towards ultrasensitive optical links enabled by low-noise phase-sensitive amplifiers,” Nat. Photonics5(7), 430–436 (2011).
[CrossRef]

2010 (1)

2009 (1)

M. Jamshidifar, A. Vedadi, and M. E. Marhic, “Reduction of four-wave mixing crosstalk in a short fiber optical parametric amplifier,” IEEE Photon. Technol. Lett.21(17), 1244–1246 (2009).
[CrossRef]

2008 (1)

B. P.-P. Kuo, P. C. Chui, and K. K.-Y. Wong, “A comprehensive study on crosstalk suppression techniques in fiber optical parametric amplifier by modulation format,” IEEE J. Sel. Top. Quantum Electron.14(3), 659–665 (2008).
[CrossRef]

2007 (1)

J. M. C. Boggio, E. A. M. Fagotto, M. E. Marhic, F. A. Callegari, and H. L. Fragnito “Amplification of 12 × 10 Gb/s WDM signals with negligible FWM crosstalk in a double-pumped fiber optical parametric amplifier,” Opt. Commun.280(2), 468–471 (2007).
[CrossRef]

2006 (1)

J. M. C. Boggio, J. D. Marconi, and H. L. Fragnito, “Crosstalk in double-pumped fiber optic parametric amplifiers for wavelength division multiplexing systems,” Opt. Commun.259(1), 94–103 (2006).
[CrossRef]

2005 (2)

P.- Hu and J. L. Blows, “Four-wave mixing crosstalk in optical fibre parametric amplifiers with orthogonal pumps,” Opt. Commun.250(4-6), 421–427 (2005).
[CrossRef]

C. McKinstrie, M. Yu, M. G. Raymer, and S. Radic, “Quantum noise properties of parametric processes,” Opt. Express13(13), 4986–5012 (2005).
[CrossRef] [PubMed]

2004 (2)

J. L. Blows, “Design strategy for controlling four-wave mixing-induced crosstalk between channels in a fibre optical parametric amplifier,” Opt. Commun.236(1-3), 115–122 (2004).
[CrossRef]

J. L. Blows and P.- Hu, “Cross-talk-induced limitations of two-pump optical fiber parametric amplifiers,” J. Opt. Soc. Am. B21(5), 989–995 (2004).
[CrossRef]

2003 (2)

Y. Yamamoto and K. Inoue, “Noise in amplifiers,” J. Lightwave Technol.21(11), 2895–2915 (2003).
[CrossRef]

U. Leonhardt, “Quantum physics of simple optical instruments,” Rep. Prog. Phys.66(7), 1207–1249 (2003).
[CrossRef]

1998 (1)

H. Haus, “The noise figure of optical amplifiers,” IEEE Photon. Technol. Lett.10(11), 1602–1604 (1998).
[CrossRef]

1982 (1)

C. M. Caves, “Quantum limits on noise in linear amplifiers,” Phys. Rev. D Part. Fields26(8), 1817–1839 (1982).
[CrossRef]

Andrekson, P. A.

Z. Tong, C. Lundström, P. A. Andrekson, M. Karlsson, and A. Bogris, “Ultralow noise, broadband phase-sensitive optical amplifiers, and their applications,” IEEE J. Sel. Top. Quantum Electron.18(2), 1016–1032 (2012).
[CrossRef]

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, “Towards ultrasensitive optical links enabled by low-noise phase-sensitive amplifiers,” Nat. Photonics5(7), 430–436 (2011).
[CrossRef]

Blessing, D. J.

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, “Towards ultrasensitive optical links enabled by low-noise phase-sensitive amplifiers,” Nat. Photonics5(7), 430–436 (2011).
[CrossRef]

Blows, J. L.

P.- Hu and J. L. Blows, “Four-wave mixing crosstalk in optical fibre parametric amplifiers with orthogonal pumps,” Opt. Commun.250(4-6), 421–427 (2005).
[CrossRef]

J. L. Blows, “Design strategy for controlling four-wave mixing-induced crosstalk between channels in a fibre optical parametric amplifier,” Opt. Commun.236(1-3), 115–122 (2004).
[CrossRef]

J. L. Blows and P.- Hu, “Cross-talk-induced limitations of two-pump optical fiber parametric amplifiers,” J. Opt. Soc. Am. B21(5), 989–995 (2004).
[CrossRef]

Boggio, J. M. C.

J. M. C. Boggio, E. A. M. Fagotto, M. E. Marhic, F. A. Callegari, and H. L. Fragnito “Amplification of 12 × 10 Gb/s WDM signals with negligible FWM crosstalk in a double-pumped fiber optical parametric amplifier,” Opt. Commun.280(2), 468–471 (2007).
[CrossRef]

J. M. C. Boggio, J. D. Marconi, and H. L. Fragnito, “Crosstalk in double-pumped fiber optic parametric amplifiers for wavelength division multiplexing systems,” Opt. Commun.259(1), 94–103 (2006).
[CrossRef]

Bogris, A.

Z. Tong, C. Lundström, P. A. Andrekson, M. Karlsson, and A. Bogris, “Ultralow noise, broadband phase-sensitive optical amplifiers, and their applications,” IEEE J. Sel. Top. Quantum Electron.18(2), 1016–1032 (2012).
[CrossRef]

Callegari, F. A.

J. M. C. Boggio, E. A. M. Fagotto, M. E. Marhic, F. A. Callegari, and H. L. Fragnito “Amplification of 12 × 10 Gb/s WDM signals with negligible FWM crosstalk in a double-pumped fiber optical parametric amplifier,” Opt. Commun.280(2), 468–471 (2007).
[CrossRef]

Caves, C. M.

C. M. Caves, “Quantum limits on noise in linear amplifiers,” Phys. Rev. D Part. Fields26(8), 1817–1839 (1982).
[CrossRef]

Chui, P. C.

B. P.-P. Kuo, P. C. Chui, and K. K.-Y. Wong, “A comprehensive study on crosstalk suppression techniques in fiber optical parametric amplifier by modulation format,” IEEE J. Sel. Top. Quantum Electron.14(3), 659–665 (2008).
[CrossRef]

Dahdah, N. E.

N. E. Dahdah, D. S. Govan, M. Jamshidifar, N. J. Doran, and M. E. Marhic, “Fiber optical parametric amplifier performance in a 1-Tb/s DWDM communication system,” IEEE J. Sel. Top. Quantum Electron.18(2), 950–957 (2012).
[CrossRef]

Doran, N. J.

N. E. Dahdah, D. S. Govan, M. Jamshidifar, N. J. Doran, and M. E. Marhic, “Fiber optical parametric amplifier performance in a 1-Tb/s DWDM communication system,” IEEE J. Sel. Top. Quantum Electron.18(2), 950–957 (2012).
[CrossRef]

Fagotto, E. A. M.

J. M. C. Boggio, E. A. M. Fagotto, M. E. Marhic, F. A. Callegari, and H. L. Fragnito “Amplification of 12 × 10 Gb/s WDM signals with negligible FWM crosstalk in a double-pumped fiber optical parametric amplifier,” Opt. Commun.280(2), 468–471 (2007).
[CrossRef]

Fragnito, H. L.

J. M. C. Boggio, E. A. M. Fagotto, M. E. Marhic, F. A. Callegari, and H. L. Fragnito “Amplification of 12 × 10 Gb/s WDM signals with negligible FWM crosstalk in a double-pumped fiber optical parametric amplifier,” Opt. Commun.280(2), 468–471 (2007).
[CrossRef]

J. M. C. Boggio, J. D. Marconi, and H. L. Fragnito, “Crosstalk in double-pumped fiber optic parametric amplifiers for wavelength division multiplexing systems,” Opt. Commun.259(1), 94–103 (2006).
[CrossRef]

Govan, D. S.

N. E. Dahdah, D. S. Govan, M. Jamshidifar, N. J. Doran, and M. E. Marhic, “Fiber optical parametric amplifier performance in a 1-Tb/s DWDM communication system,” IEEE J. Sel. Top. Quantum Electron.18(2), 950–957 (2012).
[CrossRef]

Grüner-Nielsen, L.

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, “Towards ultrasensitive optical links enabled by low-noise phase-sensitive amplifiers,” Nat. Photonics5(7), 430–436 (2011).
[CrossRef]

Haus, H.

H. Haus, “The noise figure of optical amplifiers,” IEEE Photon. Technol. Lett.10(11), 1602–1604 (1998).
[CrossRef]

Hayee, M. I.

A. E. Willner, Z. Pan, and M. I. Hayee, “Major accomplishments in 2010 on optical fiber communications,” IEEE Photon. J.3(2), 320–324 (2011).
[CrossRef]

Hu, P.-

P.- Hu and J. L. Blows, “Four-wave mixing crosstalk in optical fibre parametric amplifiers with orthogonal pumps,” Opt. Commun.250(4-6), 421–427 (2005).
[CrossRef]

J. L. Blows and P.- Hu, “Cross-talk-induced limitations of two-pump optical fiber parametric amplifiers,” J. Opt. Soc. Am. B21(5), 989–995 (2004).
[CrossRef]

Inoue, K.

Jamshidifar, M.

N. E. Dahdah, D. S. Govan, M. Jamshidifar, N. J. Doran, and M. E. Marhic, “Fiber optical parametric amplifier performance in a 1-Tb/s DWDM communication system,” IEEE J. Sel. Top. Quantum Electron.18(2), 950–957 (2012).
[CrossRef]

M. Jamshidifar, A. Vedadi, and M. E. Marhic, “Reduction of four-wave mixing crosstalk in a short fiber optical parametric amplifier,” IEEE Photon. Technol. Lett.21(17), 1244–1246 (2009).
[CrossRef]

Karlsson, M.

Z. Tong, C. Lundström, P. A. Andrekson, M. Karlsson, and A. Bogris, “Ultralow noise, broadband phase-sensitive optical amplifiers, and their applications,” IEEE J. Sel. Top. Quantum Electron.18(2), 1016–1032 (2012).
[CrossRef]

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, “Towards ultrasensitive optical links enabled by low-noise phase-sensitive amplifiers,” Nat. Photonics5(7), 430–436 (2011).
[CrossRef]

C. J. McKinstrie, M. Karlsson, and Z. Tong, “Field-quadrature and photon-number correlations produced by parametric processes,” Opt. Express18(19), 19792–19823 (2010).
[CrossRef] [PubMed]

Kuo, B. P.-P.

B. P.-P. Kuo, P. C. Chui, and K. K.-Y. Wong, “A comprehensive study on crosstalk suppression techniques in fiber optical parametric amplifier by modulation format,” IEEE J. Sel. Top. Quantum Electron.14(3), 659–665 (2008).
[CrossRef]

Leonhardt, U.

U. Leonhardt, “Quantum physics of simple optical instruments,” Rep. Prog. Phys.66(7), 1207–1249 (2003).
[CrossRef]

Lundström, C.

Z. Tong, C. Lundström, P. A. Andrekson, M. Karlsson, and A. Bogris, “Ultralow noise, broadband phase-sensitive optical amplifiers, and their applications,” IEEE J. Sel. Top. Quantum Electron.18(2), 1016–1032 (2012).
[CrossRef]

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, “Towards ultrasensitive optical links enabled by low-noise phase-sensitive amplifiers,” Nat. Photonics5(7), 430–436 (2011).
[CrossRef]

Marconi, J. D.

J. M. C. Boggio, J. D. Marconi, and H. L. Fragnito, “Crosstalk in double-pumped fiber optic parametric amplifiers for wavelength division multiplexing systems,” Opt. Commun.259(1), 94–103 (2006).
[CrossRef]

Marhic, M. E.

N. E. Dahdah, D. S. Govan, M. Jamshidifar, N. J. Doran, and M. E. Marhic, “Fiber optical parametric amplifier performance in a 1-Tb/s DWDM communication system,” IEEE J. Sel. Top. Quantum Electron.18(2), 950–957 (2012).
[CrossRef]

M. Jamshidifar, A. Vedadi, and M. E. Marhic, “Reduction of four-wave mixing crosstalk in a short fiber optical parametric amplifier,” IEEE Photon. Technol. Lett.21(17), 1244–1246 (2009).
[CrossRef]

J. M. C. Boggio, E. A. M. Fagotto, M. E. Marhic, F. A. Callegari, and H. L. Fragnito “Amplification of 12 × 10 Gb/s WDM signals with negligible FWM crosstalk in a double-pumped fiber optical parametric amplifier,” Opt. Commun.280(2), 468–471 (2007).
[CrossRef]

McKinstrie, C.

McKinstrie, C. J.

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, “Towards ultrasensitive optical links enabled by low-noise phase-sensitive amplifiers,” Nat. Photonics5(7), 430–436 (2011).
[CrossRef]

C. J. McKinstrie, M. Karlsson, and Z. Tong, “Field-quadrature and photon-number correlations produced by parametric processes,” Opt. Express18(19), 19792–19823 (2010).
[CrossRef] [PubMed]

Pan, Z.

A. E. Willner, Z. Pan, and M. I. Hayee, “Major accomplishments in 2010 on optical fiber communications,” IEEE Photon. J.3(2), 320–324 (2011).
[CrossRef]

Puttnam, B. J.

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, “Towards ultrasensitive optical links enabled by low-noise phase-sensitive amplifiers,” Nat. Photonics5(7), 430–436 (2011).
[CrossRef]

Radic, S.

Raymer, M. G.

Tipsuwannakul, E.

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, “Towards ultrasensitive optical links enabled by low-noise phase-sensitive amplifiers,” Nat. Photonics5(7), 430–436 (2011).
[CrossRef]

Toda, H.

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, “Towards ultrasensitive optical links enabled by low-noise phase-sensitive amplifiers,” Nat. Photonics5(7), 430–436 (2011).
[CrossRef]

Tong, Z.

Z. Tong, C. Lundström, P. A. Andrekson, M. Karlsson, and A. Bogris, “Ultralow noise, broadband phase-sensitive optical amplifiers, and their applications,” IEEE J. Sel. Top. Quantum Electron.18(2), 1016–1032 (2012).
[CrossRef]

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, “Towards ultrasensitive optical links enabled by low-noise phase-sensitive amplifiers,” Nat. Photonics5(7), 430–436 (2011).
[CrossRef]

C. J. McKinstrie, M. Karlsson, and Z. Tong, “Field-quadrature and photon-number correlations produced by parametric processes,” Opt. Express18(19), 19792–19823 (2010).
[CrossRef] [PubMed]

Vedadi, A.

M. Jamshidifar, A. Vedadi, and M. E. Marhic, “Reduction of four-wave mixing crosstalk in a short fiber optical parametric amplifier,” IEEE Photon. Technol. Lett.21(17), 1244–1246 (2009).
[CrossRef]

Willner, A. E.

A. E. Willner, Z. Pan, and M. I. Hayee, “Major accomplishments in 2010 on optical fiber communications,” IEEE Photon. J.3(2), 320–324 (2011).
[CrossRef]

Wong, K. K.-Y.

B. P.-P. Kuo, P. C. Chui, and K. K.-Y. Wong, “A comprehensive study on crosstalk suppression techniques in fiber optical parametric amplifier by modulation format,” IEEE J. Sel. Top. Quantum Electron.14(3), 659–665 (2008).
[CrossRef]

Yamamoto, Y.

Yu, M.

IEEE J. Sel. Top. Quantum Electron. (3)

Z. Tong, C. Lundström, P. A. Andrekson, M. Karlsson, and A. Bogris, “Ultralow noise, broadband phase-sensitive optical amplifiers, and their applications,” IEEE J. Sel. Top. Quantum Electron.18(2), 1016–1032 (2012).
[CrossRef]

B. P.-P. Kuo, P. C. Chui, and K. K.-Y. Wong, “A comprehensive study on crosstalk suppression techniques in fiber optical parametric amplifier by modulation format,” IEEE J. Sel. Top. Quantum Electron.14(3), 659–665 (2008).
[CrossRef]

N. E. Dahdah, D. S. Govan, M. Jamshidifar, N. J. Doran, and M. E. Marhic, “Fiber optical parametric amplifier performance in a 1-Tb/s DWDM communication system,” IEEE J. Sel. Top. Quantum Electron.18(2), 950–957 (2012).
[CrossRef]

IEEE Photon. J. (1)

A. E. Willner, Z. Pan, and M. I. Hayee, “Major accomplishments in 2010 on optical fiber communications,” IEEE Photon. J.3(2), 320–324 (2011).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

M. Jamshidifar, A. Vedadi, and M. E. Marhic, “Reduction of four-wave mixing crosstalk in a short fiber optical parametric amplifier,” IEEE Photon. Technol. Lett.21(17), 1244–1246 (2009).
[CrossRef]

H. Haus, “The noise figure of optical amplifiers,” IEEE Photon. Technol. Lett.10(11), 1602–1604 (1998).
[CrossRef]

J. Lightwave Technol. (1)

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

Nat. Photonics (1)

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, “Towards ultrasensitive optical links enabled by low-noise phase-sensitive amplifiers,” Nat. Photonics5(7), 430–436 (2011).
[CrossRef]

Opt. Commun. (4)

P.- Hu and J. L. Blows, “Four-wave mixing crosstalk in optical fibre parametric amplifiers with orthogonal pumps,” Opt. Commun.250(4-6), 421–427 (2005).
[CrossRef]

J. M. C. Boggio, J. D. Marconi, and H. L. Fragnito, “Crosstalk in double-pumped fiber optic parametric amplifiers for wavelength division multiplexing systems,” Opt. Commun.259(1), 94–103 (2006).
[CrossRef]

J. M. C. Boggio, E. A. M. Fagotto, M. E. Marhic, F. A. Callegari, and H. L. Fragnito “Amplification of 12 × 10 Gb/s WDM signals with negligible FWM crosstalk in a double-pumped fiber optical parametric amplifier,” Opt. Commun.280(2), 468–471 (2007).
[CrossRef]

J. L. Blows, “Design strategy for controlling four-wave mixing-induced crosstalk between channels in a fibre optical parametric amplifier,” Opt. Commun.236(1-3), 115–122 (2004).
[CrossRef]

Opt. Express (2)

Phys. Rev. D Part. Fields (1)

C. M. Caves, “Quantum limits on noise in linear amplifiers,” Phys. Rev. D Part. Fields26(8), 1817–1839 (1982).
[CrossRef]

Rep. Prog. Phys. (1)

U. Leonhardt, “Quantum physics of simple optical instruments,” Rep. Prog. Phys.66(7), 1207–1249 (2003).
[CrossRef]

Other (6)

B. Corcoran, S. L. I. Olsson, C. Lundström, M. Karlsson, and P. Andrekson, “Phase-sensitive optical pre-amplifier implemented in an 80 km DQPSK link,” in Proceedings of OFC/NFOEC 2012, Los Angeles, CA, March 6–8, 2012, paper PDP5A.4.

P. A. Andrekson, C. Lundstrom, and Z. Tong, “Phase-sensitive fiber-optic parametric amplifiers and their applications,” in Proceedings of ECOC2010, 19–23 September 2010, Turin, Italy, We.6.E.1.

D. Qian, M.-F. Huang, E. Ip, Y.-K. Huang, Y. Shao, J. Hu, and T. Wang, “101.7-Tb/s (370×294-Gb/s) PDM-128QAM-OFDM transmission over 3x55-km SSMF using pilot-based phase noise mitigation,” in Proceedings of OFC/NFOEC 2011, Anaheim, CA, March 6–10, 2011, paper PDPB5.

M. E. Marhic, Fiber Optical Parametric Amplifiers, Oscillators and Related Devices (Cambridge University Press, 2007).

M. E. Marhic, “Hybrid phase-sensitive and phase-insensitive amplifiers for optical communication,” in Proceedings of 17th OECC, Busan, Korea, July 2–6 2012.

H. Friis, “Noise figures of radio receivers,” Proc. I.R.E. 32, 419–422 (1944).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (2)

Fig. 1
Fig. 1

PSA-PIA combination. The dashed line is for the idler.

Fig. 2
Fig. 2

WC-PIA combination.

Equations (16)

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

N ^ d = d ^ d ^ =( A * a ^ + C * c ^ )( A a ^ +C c ^ )= | A | 2 N ^ a + | C | 2 ( 1+ N ^ c )+ A * C a ^ c ^ + C * A a ^ c ^
N d = N ^ d = | A | 2 N a + | C | 2
N ^ d 2 =( | A | 2 a ^ a ^ + | C | 2 c ^ c ^ + A * C a ^ c ^ + C * A a ^ c ^ )( | A | 2 a ^ a ^ + | C | 2 c ^ c ^ + A * C a ^ c ^ + C * A a ^ c ^ ) = | A | 4 a ^ a ^ a ^ a ^ + | C | 4 c ^ c ^ c ^ c ^ + ( A * C ) 2 a ^ a ^ c ^ c ^ + ( A C * ) 2 a ^ a ^ c ^ c ^ +2 | AC | 2 a ^ a ^ c ^ c ^ + | A | 2 A * C( a ^ a ^ a ^ c ^ + a ^ a ^ a ^ c ^ )+ | A | 2 C * A( a ^ a ^ a ^ c ^ + a ^ a ^ a ^ c ^ ) + | C | 2 A * C( a ^ c ^ c ^ c ^ + a ^ c ^ c ^ c ^ )+ | C | 2 A C * ( a ^ c ^ c ^ c ^ + a ^ c ^ c ^ c ^ ) + | AC | 2 ( a ^ a ^ c ^ c ^ + a ^ a ^ c ^ c ^ )
( N ^ d ) 2 = | A | 4 ( N a 2 + N a )+ | C | 4 +2 | AC | 2 N a + | AC | 2 ( N a +1 ) = | A | 4 N a 2 +( | A | 4 +3 | AC | 2 ) N a + | AC | 2 + | C | 4 .
N d 2 = ( | A | 2 N a + | C | 2 ) 2 = | A | 4 N a 2 + | C | 4 +2 | AC | 2 N a .
( Δ N d ) 2 =( | A | 4 + | AC | 2 ) N a + | AC | 2 = | A | 2 [ ( | A | 2 + | C | 2 ) N a + | C | 2 ].
F= SN R in SN R out = ( N a N d ) 2 ( Δ N d ) 2 ( Δ N a ) 2 = ( N a | A | 2 N a + | C | 2 i ) 2 | A | 2 [ ( | A | 2 + | C | 2 ) N a + | C | 2 ] N a = N a | A | 2 ( | A | 2 + | C | 2 ) N a + | C | 2 ( | A | 2 N a + | C | 2 ) 2 = N a G 1 G 2 ( G 1 G 2 + G 2 1 ) N a + G 2 1 ( G 1 G 2 N a + G 2 1 ) 2
FF'= ( G 1 G 2 + G 2 1 ) ( G 1 G 2 ) =1+ 1 G 1 1 G 1 G 2 .
N ^ c = c ^ c ^ =( U ^ + V ^ + W ^ )( U ^ + V ^ + W ^ ) = U ^ U ^ + U ^ V ^ + U ^ W ^ + V ^ U ^ + V ^ V ^ + V ^ W ^ + W ^ U ^ + W ^ V ^ + W ^ W ^ ..
N ^ c 2 = U ^ U ^ + U ^ V ^ + U ^ W ^ + V ^ U ^ + V ^ V ^ + V ^ W ^ + W ^ U ^ + W ^ V ^ + W ^ W ^ = U ^ U ^ U ^ U ^ + U ^ U ^ W ^ W ^ + U ^ V ^ V ^ U ^ + W ^ U ^ U ^ W ^ + W ^ V ^ V ^ W ^ + W ^ W ^ U ^ U ^ + W ^ W ^ W ^ W ^ =A a ^ a ^ a ^ a ^ +2(B+C) a ^ a ^ +D a ^ a ^ +E+H
N ^ c 2 =A N a 2 + N a (3A+2B+C+D)+A+2B+C+E+H.
N ^ c = U ^ U ^ + W ^ W ^ = G i G 2 ( N a +1)+ G 2 1,
N ^ c 2 =A N a 2 +2(A+B) N a +A+2B+H.
( Δ N c ) 2 =( A+C+D ) N a +C+E
F= ( A+C+D ) N a 2 +( C+E ) N a A N a 2 +2(A+B) N a +A+2B+H .
F=1+ C+D A =2+ 2 G i 1 G i G 2

Metrics