Abstract

We show a new graphical method to identify and create configurations yielding to nonlinearity compensation in a fiber transmission system. Method validity is shown with regards to different link configurations and different compensation techniques. It is demonstrated that a unifying principle can always be applied, because only one physical effect is involved, even if different practical arrangements are proposed. Disclosed method allows gaining physical insight and can be applied to derive new compensation techniques; two examples of configurations derived using the proposed technique are also reported.

© 2005 Optical Society of America

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References

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  1. A. Mecozzi, C.B. Clausen, and M. Shtaif, �??System impact of intra-channel nonlinear effects in highly dispersed optical pulse transmission�?? IEEE Photonics Technol. Lett. 12, 1633�??1635 (2000).
    [CrossRef]
  2. P.V. Mamyshev, N.A. Mamysheva, �??Pulse-overlapped dispersion-managed data transmission and intrachannel four-wave mixing�?? Opt. Lett. 24, 1454�??1456 (1999).
    [CrossRef]
  3. D. Kunimatsu, et al., �??Subpicosecond Pulse Transmission over 144 km Using Midway Optical Phase Conjugation via a Cascaded Second-Order Process in a LiNbO3 Waveguide�?? IEEE Photonics. Technol. Lett. 12, 1621�??1623 (2000).
    [CrossRef]
  4. I. Brener et al., �??Cancellation of all Kerr nonlinearities in long fiber spans using a LiNbO3 phase conjugator and Raman amplification�??, Optical Fiber Communication Conf. 2000, vol.4, 266-268, 2000
  5. W. Pieper, et al., �??Nonlinearity-insensitive standard-fibre transmission based on optical-phase conjugation in a semiconductor-laser amplifier�?? Electron. Lett. 30, 724�??726, Apr. 1994
    [CrossRef]
  6. P. Kaewplung, T. Angkaew, K. Kikuchi, �??Simultaneous suppression of third-order dispersion and sideband instability in single-channel optical fiber transmission by midway optical phase conjugation employing higher order dispersion management�?? IEEE J. Lightwave Technol. 21, 1465-1473 (2003)
    [CrossRef]
  7. S.Watanabe, et al., �??Generation of optical phase-conjugate waves and compensation for pulse shape distortion in a single-mode fiber�??IEEE J. Lightwave Technol 12, 2139-2146, Dec 1994
    [CrossRef]
  8. P. Minzioni, F. Alberti, A. Schiffini, �??Optimized Link Design for Non Linearity Cancellation by Optical Phase Conjugation�?? IEEE Photonics Technol. Lett, 16, 813�??815, March 2004.
    [CrossRef]
  9. A. Mecozzi, C. B. Clausen, and M. Shtaif, �??System impact of intra-channel nonlinear effects in highly dispersed optical pulse transmission�??, IEEE Photonics Technol. Lett., 12, 1633-1635, Dec. 2000
    [CrossRef]
  10. S. Kumar, J.C. Mauro, S. Raghavan, D.Q. Chowdhury, �??Intrachannel Nonlinear penalties in Dispersion- Managed Transmission Systems�?? IEEE J. Sel. Top. Quantum Electron. 8, 626-631 (2002).
    [CrossRef]
  11. A. Sano, et al. �??A 40-Gb/s/ch WDM Transmission with SPM/XPM Suppression Through Prechirping and Dispersion management�??, IEEE J. Lightwave Technol. 18, 1519-1527 (2000).
    [CrossRef]
  12. A.G. Striegler, and B.Schmauss, �??Compensation of Intrachannel Effects in Symmetric Dispersion-Managed Transmission Systems�?? IEEE J. Lightwave Technol, 22, 1877-1882, Aug. 2004
    [CrossRef]
  13. P. Minzioni, A. Schiffini, A. Paoletti �??Patent Application WO2003IT00455 20030724�?? (2003)
  14. G.P. Agrawal Nonlinear Fiber Optics, (Academic Press 90-91)

Electron. Lett. (1)

W. Pieper, et al., �??Nonlinearity-insensitive standard-fibre transmission based on optical-phase conjugation in a semiconductor-laser amplifier�?? Electron. Lett. 30, 724�??726, Apr. 1994
[CrossRef]

IEEE J. Lightwave Technol. (4)

P. Kaewplung, T. Angkaew, K. Kikuchi, �??Simultaneous suppression of third-order dispersion and sideband instability in single-channel optical fiber transmission by midway optical phase conjugation employing higher order dispersion management�?? IEEE J. Lightwave Technol. 21, 1465-1473 (2003)
[CrossRef]

S.Watanabe, et al., �??Generation of optical phase-conjugate waves and compensation for pulse shape distortion in a single-mode fiber�??IEEE J. Lightwave Technol 12, 2139-2146, Dec 1994
[CrossRef]

A. Sano, et al. �??A 40-Gb/s/ch WDM Transmission with SPM/XPM Suppression Through Prechirping and Dispersion management�??, IEEE J. Lightwave Technol. 18, 1519-1527 (2000).
[CrossRef]

A.G. Striegler, and B.Schmauss, �??Compensation of Intrachannel Effects in Symmetric Dispersion-Managed Transmission Systems�?? IEEE J. Lightwave Technol, 22, 1877-1882, Aug. 2004
[CrossRef]

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

S. Kumar, J.C. Mauro, S. Raghavan, D.Q. Chowdhury, �??Intrachannel Nonlinear penalties in Dispersion- Managed Transmission Systems�?? IEEE J. Sel. Top. Quantum Electron. 8, 626-631 (2002).
[CrossRef]

IEEE Photonics Technol. Lett. (3)

A. Mecozzi, C.B. Clausen, and M. Shtaif, �??System impact of intra-channel nonlinear effects in highly dispersed optical pulse transmission�?? IEEE Photonics Technol. Lett. 12, 1633�??1635 (2000).
[CrossRef]

P. Minzioni, F. Alberti, A. Schiffini, �??Optimized Link Design for Non Linearity Cancellation by Optical Phase Conjugation�?? IEEE Photonics Technol. Lett, 16, 813�??815, March 2004.
[CrossRef]

A. Mecozzi, C. B. Clausen, and M. Shtaif, �??System impact of intra-channel nonlinear effects in highly dispersed optical pulse transmission�??, IEEE Photonics Technol. Lett., 12, 1633-1635, Dec. 2000
[CrossRef]

IEEE Photonics. Technol. Lett. (1)

D. Kunimatsu, et al., �??Subpicosecond Pulse Transmission over 144 km Using Midway Optical Phase Conjugation via a Cascaded Second-Order Process in a LiNbO3 Waveguide�?? IEEE Photonics. Technol. Lett. 12, 1621�??1623 (2000).
[CrossRef]

Opt. Lett. (1)

Optical Fiber Communication Conf. (1)

I. Brener et al., �??Cancellation of all Kerr nonlinearities in long fiber spans using a LiNbO3 phase conjugator and Raman amplification�??, Optical Fiber Communication Conf. 2000, vol.4, 266-268, 2000

Other (2)

P. Minzioni, A. Schiffini, A. Paoletti �??Patent Application WO2003IT00455 20030724�?? (2003)

G.P. Agrawal Nonlinear Fiber Optics, (Academic Press 90-91)

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Figures (10)

Fig. 1.
Fig. 1.

Left: power and accumulated dispersion (solid and dotted line) required for MSSI. Right: derived PADD shows the perfectly symmetric distribution of nonlinear regions with respect to the zero of accumulated dispersion; DLamp is the dispersion accumulated by signal during propagation on one span. The nonlinear (grey) regions A and B are symmetrical to regions D and C respectively.

Fig. 2.
Fig. 2.

Left: evolution of power (solid) and accumulated dispersion (dotted) considering the optimal, OPC position. Right: derived PADD highlights the symmetry of nonlinear regions

Fig. 3.
Fig. 3.

Left: optimal positioning if n=2. Right: obtained PADD.

Fig. 4.
Fig. 4.

Left: evolution, along the link, of optical power (solid) and pulse’s accumulated dispersion (dotted). Right: The related PADD shows that nonlinear regions (areas A, B, C, D) are not symmetrical. In this example dispersion compensation is included only at the receiver.

Fig. 5.
Fig. 5.

PADD relatives to the two proposed configurations. In both cases nonlinear regions are symmetrical with respect to the axis of zero accumulated dispersion. Left: Added element (positioned upstream the OPC) has a dispersion sign opposite to that of transmission fiber. Right: The dispersion of fiber and of added element have the same sign, the element is thus placed downstream the OPC

Fig. 6.
Fig. 6.

Left: EOP as a function of dispersion compensated before the OPC.. Right: eye diagrams (RZ propagation on F1) when 0km and 79km (top and bottom) are compensated

Fig. 7.
Fig. 7.

The evolution of EOP (left) and timing jitter (right) is almost symmetrical if an appropriate DCM is added together with the OPC. Conversely both EOP and timing jitter grow in the second part of the link if no DCM is added, thus showing that the MSSI is not effective in this configuration.

Fig. 8.
Fig. 8.

Proposed dispersion map (left) and related PADD (right). Intra-span dispersion compensation, and inter-span nonlinearity compensation are obtained.

Fig. 9.
Fig. 9.

Left: the identified dispersion map employ two fibers in each span and its period is twice the span length. This fiber arrangement allows producing a symmetrical PADD. Right: commonly used map yielding periodical dispersion compensation.

Fig. 10.
Fig. 10.

Evolution, during propagation, of EOP and timing jitter in a standard map and in the map identified using the PADD

Tables (1)

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Table 1. fiber parameters considered for simulations

Equations (5)

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z pres , opt = n L amp 2 n ( α L amp 1 ) + ( n 1 ) e α L amp 2 α [ n ( n 1 ) e α L amp ]
z pres , opt = z msa + L eff 2 L amp 2
z pres , opt = n 2 L amp + L eff 2
D element = D f ( L amp L eff )
L comp . = D element D f

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