Abstract

Higher-order four-wave mixing effects are evaluated in WDM systems. Calculated and measured results show that higher-order FWM crosstalk, though small compared to the first-order FWM crosstalk, could be significant in unequal channel-spacing WDM systems where the first-order FWM is not a problem.

© Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |

  1. F. Forghieri, R. W. Tkach, A. R. Chraplyvy, "WDM system with unequally spaced channels," J. Lightwave Technology, 13, 889-897, (1995).
    [CrossRef]
  2. N. Shibata, R. P. Braun, and R. G. Warrts, Phase-mismatch dependence of efficiency of wave generation through four-wave mixing in a single-mode fiber," IEEE J. of Quantum Electronics, QE-23, 1205-1211, (1987).
    [CrossRef]
  3. S. Song, C. Allen, K. Demarest, R. Hui, "Intensity-dependent effects on FWM in optic fibers," J. of Lightwave Technology, 17, 2285-2290, (1999).
    [CrossRef]
  4. Inoue, K., "Polarization effect on four-wave mixing efficiency in a single-mode fiber," IEEE J. of Quantum Electronics, 28, 883-895, (1992).
    [CrossRef]
  5. S. Song, C. Allen, K. Demarest, R. Hui, "A novel nonlinear method for measuring polarization mode dispersion," J. of Lightwave Technology, 17,12, 2530-2533, (1999).

Other (5)

F. Forghieri, R. W. Tkach, A. R. Chraplyvy, "WDM system with unequally spaced channels," J. Lightwave Technology, 13, 889-897, (1995).
[CrossRef]

N. Shibata, R. P. Braun, and R. G. Warrts, Phase-mismatch dependence of efficiency of wave generation through four-wave mixing in a single-mode fiber," IEEE J. of Quantum Electronics, QE-23, 1205-1211, (1987).
[CrossRef]

S. Song, C. Allen, K. Demarest, R. Hui, "Intensity-dependent effects on FWM in optic fibers," J. of Lightwave Technology, 17, 2285-2290, (1999).
[CrossRef]

Inoue, K., "Polarization effect on four-wave mixing efficiency in a single-mode fiber," IEEE J. of Quantum Electronics, 28, 883-895, (1992).
[CrossRef]

S. Song, C. Allen, K. Demarest, R. Hui, "A novel nonlinear method for measuring polarization mode dispersion," J. of Lightwave Technology, 17,12, 2530-2533, (1999).

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 (7)

Fig. 1.
Fig. 1.

Higher-order FWM products produced from two channels

Fig. 2.
Fig. 2.

Experiment setup for measuring FWM power DFB—DFB laser, MZM—Mach-Zehnder Modulator, MUX—Multiplexer, EDFA—Erbium-doped fiber-amplifier, DSF—Dispersion-shifted fiber, Att-1, 2---Tunable attenuators, DEMUX—Demultiplexer, OSA—Optical spectrum analyzer,

Fig. 2.
Fig. 2.

Measured and calculated the first-order and second-order FWM power

Fig. 3.
Fig. 3.

Calculated FWM power for the second-order FWM products overlapped with the two channels

Fig. 4.
Fig. 4.

Measured Q as a function of input power to fiber

Fig. 5.
Fig. 5.

Measured OSNR as a function of input power to fiber

Fig. 6.
Fig. 6.

Measured Q as a function of system OSNR

Equations (17)

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

P F 11 = η 11 P 1 2 P 2
P F 12 = η 12 P 2 2 P 1
P F 21 c = η 21 c 1 P 2 2 P F 12 + η 21 c 2 P 1 P 2 P F 11
= η 21 c 1 η 12 P 1 P 2 4 + η 21 c 2 η 11 P 1 3 P 2 2
P F 22 c = η 22 c 1 P 1 2 P F 11 + η 22 c 2 P 1 P 2 P F 12
= η 22 c 1 η 11 P 1 4 P 2 + η 22 c 2 η 12 P 1 2 P 2 3
P F 21 = η 21 1 P 1 2 P F 12 + η 21 2 P 1 P 2 P F 11
= η 21 1 η 12 P 1 3 P 2 2 + η 21 2 η 11 P 1 3 P 2 2
P F 22 = η 22 1 P 2 2 P F 11 + η 22 2 P 1 P 2 P F 12
= η 22 1 η 11 P 1 2 P 2 3 + η 22 2 η 12 P 1 2 P 2 3
P F 31 = η 31 1 P 1 2 P F 22 + η 31 2 P F 11 2 P 2 + η 31 3 P 1 P F 11 P F 12 + η 31 4 P 1 P 2 P F 21
= η 31 1 ( η 22 1 η 11 + η 22 2 η 12 ) P 1 4 P 2 3 + η 31 2 η 11 P 1 4 P 2 3
+ η 31 3 η 11 η 12 P 1 4 P 2 3 + η 31 4 ( η 21 1 η 12 + η 21 2 η 11 ) P 1 4 P 2 3
P F 32 = η 32 1 P 2 2 P F 21 + η 32 2 P F 12 2 P 1 + η 32 3 P 2 P F 11 P F 12 + η 32 4 P 1 P 2 P F 22
= η 32 1 ( η 21 1 η 12 + η 21 2 η 11 ) P 1 3 P 2 4 + η 32 2 η 12 P 1 3 P 2 4
+ η 32 3 η 11 η 12 P 1 3 P 2 4 + η 32 4 ( η 22 1 η 11 + η 22 2 η 12 ) P 1 3 P 2 4
P Fmn = η ¯ mn P 0 2 m + 1 ,

Metrics