Abstract

A finite-band noise model for degenerate four-wave mixing (FWM) including channel walk-off in return-to-zero on–off-keying (RZ-OOK) transmission is extended to include nondegenerate FWM (ND-FWM). The model is verified by comparing the results for the noise variance for each type of FWM to split-step-Fourier (SSF) simulations for a 10-Gb/s single span link, and excellent agreement is obtained. A physical interpretation of the walk-off effect on the FWM noise is formulated in terms of intracollision and intercollision interference of the corresponding generated FWM waves. The author shows that the walk-off effect modifies the FWM noise power spectral density only at high frequencies by producing distinct peaks at locations determined by the channel spacing. In principle, the walk-off effect significantly increases the noise variance for both types of FWM before any filtering at the end of fiber. Upon demultiplexing, it is found that the walk-off effect is significant and observable for the degenerate FWM case but is no longer significant for the ND-FWM case. When a sub-bit-rate electrical filter is used in the receiver, the walk-off effect becomes insignificant for all types of FWM. They systematically conclude that the walk-off effect is unimportant for FWM in typical RZ-OOK systems when tight electrical filtering is used. They also illustrate the accuracy of the model for the more general case where more than one FWM tone is coincident on a probe channel by comparing the analytic model to SSF simulations for a five-channel example.

© 2006 IEEE

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2005 (1)

S. Kumar, "Analysis of degenerate four-wave-mixing noise in return-to-zero optical transmission systems including walk-off," J. Lightw. Technol. 23, 310-320 (2005).

1996 (1)

K. Inoue, "Influence of fiber four-wave mixing in multichannel return-to-zero (RZ) signal transmissions," IEEE Photon. Technol. Lett. 8, 293-295 (1996).

1995 (1)

R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, R. M. Derosier, "4-photon mixing and high-speed WDM systems," J. Lightw. Technol. 13, 841-849 (1995).

1994 (1)

K. Inoue, K. Nakanishi, K. Oda, H. Toba, "Crosstalk and power penalty due to fiber 4-wave-mixing in multichannel transmissions," J. Lightw. Technol. 12, 1423-1439 (1994).

1992 (1)

1989 (1)

1987 (1)

N. Shibata, R. P. Braun, R. G. Waarts, "Phase-mismatch dependence of efficiency of wave generation through four-wave mixing in a single-mode optical fiber," IEEE J. Quantum Electron. QE-23, 1205-1210 (1987).

1978 (1)

K. O. Hill, D. C. Johnson, B. S. Kawasaki, R. I. Macdonald, "CW 3-wave mixing in single-mode optical fibers," J. Appl. Phys. 49, 5098-5106 (1978).

IEEE J. Quantum Electron. (1)

N. Shibata, R. P. Braun, R. G. Waarts, "Phase-mismatch dependence of efficiency of wave generation through four-wave mixing in a single-mode optical fiber," IEEE J. Quantum Electron. QE-23, 1205-1210 (1987).

IEEE Photon. Technol. Lett. (1)

K. Inoue, "Influence of fiber four-wave mixing in multichannel return-to-zero (RZ) signal transmissions," IEEE Photon. Technol. Lett. 8, 293-295 (1996).

J. Appl. Phys. (1)

K. O. Hill, D. C. Johnson, B. S. Kawasaki, R. I. Macdonald, "CW 3-wave mixing in single-mode optical fibers," J. Appl. Phys. 49, 5098-5106 (1978).

J. Lightw. Technol. (3)

R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, R. M. Derosier, "4-photon mixing and high-speed WDM systems," J. Lightw. Technol. 13, 841-849 (1995).

K. Inoue, K. Nakanishi, K. Oda, H. Toba, "Crosstalk and power penalty due to fiber 4-wave-mixing in multichannel transmissions," J. Lightw. Technol. 12, 1423-1439 (1994).

S. Kumar, "Analysis of degenerate four-wave-mixing noise in return-to-zero optical transmission systems including walk-off," J. Lightw. Technol. 23, 310-320 (2005).

Opt. Lett. (2)

Other (4)

L. W. CouchII, Digital and Analog Communication Systems (Prentice-Hall, 1997).

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 1995).

S. Burtsev, J.-K. Rhee, J. E. Hurley, S. Ten, "Four-wave mixing as a finite bandwidth noise: Theory and experimental verification," European Conf. Optical Communication (1999).

S. Kumar, G. G. Luther, J. Hurley, "Finite-band noise theory and experiment for four-wave mixing in RZ transmission systems," Proc. OFC (2001) pp. WW6-1-WW6-4.

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