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

Squeezing of classical noise by nondegenerate four-wave mixing in an optical fiber

M. D. Levenson, R. M. Shelby, and S. H. Perlmutter
Opt. Lett. 10(10) 514-516 (1985)

Analytical characterization of four wave mixing effect in direct-detection double-sideband OFDM optical transmission systems

Tiago M. F. Alves and Adolfo V. T. Cartaxo
Opt. Express 22(7) 8598-8616 (2014)

Analytic solutions for the phases of waves coupled by degenerate or nondegenerate four-wave mixing

Michel E. Marhic
J. Opt. Soc. Am. B 30(1) 62-70 (2013)

Analysis of Four-Wave Mixing Suppression in Fiber-Optic OFDM Transmission Systems With an Optical Phase Conjugation Module

Vladimir Pechenkin and Ivan J. Fair
J. Opt. Commun. Netw. 2(9) 701-710 (2010)

Distributed optical-fiber sensing by four-photon mixing pulse walk-off

J. Zhang, V. A. Handerek, and A. J. Rogers
Opt. Lett. 20(7) 794-796 (1995)