Theory of stimulated Raman scattering cancellation in wavelength-division-multiplexed systems via spectral inversion

Grandpierre, A.G.; Christodoulides, D.N.; Toulouse, J.

doi:10.1109/68.789714

Cited by 30 publications

(5 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Complete cancelation of Raman crosstalk for a two-channel system requires spectral inversion at mid-span if GVD effects are negligible or compensated [44]. Equation (7.2.3) can be used to show that the spectralinversion technique should work for an arbitrary number of channels [46]. The location of spectral inversion is not necessarily in the middle of the fiber span but changes depending on gain-loss variations.…”

Section: Stimulated Raman Scatteringmentioning

confidence: 99%

Fiber-Optic Communications

Palais¹

2008

Applications of Nonlinear Fiber Optics

View full text Add to dashboard Cite

Soon after the nonlinear effects in optical fibers were observed experimentally, it was realized that they would limit the performance of fiber-optic communication systems [1]. However, nonlinear effects were found to be mostly irrelevant for system design in the 1980s because both the bit rate and link lengths were limited by fiber losses and group-velocity dispersion (GVD). The situation changed dramatically during the 1990s with the advent of optical amplification, dispersion management, and wavelength-division multiplexing (WDM). These advances increased link lengths to beyond 1000 km and single-channel bit rates to beyond 10 Gb/s. As a result, the nonlinear effects in optical fibers became of paramount concern for optimizing a lightwave system [2]- [5]. This chapter focuses on how the nonlinear effects influence the design of WDM lightwave systems. The loss-and dispersion-management techniques are discussed first in Section 7.1 as an introduction to system-related issues. Section 7.2 is then devoted to the impact of five major nonlinear effects stimulated Brillouin and Raman scattering (SBS and SRS), self-and cross-phase modulation (SPM and XPM), and four-wave mixing (FWM). Section 7.3 focuses on optical solitons that employ SPM to advantage and can be used for designing WDM systems. Section 7.4 describes intrachannel nonlinear effects that become important for high-speed channels in pseudo-linear lightwave systems.

show abstract

Section: Stimulated Raman Scatteringmentioning

confidence: 99%

Fiber-Optic Communications

Palais¹

2008

Applications of Nonlinear Fiber Optics

View full text Add to dashboard Cite

show abstract

“…It is remarkable that expression (5) giving Q k as a sum of random variables can be simplified further. Note…”

Section: Appendix a Power Distributionmentioning

confidence: 99%

“…This assumption corresponds to a situation where the dispersion is high enough. (See [4,5]. See also [6] for interesting preliminary results.…”

Section: Introductionmentioning

confidence: 97%

On statistical effects on stimulated Raman cross-talk

Villarroel¹,

Grandpierre²

2005

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

We provide a statistical model that accounts for the effects of dispersion on stimulated Raman scattering cross-talk in wavelength division multiplexed systems with random initial binary data. When either the input power is not too large or the number of channels involved is moderate or the transmission distance is small, channels are found to follow a Binomial probability distribution that is the same for channels symmetric with respect to the middle one. This distribution can be approximated by a Gaussian when the number of channels is not too small. Our model works for any fibre dispersion or number of channels.

show abstract

“…It is known before that the nonlinearity of one fiber line may be compensated by that of another with the help of optical phase conjugation (OPC). However, all previous proposals and demonstrations [13][14][15][16][17] work partially in fighting the fiber nonlinearity. They either are specialized to only one aspect of the nonlinear effects, or fail to work in the presence of dispersion slope or higher order dispersion effects.…”

Section: Applications: Nonlinearity Compensation Using Opcmentioning

confidence: 99%

Fundamental equations of nonlinear fiber optics

Wei

Plant

2004

Optical Modeling and Performance Predictions

View full text Add to dashboard Cite

A set of nonlinear differential equations are derived from the first principles, namely the Maxwell's equations and the material responses to electromagnetic excitations. The derivation retains the mathematical exactitude down to details. Still in compact and convenient forms, the final equations include the effect of group-velocity dispersion down to an arbitrary order, and take into account the frequency variations of the optical loss as well as the transverse modal function. Also established is a new formulation of multi-component nonlinear differential equations, which is especially suitable for the study of wide-band wavelength-division multiplexed systems of optical communications. The formulations are applied to discuss the problem of compensating the optical nonlinearity of fiber transmission lines using optical phase conjugation. Two system configurations are identified suitable for nonlinearity compensation. One setup is mirror-symmetric and the other translationally symmetric about the optical phase conjugator, both being in a scaled sense.

show abstract

Theory of stimulated Raman scattering cancellation in wavelength-division-multiplexed systems via spectral inversion

Cited by 30 publications

References 9 publications

Fiber-Optic Communications

Fiber-Optic Communications

On statistical effects on stimulated Raman cross-talk

Fundamental equations of nonlinear fiber optics

Contact Info

Product

Resources

About