Suppression of spurious tones induced by the split-step method in fiber systems simulation

Bosco, Gabriella; Carena, Andrea; Curri, Vittorio; Gaudino, Roberto; Poggiolini, Pierluigi; Benedetto, S.

doi:10.1109/68.841262

Cited by 101 publications

(58 citation statements)

References 5 publications

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“…This method was designed with soliton propagation in mind. The second, the logarithmic step-size method, is designed to efficiently suppress spurious FWM, by employing a logarithmic distribution of the step sizes [6]. In the third method, the walk-off method, the step size is chosen to be inversely proportional to the product of the absolute value of dispersion and the spectral bandwidth of the signal.…”

mentioning

confidence: 99%

Optimization of the split-step fourier method in modeling optical-fiber communications systems

Sinkin

Holzlöhner

Zweck

et al. 2003

J. Lightwave Technol.

487

253

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Abstract-We studied the efficiency of different implementations of the split-step Fourier method for solving the nonlinear Schrödinger equation that employ different step-size selection criteria. We compared the performance of the different implementations for a variety of pulse formats and systems, including higher order solitons, collisions of soliton pulses, a single-channel periodically stationary dispersion-managed soliton system, and chirped return to zero systems with single and multiple channels. We introduce a globally third-order accurate split-step scheme, in which a bound on the local error is used to select the step size. In many cases, this method is the most efficient when compared with commonly used step-size selection criteria, and it is robust for a wide range of systems providing a system-independent rule for choosing the step sizes. We find that a step-size selection method based on limiting the nonlinear phase rotation of each step is not efficient for many optical-fiber transmission systems, although it works well for solitons. We also tested a method that uses a logarithmic step-size distribution to bound the amount of spurious four-wave mixing. This method is as efficient as other second-order schemes in the single-channel dispersion-managed soliton system, while it is not efficient in other cases including multichannel simulations. We find that in most cases, the simple approach in which the step size is held constant is the least efficient of all the methods. Finally, we implemented a method in which the step size is inversely proportional to the largest group velocity difference between channels. This scheme performs best in multichannel optical communications systems for the values of accuracy typically required in most transmission simulations.

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mentioning

confidence: 99%

Optimization of the split-step fourier method in modeling optical-fiber communications systems

Sinkin

Holzlöhner

Zweck

et al. 2003

J. Lightwave Technol.

487

253

View full text Add to dashboard Cite

show abstract

“…Numerical solution of NLSE using SSFM with constant step-size may cause the spurious spectral peaks due to fictitious four wave mixing (FWM). To avoid this numerical artifact and estimating the non-linear phase shift with high accuracy in fewer computations by SSFM, (Bosco et al, 2000;Sinkin et al, 2003) suggest a logarithmic step-size distribution for forward propagation simulations as given in Eq. 16.…”

Section: Logarithmic Split-step Fourier Methods (L-ssfm)mentioning

confidence: 99%

Digital Backward Propagation: A Technique to Compensate Fiber Dispersion and Non-Linear Impairments

Asif¹,

Lin²,

Schmauß³

2011

Applications of Digital Signal Processing

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“…Repeating these two steps, the optical pulse propagation within the optical fibre can be calculated numerically. It is known that the sprit-step method generates spurious tones in the frequency domain if the step length is set uniform (Bosco et al, 2000). Therefore, the fibre step length for the split-step calculation was set to nonuniform, and it was expanded exponentially from the initial length of 100 metres.…”

Section: Split-step Fourier Calculationmentioning

confidence: 99%

Numerical Simulations of the Long-Haul RZ-DPSK Optical Fibre Transmission System

Taga¹

2011

Numerical Simulations of Physical and Engineering Processes

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Suppression of spurious tones induced by the split-step method in fiber systems simulation

Cited by 101 publications

References 5 publications

Optimization of the split-step fourier method in modeling optical-fiber communications systems

Optimization of the split-step fourier method in modeling optical-fiber communications systems

Digital Backward Propagation: A Technique to Compensate Fiber Dispersion and Non-Linear Impairments

Numerical Simulations of the Long-Haul RZ-DPSK Optical Fibre Transmission System

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