Abstract

A novel approach is proposed for split-step time-domain simulation of pulse propagation in optical fiber. In this approach, a Fourier series expansion method is introduced for time-domain digital filter extraction from any given fiber transfer function. With such extracted filter coefficients and a double Tukey window function, the filter length can be optimized for a given error tolerance. This method is validated by comparing our simulation results with that obtained from the well-known split-step frequency-domain method. Through several simulation examples, we find that this solution technique is much more efficient than other existing time-domain approaches—as much as 92% of the computation time can be saved. It even outperforms the well-known split-step frequency-domain fast Fourier transform method in terms of the computation efficiency, under the condition that the input signal samples are huge—a situation we often meet in dealing with wavelength division multiplexing systems. Moreover, we find that the truncation effect at the computation window edge introduced by the time-domain algorithm is less severe than the aliasing effect associated with the frequency-domain method, not to mention that we can eliminate the truncation error by using a sliding window, only at a small cost on computation time.

© 2010 IEEE

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References

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  1. G. P. Agrawal, Nonlinear Fiber Opitcs (Academic, 2001).
  2. R. H. Hardin, F. D. Tappert, "Application of the split step Fourier method to the numerical solution of nonlinear and variable coefficient wave equations," SIAM Rev. Chronicle 15, 423 (1973).
  3. O. V. Sinkin, R. Holzlohner, J. Zweck, C. R. Menyuk, "Optimization of the split-step Fourier method in modeling optical fiber communication systems," J. Lightw. Technol. 21, 61-68 (2003).
  4. A. Carena, V. Curri, R. Gaudino, P. Poggiolini, S. Benedetto, "A time-domain optical transmission system simulation package accounting for nonlinear and polarization-related effects in fiber," IEEE J. Sel. Areas Commun. 15, 751-764 (1997).
  5. A. Lowery, O. Lenzmann, I. Koltchanov, R. Moosburger, R. Freund, A. Richter, S. Georgi, D. Breuer, H. Hamster, "Multiple signal representation simulation of photonic devices, systems, and networks," IEEE J. Sel. Topics Quantum Electron. 6, 282-296 (2000).
  6. X. Li, X. Chen, M. Qasmi, "A broadband digital filtering approach for time-domain simulation of pulse propagation in optical fiber," J. Lightw. Technol. 23, 864-875 (2005).
  7. F. J. Harris, "On the use of windows for harmonic analysis with the discrete Fourier transform," Proc. IEEE 66, 51-83 (1978).
  8. T. Kremp, W. Freude, "Fast split-step wavelet collocation method for WDM system parameter optimization," J. Lightw. Technol. 23, 1491-1502 (2005).
  9. S. G. Johnson, M. Frigo, "A modified split-radix FFT with fewer arithmetic operations," IEEE Trans. Signal Process. 55, 111-119 (2007).
  10. G. P. Agrawal, Fiber-Opitc Communication Systems (Wiley, 2002).
  11. W. Press, S. Teukolsky, W. Vetterling, B. Flannery, Numerical Recipes (Cambridge University Press, 1992).

2007 (1)

S. G. Johnson, M. Frigo, "A modified split-radix FFT with fewer arithmetic operations," IEEE Trans. Signal Process. 55, 111-119 (2007).

2005 (2)

T. Kremp, W. Freude, "Fast split-step wavelet collocation method for WDM system parameter optimization," J. Lightw. Technol. 23, 1491-1502 (2005).

X. Li, X. Chen, M. Qasmi, "A broadband digital filtering approach for time-domain simulation of pulse propagation in optical fiber," J. Lightw. Technol. 23, 864-875 (2005).

2003 (1)

O. V. Sinkin, R. Holzlohner, J. Zweck, C. R. Menyuk, "Optimization of the split-step Fourier method in modeling optical fiber communication systems," J. Lightw. Technol. 21, 61-68 (2003).

2000 (1)

A. Lowery, O. Lenzmann, I. Koltchanov, R. Moosburger, R. Freund, A. Richter, S. Georgi, D. Breuer, H. Hamster, "Multiple signal representation simulation of photonic devices, systems, and networks," IEEE J. Sel. Topics Quantum Electron. 6, 282-296 (2000).

1997 (1)

A. Carena, V. Curri, R. Gaudino, P. Poggiolini, S. Benedetto, "A time-domain optical transmission system simulation package accounting for nonlinear and polarization-related effects in fiber," IEEE J. Sel. Areas Commun. 15, 751-764 (1997).

1978 (1)

F. J. Harris, "On the use of windows for harmonic analysis with the discrete Fourier transform," Proc. IEEE 66, 51-83 (1978).

1973 (1)

R. H. Hardin, F. D. Tappert, "Application of the split step Fourier method to the numerical solution of nonlinear and variable coefficient wave equations," SIAM Rev. Chronicle 15, 423 (1973).

IEEE J. Sel. Areas Commun. (1)

A. Carena, V. Curri, R. Gaudino, P. Poggiolini, S. Benedetto, "A time-domain optical transmission system simulation package accounting for nonlinear and polarization-related effects in fiber," IEEE J. Sel. Areas Commun. 15, 751-764 (1997).

IEEE J. Sel. Topics Quantum Electron. (1)

A. Lowery, O. Lenzmann, I. Koltchanov, R. Moosburger, R. Freund, A. Richter, S. Georgi, D. Breuer, H. Hamster, "Multiple signal representation simulation of photonic devices, systems, and networks," IEEE J. Sel. Topics Quantum Electron. 6, 282-296 (2000).

IEEE Trans. Signal Process. (1)

S. G. Johnson, M. Frigo, "A modified split-radix FFT with fewer arithmetic operations," IEEE Trans. Signal Process. 55, 111-119 (2007).

J. Lightw. Technol. (3)

X. Li, X. Chen, M. Qasmi, "A broadband digital filtering approach for time-domain simulation of pulse propagation in optical fiber," J. Lightw. Technol. 23, 864-875 (2005).

O. V. Sinkin, R. Holzlohner, J. Zweck, C. R. Menyuk, "Optimization of the split-step Fourier method in modeling optical fiber communication systems," J. Lightw. Technol. 21, 61-68 (2003).

T. Kremp, W. Freude, "Fast split-step wavelet collocation method for WDM system parameter optimization," J. Lightw. Technol. 23, 1491-1502 (2005).

Proc. IEEE (1)

F. J. Harris, "On the use of windows for harmonic analysis with the discrete Fourier transform," Proc. IEEE 66, 51-83 (1978).

SIAM Rev. Chronicle (1)

R. H. Hardin, F. D. Tappert, "Application of the split step Fourier method to the numerical solution of nonlinear and variable coefficient wave equations," SIAM Rev. Chronicle 15, 423 (1973).

Other (3)

G. P. Agrawal, Nonlinear Fiber Opitcs (Academic, 2001).

G. P. Agrawal, Fiber-Opitc Communication Systems (Wiley, 2002).

W. Press, S. Teukolsky, W. Vetterling, B. Flannery, Numerical Recipes (Cambridge University Press, 1992).

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