Methods of Step-Size Distribution Optimization Used in S-SSFM Simulations of WDM Systems
DOI:
https://doi.org/10.26636/jtit.2009.1.913Keywords:
local error method, logarithmic step, simulation, split step Fourier method, WDM systemsAbstract
Brief review of methods used for simulation of signal propagation in wavelength division multiplexed (WDM)links is presented. We propose two novel methods of step size distribution optimization used to improve symmetrized split step Fourier method (S-SSFM) numerical efficiency: presimulated local error S-SSFM (PsLE S-SSFM) and modified logarithmic (ML S-SSFM). The PsLE S-SSFM contains two stages: in the initial stage step-size distribution optimization is carried out by combining local error method and presimulation with signal spectrum averaging; in the second stage conventional SSFM is used by applying optimal step-size distribution obtained in the initial stage. The ML S-SSFMis generalization of logarithmic method proposed to suppress spurious FWM tones, in which a slope of logarithmic step-size distribution is optimized. Overall time savings exceed 50%, depending of a simulated system scenario.
Downloads
References
[1] G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. San Diego: Academic Press, 2001.
View in Google Scholar
[2] X. Liu and B. Lee, „A fast method for nonlinear Schrödinger equation”, IEEE Photon. Technol. Lett., vol. 15, no. 11, pp. 1549-1551, 2003.
View in Google Scholar
[3] T. Kremp, „Split-step wavelet collocation methods for linear and nonlinear optical wave propagation”, Ph.D. thesis, High-Frequency and Quantum Electronics Laboratory, University of Karlsruhe. Cuvillier Verlag Göttingen, 2002.
View in Google Scholar
[4] A. A. Rieznik, T. Tolisano, F. A. Callegari, D. F. Grosz, and H. L. Fragnito, „Uncertainty relation for the optimization of optical-fiber transmission systems simulations”, Opt. Expr., vol. 13, no. 10, pp. 3822-3834, 2005.
View in Google Scholar
[5] O. V. Sinkin, R. Holzlöhner, J. Zweck, and C. R. Menyuk, „Optimization of the split-step Fourier method in modeling optical-fiber communications systems”, J. Lightw. Technol., vol. 21, no. 1, pp. 61-68, 2003.
View in Google Scholar
[6] C. J. Rasmussen, „Simple and fast method for step size determination in computations of signal propagation through nonlinear fibres”, in Proc. OFC 2001 Conf., Anaheim, USA, 2001, paper WDD29-1.
View in Google Scholar
[7] G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, „Suppression of spurious tones induced by the split-step method in fiber systems simulation”, IEEE Photon. Technol. Lett., vol. 12, no. 5, pp. 489-491, 2000.
View in Google Scholar
[8] T. Yu, W. M. Reimer, V. S. Grigoryan, and C. R. Menyuk, „A mean field approach for simulating wavelength-division multiplexed systems”, IEEE Photon. Technol. Lett., vol. 12, no. 4, pp. 443-445, 2000.
View in Google Scholar
[9] J. Leibrich and W. Rosenkranz, „Efficient numerical simulation of multichannel WDM transmission systems limited by XPM”, IEEE Photon. Technol. Lett., vol. 15, no. 3, pp. 395-397, 2003.
View in Google Scholar
[10] G. J. Pendock and W. Shieh, „Fast simulation of WDM transmission in fiber”, IEEE Photon. Technol. Lett., vol. 18, no. 15, pp. 1639-1641, 2006.
View in Google Scholar
[11] M. Jaworski and M. Chochol, „Split-step-Fourier-method in modeling wavelength-division-multiplexed links”, in Proc. ICTON 2007 Conf., Rome, Italy, July 2007, vol. 4, paper Mo.P.13, pp. 47-50.
View in Google Scholar
[12] M. Jaworski and M. Marciniak, „Pre-simulated local-error-method for modelling of light propagation in wavelength-division-multiplexed links”, in Proc. ICTON-MW 2007 Conf., Sousse, Tunisia, Dec. 2007, paper Fr4B.4, pp. 1-4.
View in Google Scholar
Downloads
Submitted
Published
Issue
Section
License
Copyright (c) 2023 Journal of Telecommunications and Information Technology
This work is licensed under a Creative Commons Attribution 4.0 International License.
