Análisis de los efectos dispersivos y no lineales en un canal óptico empleando métodos numéricos
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Published:
2014-06-30
Keywords:
Non Linear Schrödinger Equation, Kerr effect, Numerical method Split–Step Fourier, Raman amplification.
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Abstract
In this document, we present the modeling of an optical channel solving the Non Linear Schrödinger Equation (NLSE). We present two alternatives to solve the NLSE: the analytical solution and the numerical solution with the Split–Step Fourier Transform method. In the simulation, we consider the linear effects, such as the chromatic dispersion, and the nonlinear effects. One of the nonlinear effects is the Kerr effect, responsible for other nonlinear effects such as the Self Phase Modulation (SPM) and Cross Phase Modulation (XPM). The solution methods are employed in this paper to simulate and visualize the propagation effects through the optical fiber. We select an scenario of an optical access network with a single-mode fiber with fiber lengths of 20 and 40 km and data bit rates from 1,25 to 100 Gbps. On the other hand, we also present the nonlinear effects Stimulated Raman Scattering (SRS) and Stimulated Brillouin Scattering (SBS). We present the equations to model the SRS effect. We present simulation results with Raman amplification in a selected scenario.
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Scientific Paper
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References
M. S. Ahsan, M. S. Lee, S. Newaz, and S. Asif, “Migration to the next generation optical access networks using hybrid WDM/TDM-PON,” Journal of Networks, vol. 6, no. 1, pp. 18–25, 2011.
L. D. Truong, T. P. Do, N. T. Nguyen, and H. Q. Duong, “Impact of mesh topology in cost reduction of survivable hybrid WDM-TDM PON networks,” in Proceedings of the Third Symposium on Information and Communication Technology. New York, USA: ACM, 2012, pp. 159–164.
J. Huang, D. Liu, and C. Zeng, “10 Gb/s WDMPON using downstream OFDM and upstream OOK,” Computer & Information Science, vol. 4, no. 2, p. 34, 2011.
C. Chow, C. Yeh, Y. Wu, H. Chen, Y. Lin, J. Sung, Y. Liu, and C. L. Pan, “13 Gbit/s WDM-OFDM PON using RSOA-based colourless onu with seeding light source in local exchange,” Electronics Letters, vol. 47, no. 22, pp. 1235–1236, 2011.
A. Gómez-Martínez, F. Amaya-Fernández, R. Hincapie, J. Sierra, and I. Tafur-Monroy, “Optical access multiservice architecture with support to smart grid,” in Communications and Computing (COLCOM), 2013 IEEE Colombian Conference on. IEEE, 2013, pp. 1–5.
A. Peralta-Sevilla and F. Amaya-Fernández, “Evolución de las redes eléctricas hacia Smart Grid en países de la Región Andina,” Revista Educación en Ingeniería, vol. 8, no. 15, pp. 48–61, 2013.
X. Fu, J. Dai, J. Yu, and E. Yang, “Numerical simulation of multi-channel WDM transmission system in non-linear optical fiber communication system,” in Electrical and Computer Engineering. Canadian Conference on, vol. 3. IEEE, 2004, pp. 1819–1822.
F. Jacobs, J. Shaw, and V. Wongpaibool, “Effects of phase modulation and filtering on NRZ and RZ signals,” in Signals, Systems and Computers. Conference Record of the Thirty-Fifth Asilomar Conference on, vol. 1. IEEE, 2001, pp. 13–17.
R. Coenen and M. Jackson, “The impact of fiber dispersion on CNR in 80-channel wideband FM CATV transmission,” in Nanostructures and Quantum Dots/WDM Components/VCSELs and Microcavaties/RF Photonics for CATV and HFC Systems, 1999 Digest of the LEOS Summer Topical Meetings. IEEE, 1999, pp. IV7–IV8.
A. Ramprasad and M. Meenakshi, “A study on the propagation characteristics of pulses in optical fiber communication systems,” in Signal Propagation on Interconnects, 2006. IEEE Workshop on. IEEE, 2006, pp. 263–266.
M. Hamza and S. Tariq, “Split step fourier method based pulse propagation model for nonlinear fiber optics,” in Electrical Engineering, 2007. ICEE’07. International Conference on. IEEE, 2007, pp. 1–5.
L. Beygi, E. Agrell, P. Johannisson, M. Karlsson, and H. Wymeersch, “A discrete-time model for uncompensated single-channel fiber-optical links,” Communications, IEEE Transactions on, vol. 60, no. 11, pp. 3440–3450, 2012.
I. D. Rukhlenko, M. Premaratne, and G. P. ?Agrawal, “Nonlinear silicon photonics: analytical tools,” Selected Topics in Quantum Electronics, IEEE Journal of, vol. 16, no. 1, pp. 200–215, 2010.
B. Neto, M. Rodrigues, E. Rocha, and P. Andre, “Stability analysis of raman propagation equations,” in Transparent Optical Networks, 2009. ICTON’09. 11th International Conference on. IEEE, 2009, pp. 1–4.
X. Liu, H. Zhang, and Y. Guo, “A novel method for raman amplifier propagation equations,” Photonics Technology Letters, IEEE, vol. 15, no. 3, pp. 392–394, 2003.
C. Xu, X. Liu, L. F. Mollenauer, and X. Wei, “Comparison of return-to-zero differential phaseshift keying and on-off keying in long-haul dispersion managed transmission,” Photonics Technology Letters, IEEE, vol. 15, no. 4, pp. 617–619, 2003.
L. D. Truong, T. P. Do, N. T. Nguyen, and H. Q. Duong, “Impact of mesh topology in cost reduction of survivable hybrid WDM-TDM PON networks,” in Proceedings of the Third Symposium on Information and Communication Technology. New York, USA: ACM, 2012, pp. 159–164.
J. Huang, D. Liu, and C. Zeng, “10 Gb/s WDMPON using downstream OFDM and upstream OOK,” Computer & Information Science, vol. 4, no. 2, p. 34, 2011.
C. Chow, C. Yeh, Y. Wu, H. Chen, Y. Lin, J. Sung, Y. Liu, and C. L. Pan, “13 Gbit/s WDM-OFDM PON using RSOA-based colourless onu with seeding light source in local exchange,” Electronics Letters, vol. 47, no. 22, pp. 1235–1236, 2011.
A. Gómez-Martínez, F. Amaya-Fernández, R. Hincapie, J. Sierra, and I. Tafur-Monroy, “Optical access multiservice architecture with support to smart grid,” in Communications and Computing (COLCOM), 2013 IEEE Colombian Conference on. IEEE, 2013, pp. 1–5.
A. Peralta-Sevilla and F. Amaya-Fernández, “Evolución de las redes eléctricas hacia Smart Grid en países de la Región Andina,” Revista Educación en Ingeniería, vol. 8, no. 15, pp. 48–61, 2013.
X. Fu, J. Dai, J. Yu, and E. Yang, “Numerical simulation of multi-channel WDM transmission system in non-linear optical fiber communication system,” in Electrical and Computer Engineering. Canadian Conference on, vol. 3. IEEE, 2004, pp. 1819–1822.
F. Jacobs, J. Shaw, and V. Wongpaibool, “Effects of phase modulation and filtering on NRZ and RZ signals,” in Signals, Systems and Computers. Conference Record of the Thirty-Fifth Asilomar Conference on, vol. 1. IEEE, 2001, pp. 13–17.
R. Coenen and M. Jackson, “The impact of fiber dispersion on CNR in 80-channel wideband FM CATV transmission,” in Nanostructures and Quantum Dots/WDM Components/VCSELs and Microcavaties/RF Photonics for CATV and HFC Systems, 1999 Digest of the LEOS Summer Topical Meetings. IEEE, 1999, pp. IV7–IV8.
A. Ramprasad and M. Meenakshi, “A study on the propagation characteristics of pulses in optical fiber communication systems,” in Signal Propagation on Interconnects, 2006. IEEE Workshop on. IEEE, 2006, pp. 263–266.
M. Hamza and S. Tariq, “Split step fourier method based pulse propagation model for nonlinear fiber optics,” in Electrical Engineering, 2007. ICEE’07. International Conference on. IEEE, 2007, pp. 1–5.
L. Beygi, E. Agrell, P. Johannisson, M. Karlsson, and H. Wymeersch, “A discrete-time model for uncompensated single-channel fiber-optical links,” Communications, IEEE Transactions on, vol. 60, no. 11, pp. 3440–3450, 2012.
I. D. Rukhlenko, M. Premaratne, and G. P. ?Agrawal, “Nonlinear silicon photonics: analytical tools,” Selected Topics in Quantum Electronics, IEEE Journal of, vol. 16, no. 1, pp. 200–215, 2010.
B. Neto, M. Rodrigues, E. Rocha, and P. Andre, “Stability analysis of raman propagation equations,” in Transparent Optical Networks, 2009. ICTON’09. 11th International Conference on. IEEE, 2009, pp. 1–4.
X. Liu, H. Zhang, and Y. Guo, “A novel method for raman amplifier propagation equations,” Photonics Technology Letters, IEEE, vol. 15, no. 3, pp. 392–394, 2003.
C. Xu, X. Liu, L. F. Mollenauer, and X. Wei, “Comparison of return-to-zero differential phaseshift keying and on-off keying in long-haul dispersion managed transmission,” Photonics Technology Letters, IEEE, vol. 15, no. 4, pp. 617–619, 2003.