El-Badawy, E., Mohammed, A., Saad, A., Metawe’e, M. (2008). Rigorous Analysis for Maximizing of Repeater Spacing using Multi-Pumping Raman Amplifier of Wide Gain. Menoufia Journal of Electronic Engineering Research, 18(2), 145-158. doi: 10.21608/mjeer.2008.65230
El-Sayed El-Badawy; Abd-El-Naser Mohammed; Abd-El-Fattah Saad; Mohamed Metawe’e. "Rigorous Analysis for Maximizing of Repeater Spacing using Multi-Pumping Raman Amplifier of Wide Gain". Menoufia Journal of Electronic Engineering Research, 18, 2, 2008, 145-158. doi: 10.21608/mjeer.2008.65230
El-Badawy, E., Mohammed, A., Saad, A., Metawe’e, M. (2008). 'Rigorous Analysis for Maximizing of Repeater Spacing using Multi-Pumping Raman Amplifier of Wide Gain', Menoufia Journal of Electronic Engineering Research, 18(2), pp. 145-158. doi: 10.21608/mjeer.2008.65230
El-Badawy, E., Mohammed, A., Saad, A., Metawe’e, M. Rigorous Analysis for Maximizing of Repeater Spacing using Multi-Pumping Raman Amplifier of Wide Gain. Menoufia Journal of Electronic Engineering Research, 2008; 18(2): 145-158. doi: 10.21608/mjeer.2008.65230
Rigorous Analysis for Maximizing of Repeater Spacing using Multi-Pumping Raman Amplifier of Wide Gain
2Department of Electronic and Electrical Communication Engineering, Faculty of Electronics Engineering, Menouf, 32951, EGYPT
Abstract
The maximization of repeater spacing has been investigated where multi-pumping Raman amplifier has been employed with equal pumping powers and equal spacing of pumping wavelength. The problem is processed; employing two coupled nonlinear different equations of first order taking into account both pump-pump interactions and signal-signal interactions along the fiber. These two equations are processed rigorously using accurate software based on Runge-Kutta technique of fourth order. Wide gain of the amplifier is considered where two sets of pumps NR {5,10} are investigated. The gain coefficient is cast under polynomial forms. The pumping wavelength lR is over the range 1.40 £ lR, mm £ 1.44 and the channel wavelength ls is over the range 1.45 £ ls, mm £ 1.65. Two multiplexing techniques are processed in long-haul transmission cables where number of channels is up to 10000 in ultra-wide wavelength division multiplexing (UW-WDM) with number of links up to 480. The problem is investigated over wide ranges of affecting sets of parameters. The present investigation has clarified vital causes that affect both Raman gain and the repeater spacing up to 360 km. The investigation of the flatness of the gain constant has indicated that the Raman pumps should be distributed over wide range of pumping wavelength before the starting of the channels wavelength range.
References
[1] A. N. Pilipetskii, "High-Capacity Undersea Long-Haul Systems," J. Lightwave Technol., Vol.12, No.4, pp. 484-496, July/August 2006.
[2] A. N. Pilipetskii and E. A. Golovchenko "Performance Fluctuations in Submarine WDM Systems," J. Lightwave Technol., Vol.12, No.11, pp. 4208-4214, nov. 2006.
[3] T. Ohara, H. Takara, T. Yamamoto, H. Masuda, T. Morioka, M. Abe, and H. Takahashi, "Over-1000-Channel Ultradense WDM Transmission With Supercontinuum Multicarrier Source," J. Lightwave Technol., Vol.24, No.6, pp. 2311-2317, June 2006.
[4] E. M. Dianov, "Advanced in Raman Fibers", J. Lightwave Technol., Vol. 20, No. 8, pp. 1457-1462, Aug. 2002.
[5] M. N. Islam, “Raman Amplifiers for Telecommunications,” IEEE J. Selected Topics in Quantum Elect., Vol. 8, pp.548-559, May/June 2002.
[6] S.K. Kim, S.H. Chang, J.S. Han, M.J. Chu, and J.H.Lee "Distributed Fiber Raman Amplifiers with Localized Loss", J. Lightwave Technol., Vol. 21, No. 5, pp. 1286-1293, May. 2003.
[7] X. Liu and B. Lee ," Optimal Design of Fiber Raman Amplifier Based on Hybrid Genetic Algorithm ", IEEE Photonic Lett. Technol., Vol.16, No.2, pp.428-430, Feb., 2004.
[8] J. Chen and P. R. Xiaorning , " Designing Gain Spectrum of Multi-pump Raman Amplifier," Email Chenjian 97 @mails.tsinghua.edu.cn
[9] J. Hu, B.S. Marks, and C.R. Menynk, "Flat-Gain Fiber Raman Amplifiers Using Equally Spaced Pumps", J. Lightwave Technol., Vol.22, No.6, pp.1519-1522, June, 2004.
[10] J. C. Baoutealler, L. Leng and C. Headley., "Pump-Pump Four Wave Mixing in Distributed Raman Amplified Systems," J. Lightwave Technol., Vol.22, No.3, pp.723-731, March, 2004.
[11] T. Nakashima, S. Seikai, N. Nakazawa, and Y. Negishi, “Theoretical Limit of Repeater Spacing in Optical Transmission Line Utilizing Raman Amplification,” J. Lightwave Technol., Vol. LT-4, No. 8, pp. 1267-1272, Aug.. 1986
[12] E. A. El-Badawy, Abd El-Naser A. Mohammed, A. A. Saad, and M. M. A. Eid, "Maximization of Repeater Spacing Using Multi-Pumping Raman Amplifier of Wide Gain,"Proc. The 10th World Multi-Conference on Systemics, Cybernetics and Informatics (WMSCI), Vol.V, July 16-19, Orlando, Florida, USA, 2006.
[13] V. N. Vedamurlhy and N. Ch. Lyengar, Numerical Methods, Vik as Publishing House, New Delhi, INDIA, 1998.
W. H. KNox, “The Future of Wavelength Division Multiplexing”, OPN Trends, Vol
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