Raman amplifier characteristics shows the coupling of signal power and pump power using propagation coupled equation in forward direction using MATLAB environment. The calculation of propagation coupled equation with and without amplified spontaneous emission in a single-mode fiber at wavelength of 850nm.

1. Keisuke Goda, Ata Mahjoubfar, and Bahram Jalali "Demonstration of Raman gain at 800nm in single mode fiber and its potential application to biological sensing and imaging" Applied physics Letter 95,251101(2009).
2. B Boyd, R. W. , Nonlinear Optics, Academic Press, San Diego, CA, 1992.
3. S. P. Singh, R. Gangwar, and N. Singh, "Nonlinear Scattering effect in optical Fibers", progress in electromagnetic research, PIER 74,379-405,2007
4. Mohammad N. Islam, "Raman Amplifiers for Telecommunications 1 : Physical Principles" ,2003
5. Shen, Y. R. and N. Bloembergen, "Theory of Stimulated Brillouin and Raman scattering," Phys. Rev. A, Vol. 137, 1787–1805, 1965.
6. Xueming Liu, Hanyi Zhang, and Yili Guo, "A Novel Method for Raman Amplifier Propagation Equations", IEEE Photonics Technology Letters, Vol. 15, No. 3, March 2003.
7. Charu Kakkar, K. Thyagarajan, "High gain Raman amplifier with inheret gain flattening and dispersion compensation".
8. K. Thyagarajan and Charu Kakkar, "Fiber Design for Broad-Band Gain-Flattened Raman Fiber Amplifier" IEEE Photonics Technology Letters, Vol. 15, No. 12, December 2003.
9. Jake Bromage, "Raman Amplification for Fiber Communication Systems", Journal of Lightwave Technology, Vol. 22, No. 1, January 2004.
10. G. P. Agrawal, "Nonlinear Fiber Optics", 4th ed. (Academic, Burlington, Massachusetts, 2006).
11. B. Min, W. J. Lee, and N. Park, "Efficient formulation of Raman amplifier propagation equation with average power analysis," IEEE Photon. Technol. Letter, Vol. 12, pp. 1486-1488, Nov. 2000.

Signal Power And Pump Power Amplified Spontaneous Emission Propagation Coupled Equation.