[1] [1] A. S. Siddiqui, G. G. Vienne. The effect of pump and signal laser fluctuations on the output signal from Raman and Brillouin optical fiber amplifier [J]. J. Opt. Comm., 1992, 13(1):33～36

[2] [2] F. Forghieri, R. W. Tkach, A. R. Chraplyvy. Bandwidth of cross talk in Raman amplifiers [C]. in OFC'94, San Jose, CA, FC6

[3] [3] P. B. Hansen, L. Eskildsen, A. J. Stentz et al.. Rayleigh scattering limitations in distributed Raman pre-amplifiers [J]. IEEE Photon. Technol. Lett., 1998, 10(1):159～161

[4] [4] M. Nissov, K. Rottwitt, H. D. Kidorf et al.. Rayleigh crosstalk in long cascades of distributed unsaturated Raman amplifiers [J]. Electron. Lett., 1999, 35(12):997～998

[5] [5] P. Wan, J. Conradi. Double Rayleigh backscattering in long-haul transmission systems employing distributed and lumped fibre amplifiers [J]. Electron. Lett., 1995, 31(5):383～384

[6] [6] S. R. Chinn. Temporal observation and diagnostic use of double Rayleigh scattering in distributed Raman amplifier [J]. IEEE Photon. Technol. Lett., 1999, 11(12):1632～1634

[7] [7] S. A. E. Lewis, S. V. Chernikov, J. R. Taylor. Charactization of double Rayleigh scatter noise in Raman amplifiers [J]. IEEE Photon. Technol. Lett., 2000, 12(5):528～530

[10] [10] Xiupu Zhang, Alan Mitchell. Simple black box model for erbium-doped fiber amplifiers [J]. IEEE Photon. Technol. Lett., 2000, 12(1):28～30

[11] [11] W. Magnus, F. Oberhettinger, R. P. Soni. Formulas and Theorems for the Special Functions of Mathematical Physics [M]. Third Edition, New York: Springer-Verlag Berlin Heidelberg, 1966