We have developed the design procedure of multi-wavelength pumped Raman amp
lifiers, introducing superposition rule and account for pump-to-pump energy
transfer. It is summarized with respect to the pumping wavelength and powe
r allocation. The comparisons between simulated and experimental results ar
e presented. Section 2 reviews the fundamentals of Raman amplifier. In this
section, Raman gain spectra measured for different fibers are presented an
d the difference among the spectra is discussed. Section 3 describes the wa
y to determine the pumping wavelength allocation by introducing superpositi
on method. By means of this design method, some optimized design examples a
re presented, where the peak levels of Raman gain are fixed to 10 dB for th
e wavelength range from 1525 nm to 1615 nm (C- plus L-band) in all cases. F
rom these results, it is confirmed that better gain flatness can be obtaine
d by using the larger number of pumps. Section 3 explains how the pump-to-p
ump energy transfer changes the gain profile by experimental and simulated
results. In this section, simulation modeling to perform precise numerical
simulation is also presented. From the above discussion, the design procedu
re can be simplified: (1) one determines pump wavelengths with which a desi
red composite Raman gain can be obtained by adding in logarithmic scale ind
ividual Raman gain spectra shifted by the respective wavelength differences
with adequate weight factors. And (2), one predicts how much power should
be launched in order to realize the weight factors through precise numerica
l simulations. Section 5 verifies the superposition rule and the effect of
pump-to-pump energy transfer by comparing a measured Raman gain with a supe
rposed one. The agreement of two gain profiles shows that the multi-wavelen
gth pumped Raman gain profile contains only the individual gain profiles cr
eated by the respective pump wavelengths. Section 6 concludes this paper.