Description: novel analytical approximated solution for the
gain of broadband Raman amplifiers with multiple counter-pump
lasers is derived taking into account pump-pump interactions.
Validation against experimental data available in the literature
with two and three pumps is performed. In order to test the limits
of the approximated analytical solution, signal gain is numerically
obtained by simulation for Raman amplifiers built with different
types of fibers and covering bandwidths up to 100 nm.
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