Impulsive pump depletion in saturated Raman amplifiers

Transient gain dynamics in saturated Raman amplifiers

“…That this is indeed exactly so, one can convince himself by recalling that in the impulsive-pump depletion model, Γ ss was found to be essentially independent of z [12], hence relation (13) gives…”

“…We now use (12) to determine the time evolution of x(t s ). Once x(t s ) is known, the time evolution of all the output signals is immediately obtained through (11).…”

“…Once x(t s ) is known, the time evolution of all the output signals is immediately obtained through (11). We use (10) in (4), and plug the result in (12) to get…”

“…Such equation should also be compared to a similar equation for the depletion Γ at steady-state that the authors have obtained under the impulsive pumpdepletion approximation [12],…”

“…., N, which are used as a simple approximate way to account for the power tilt in the signals' bandwidth due to direct signal-to-signal Raman crosstalk, which can be significant in distributed Raman amplifiers and takes place at the input, before amplification, as already discussed at the end of Section 2. Such method has already been successfully applied to saturated Raman amplifiers at steady state in [12].…”