Recovery of solitons with nonlinear amplifying loop mirrors

We study the use of nonlinear amplifying loop mirrors to recover soliton pulses nonadiabatically deformed by losses. We approach this problem as a mapping problem of input pulse to output pulse, for segments of f iber followed by a combination of linear and nonlinear amplif ication. For a wide range of amplif ier spacings, we find numerically that a single optimal input pulse of soliton shape exists for each amplif ier spacing, which is well recovered at output. The recovered output pulses contain only, 3% continuous radiation.