Compensation of pulse-shaping due to saturation in fiber amplifiers

We derive an expression describing pre-compensation of pulse-distortion due to saturation effects in short pulse laseramplifiers. The analytical solution determines the optimum input pulse required to obtain any arbitrary target pulse at the output of the saturated laser-amplifier. The relation is experimentally verified using an all-fiber amplifier chain that is seeded by a directly modulated laser-diode.