Gain saturation in erbium-doped fiber amplifiers (EDFA) occurs due to the limitations of population inversion at high input power levels, leading to a decrease in gain. As input power increases, the number of excited erbium ions becomes insufficient to maintain the gain, resulting in saturation. In the saturated gain region, the gain is lower than in the unsaturated (small signal) gain region because the system cannot effectively amplify the signal due to depletion of the excited state. Understanding the physical mechanisms behind this saturation, including the dynamics of population inversion, is crucial for optimizing EDFA performance. This discussion highlights the need for deeper insights into the operational limits of EDFAs at high power levels.