I. Introduction
The erbium-doped fiber amplifier (EDFA) is a key component of wavelength-division-multiplexing (WDM) optical transmission systems. Since each span in a transmission system has a different attenuation, the EDFA gain must change according to the optical power level input into the amplifier. In such an EDFA, the population inversion level averaged along the erbium-doped fiber (EDF) is kept constant to maintain a flat gain condition. The average population inversion determines the EDF gain per unit length and EDFs with different lengths have different flattened gain spectra, which are the optimized gain spectra for WDM signal amplification. Therefore, a typical variable gain amplifier consists of two amplifier stages with a variable optical attenuator (VOA) inserted between them [1]–[3]. The total average inversion level of the two amplifier stages is kept constant and variable gain is achieved by changing the VOA attenuation. An amplifier with such a two-stage amplifier configuration suffers from an increased noise figure (NF) in the low gain region, which is caused by the additional attenuation of the VOA. The NF degradation limits the gain range and results in the need for a large number of amplifier inventories with different gain ranges, which increases the cost of optical transmission systems.