4.3 Erbium-doped fiber amplifier
A glass fiber has been doped with Er3+ ions with a doping concentration of 8 x 10^18 Er3+ ions cm^-3. The emission and absorption cross-sections of this EDFA at a wavelength of 1550 nm are found to be 3 x 10^-21 cm^2 and 2 x 10^-21 cm^2, respectively. The Er3+ doped fiber is pumped from a 1480 nm laser diode. Obtain the maximum gain coefficient in terms of dB m of this medium at 1550 nm. You may assume that the maximum gain coefficient is obtained when there is full population inversion (N2 = 0).