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Abstract The inhomogeneous broadening, although secondary to homogeneous broadening in Erbium doped fiber amplifier, recent experimental results show its effect in some applications. Laser stabilization techniques are essential for the applications of Erbium doped fiber amplifiers in WDM systems. One such important configuration is obtained by inducing laser oscillations in the amplifier. To treat this system we developed a full mathematical model based on semiclassical theory. The Er ions are described by the density matrix approach taking into consideration the Stark splitted manifolds of each energy level. However, the electromagnetic field is described classically. Monochromatic as well as polychromatic field are considered. Special attention has been given to an laser oscillation with high power levels inside the amplifier. This model is applied to our case by extracting the relevant parameters from experimental results. The model describes the saturation effects due to the signal powers not only on the population difference of the amplifying levels but also on the concerned on the emission and absorption themselves. The model can also handle beating effects between the propagating signals as well as lending itself for describing fast field variations. The only basic assumption on the model is the thermalization of the population of the Stark splitted sup-levels which makes this model valid for power variation up to 100 GHz. This model is then applied to the laser stabilized Erbium doped fiber amplifier appropriate approximation particularly of Erbium doped fiber systems makes it possible to reduced the computation effect will allowing an approximate analytical solution. It is found that the analytical solution in within 5% error from the numerical solution. The effect of fiber length, mirror reflectivity, pump wavelength, laser wavelength, and the Er3+ concentration on threshold pump power are discussed. Gain control under add/DROP ten channels in wave division multiplexing transmission has been calculated for different system parameters, particularly the laser wavelength. This last parameters show sensitively to inhomogeneous broadening particularly 1.53 mm wavelength. The results show that there exist a preferred set of parameters that yield the best gain control and noise figure for the amplifier. The gain excursion of less then 0.3 dB found when nine out of ten channels were DROPped |