Modeling of pump wavelength-dependent spectral hole-burning in EDFA

摘要

Throughout this paper, considering inhomogeneous broadening in amplification and pump bands, the dynamical behavior of an erbium-doped fiber amplifier is investigated. To this end, equations of propagation and populations are obtained with the erbium atoms being treated as three-level atoms. The governing equations comprise a system of infinitely many PDEs which reduce to finitely many PDEs using some mathematical tricks. The phenomena of spectral hole-burning and pump-mediated inhomogeneity are inspected by solving these equations through using the finite-difference method and calculating the gain difference spectrum.