Modeled with a three-level-atom appropriate to 980nm pumped ampifiers,analytical solutions have been deduced for the rate equations of erbium-doped fiber amplifiers.Various key parameters of the amplifiers have been specified.
Analytical solutions have been deduced for the rate equations of erbium-doped fibre amplifiers modelled with a two-level atom appropriate to 1480 nm pumped amplifiers. Various key parameters of the amplifiers have been specified and different pump schemes have been compared. Resume. On deduit d'un modele atomique a deux niveaux les equations dynamiques pour des amplificateurs a fibres dopees a l'erbium et pompes a 1480 nm. Le role des parametres importants des amplificateurs est analyse et differents schemas de pompage sont compares. Mots cles: Fibres dopees a l'erbium, modele atomique a deux niveaux
"Doping a part of the optical fiber core by (Er3+ ) ions in presence of external pumping power will lead to form the erbium-doped fiber amplifier (EDFA).The performance of this optical amplifier depends on (the power and the wavelength of the pumping laser, the power and wavelength of the input signal, amplifier length, ion concentration). These parameters will affect the characteristics of EDFA such as amplifier gain, gain saturation, noise figure and output power. However, these characteristics can be determined by solving the EDFA propagation and rate equations. The solution of these equations of two-level laser medium can be done numerically. In this paper, we are proposed a novel method to solve these equations. The reconstructed results are perfectly coincided the well known numerical results.
Doping a part of the optical fiber core by (Er3+ ) ions in presence of external pumping power will lead to form the erbium-doped fiber amplifier (EDFA).The performance of this optical amplifier depends on (the power and the wavelength of the pumping laser, the power and wavelength of the input signal, amplifier length, ion concentration). These parameters will affect the characteristics of EDFA such as amplifier gain, gain saturation, noise figure and output power. However, these characteristics can be determined by solving the EDFA propagation and rate equations. The solution of these equations of two-level laser medium can be done numerically. In this paper, we are proposed a novel method to solve these equations. The reconstructed results are perfectly coincided the well known numerical results.
A model is presented for erbium-doped fiber amplifiers that operate by an upconversion process in which two pump photons at ~800 nm are absorbed and can provide an inverted population and hence the ability to amplify signal photons at ~850 nm. The most important spectroscopic features of the amplifier are identified and used to formulate a theory that predicts how the amplifier gain varies with fiber length and doping density, as well as with launched pump and signal powers. The limitation that amplified spontaneous emission imposes on the gain is investigated, and useful approximate formulas are derived in the limit where amplified spontaneous emission is negligible.