Tellurite-Based optical fiber amplifier analysis using the finite-element method

Abstract

A numerical analysis for erbium‐doped tellurite‐based fiber amplifiers (EDFA) is presented for the first time in the literature. Modal and propagation equations are solved using the finite‐element method and the Runge–Kutta algorithm, respectively, and are applied to a homogeneous four‐level erbium‐doped fiber pumped at 1480 nm. Energy transfer due to cooperative up‐conversion, cross relaxation, and excited state absorption is considered here. Comparisons with published experimental data confirm the present theoretical results. © 2000 John Wiley & Sons, Inc. Microwave Opt Technol Lett 25: 103–107, 2000.

A Theoretical and Experimental Investigation into Pair-induced Quenching in Bismuth Oxide-based Erbium-doped Fiber Amplifiers

“…1. The EDFA model included the PIQ effects, the homogeneous cooperative up-conversion, the pump ESA, and the signal ESA [7], [10][11][12][13]. In the model, the effects of the pump (P p ), signal (P s ), and amplified spontaneous emission (ASE) (P ASE ) power on the populations in the energy level system were represented by the following two separate rate equations.…”

Spectroscopic properties of Er3+:4I13/2 level in Bi2O3–B2O3–GeO2–Na2O glasses

“…The broad fluorescence spectrum of Er 3+ ion is formed by both uniformly broadening due to thermal vibration of glass matrix and non-uniformly broadening due to such as aperiodic glass structure making each Er 3+ ion in a different ligand field, and its spectral line-shape (enveloping line) follows Gaussian distribution, of which each spectral sub-component corresponding to a certain frequency transition is determined by Lorentzian line-shape function expressed as [20]:…”

Energy transfer between Er3+ and Pr3+ in chalcogenide glasses for dual-wavelength fiber-optic amplifiers

“…The signal gains were calculated from the numerical integration of these differential equations to z, using the Runge-Kutta method. 18 Figure 5 shows the calculated values of the signal gain from a fiber doped with 300 ppm of Pr 3ϩ and 3000 ppm of Er 3ϩ ͑E30P03͒. Pump beam of 1 W at 986 nm wavelength was launched in the forward direction of the signal propagation.…”