Numerical investigation of gain characteristics of Er3+/Yb3+ co-doped fiber amplifiers

Abstract

In this work, a model for analyzing the gain characteristics of heavily Er 3+ /Yb 3+ co-doped compact fiber amplifier is presented. Four-level rate equations and finite-difference beam propagation method are applied to simulate the optical field evolution along the active fiber. Based on this model, the influences of ion concentration, fiber length and pump power on the gain characteristics of Er 3+ /Yb 3+ co-doped phosphate glass fiber amplifiers are theoretically investigated. Numerical results show that for a fiber length of 3.6 cm the internal gain can reach 27.2 dB with N Er = 2.6 × 10 26 ions/m 3 and N Yb = 1.2 × 10 27 ions/m 3 when pumped with 224 mW at 980 nm. The gain per centimeter is 7.56 dB/cm. The results can provide useful information to optimize the gain performance of these compact fiber amplifiers.Keywords Er 3+ /Yb 3+ co-doped fiber amplifiers · Helmholtz equation · Rate equations · Finite-difference beam propagation method (FD-BPM)

A numerical method for solving gain characteristics of Er3+/Yb3+ codoped waveguide amplifiers

“…where "+" and "-" are the flags of the propagation directions of the pump light and ASE; p , s and ASE v j are the overlapping factors of pump, signal and ASE, respectively; A c is the area of the cross-section of the waveguide; 12 (vs), 21 (vs) are the signal absorption and emission cross-section, respectively; 12 v j and 21 v j are the ASE absorption and emission cross-section respectively; v p is the pump frequency; v s is the signal frequency; v j is the frequency width of the slot at the ASE bandwidth; M is the number of frequency slots of width v; L is the waveguide length; m is the number of guided modes; h is Planck's constant; The meanings of parameters 12 (vs), 21 (vs) 13 v p , Yb 12 v p , Yb 21 v p , ˛p and ˛s can be seen in Table 1. The numerical solution of ASE equations was performed for 44 wavelength slots of width = 2.5 nm (1470-1580 nm) for the signal spectrum [16].…”

“…(11)- (13) and (17) 26), we get the ion concentrations N 2 , N 3 , N 4 , N Yb 1 and N Yb 2 and the powers P ± p , P s , and P ± ASE of the second segment. By repeating this algorithm until the end of device, the powers P ± p (L) P s (L) and P ± ASE L, v j (j = 1, 2, · · ·, M) can be calculated.…”

“…An excellent waveguide amplifier should own high gain characteristic. There are some methods for numerical solution, such as the finite difference beam propagation method (FD-BPM) and Runge-Kutta (RK) method [10][11][12][13], can be adopted to predict the amplifier characteristics and to improve its design, but the solving process is complicated. In this paper, our goals are to convert the complicated multilevel rate equations and power transmission equations of Er 3+ /Yb 3+ codoped waveguide amplifier (EYCDWA) into a univariate equation with a higher order, then solve it by means of interpolation and iteration methods and then reach a quantitative research for the dependence of the gain in EYCDWA on pump power, signal power, ion concentration, etc.…”

Modeling and Experiments of the Gain and Noise Figure for an Irradiated Erbium-Ytterbium Co-Doped Fiber Amplifier

“…In these amplifiers, a concentration of Erbium (Er) exceeding 10 26 ion/m 3 is needed. Unfortunately, such high concentration may cause concentration quenching resulting from ion-ion interactions by cooperative up conversion and cross relation, which may reduce the pump efficiency [2].…”

Vidrios de Zn₃(PO₄)₂ co-dopados con Er³⁺ - Yb³⁺ para un amplificador de señal

“…En la literatura se encuentra que la caracterización de un amplificador óptico es a veces complicada, existen varios métodos para caracterizarlo. [18]…”