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JOURNAL OF SHENZHEN UNIVERSITY SCIENCE AND ENGINEERING

Numerical simulation and software implementation of erbium-doped fiber source

Chengxiang Liu

Published Jan 1, 2010• 0 citations
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Abstract

Based on the energy level of erbium ions in the glass matrix,we analyzed the work mechanism of erbium-doped fiber super-fluorescent light source. The physical model of light source was set up,which was described by propagation equations of pump light and signal light along the erbium-fiber. By dividing the fluorescence spectra into 10 wavelengths,the issue was solving the boundary value problem of 21-dimensional ordinary differential equations. We translated the boundary value problems into an initial value problem using shooting method. The equations were solved using Runge-Kutta method. We wrote a program to implement the algorithms using Visual C++. The numerical simulation and software can provide directions for researching on erbium-doped fiber amplifiers and lasers.

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Optical Communication Technology•Jan 1, 1994•0 citations
Based on the energy level of erbium ions in the glass matrix,we analyzed the work mechanism of erbium-doped fiber super-fluorescent light source. The physical model of light source was set up,which was described by propagation equations of pump light and signal light along the erbium-fiber. By dividing the fluorescence spectra into 10 wavelengths,the issue was solving the boundary value problem of 21-dimensional ordinary differential equations. We translated the boundary value problems into an initial value problem using shooting method. The equations were solved using Runge-Kutta method. We wrote a program to implement the algorithms using Visual C++. The numerical simulation and software can provide directions for researching on erbium-doped fiber amplifiers and lasers.
"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.
Erbium ytterbium co-doped super-fluorescent fiber source (EYD-SFS) has been simulated by a theoretical model based on rate equations and power transfer equations. The output performances of four basic structures of EYD-SFS have been expressed, and it indicated that the DPF structure is a preferable structure. The dependence of output power, mean wavelength and bandwidth stability on the pump fiber length and the concentration of Er 3+ and Yb 3+ have also been studied. The results indicated with a proper doping concentration of Er 3+ and Yb 3+ of 6.0 × 10 26 ions/m 3 and 1.0 × 10 27 ions/m 3 , the optimal gain fiber length is 3.6 cm. In this condition, good performances of DPF structure of EYD-SFS have been achieved.
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.
In our work, we develop a numerical model for studding the variation of phenomenological and optical parameters in an Er+3 system of 6 excited levels that is subject to a lasing condition. The model is using a four order Runge- Kutta method to solve a system of eight time-dependent variables. The simulations, based on the change of pumping wavelength, prove that the highest efficiency is reached for a 970 nm pump wavelength, concordant with the existing literature results. Different processes, including: three ion-ion up-conversion processes, two pumping processes and the inherent spontaneous transition, are considered.
An apporoximative theoretical of an erbium-doped fiber amplifier (EDFA) has been proposed in this paper by the rate equation of three-level system. The optimum fiber length is obtained with different pump wavelength by considering the excited-stated-absorption(ESA) in EDFA. The relations between the gain and signal light intensity and pump light intensity are analyzed. It is found that the gain spectrum shape can be changed with the fiber length, which provides the evidence that EDFA is of great potential use in wavelength division multiplexed telecommunication systems.