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Laser Physics Letters

Analytical method for few-mode erbium doped fiber amplifiers

Xiangwei Chen, Baojian Wu, Yanqiu Xie, Feng Wen, Kun Qiu

Published Feb 3, 2020• 7 citations
Publisher

Abstract

Abstract An analytical method for few-mode erbium doped fiber amplifiers (EDFAs) is proposed by introducing the uniformity coefficient of population inversion. The validity of the derivation process of the analytical method is identified by the numerical method. It is shown that the more uniform the transverse distribution of erbium ion population density at the metastable level, the closer the analytical solution is to the numerical result. The optimized uniformity coefficient is also applied to the case of varying pump power to some extent. The analytical method is especially suitable for the design of the gain-saturated EDFAs.

DOI
10.1088/1612-202x/ab6d60

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Erbium-doped fiber amplifier(EDFA)efficiency strongly depends on erbium concentration.Highly doped erbium devices show degraded performance when compared with low concentration ones.The mechanism of upconversion is studied and the effect of it on the performance of an EDFA is analyzed numerically,by means of a set of rate equations model.Approximate analytical solutions,for the rate equations,which include the effect of the upconversion,are presented,when the amplified spontaneous emission can be neglected,compared to the pump and signal powers.Results show that the pump and signal powers all bear degradation due to upconversion.,and the effect can't be neglected when the Er3+ concentration is larger than 2.95×1025 m-3.

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Abstract An analytical method for few-mode erbium doped fiber amplifiers (EDFAs) is proposed by introducing the uniformity coefficient of population inversion. The validity of the derivation process of the analytical method is identified by the numerical method. It is shown that the more uniform the transverse distribution of erbium ion population density at the metastable level, the closer the analytical solution is to the numerical result. The optimized uniformity coefficient is also applied to the case of varying pump power to some extent. The analytical method is especially suitable for the design of the gain-saturated EDFAs.
"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.
In an erbium-doped fiber amplifier (EDFA), erbium ions act as a three-level system. Therefore, much higher pump energy is required to achieve the population inversion in an erbium-doped fiber (EDF). This higher pump energy requirement complicates the efficient design of an EDFA. However, efficient use of the pump power can improve the EDFA performance. The improved performance of an EDFA can be obtained by reducing the doping radius of the EDF. A smaller doping radius increases pump–dopant interactions and subsequently increases the pump–photon conversion efficiency. Decreasing the doping radius allows a larger proportion of dopant ions, which are concentrated near the core, to interact with the highest pump intensity. However, decreasing the doping radius beyond a certain limit will bring the dopant ions much closer and introduce detrimental ion–ion interaction effects. In this Letter, we show that an optimal doping radius in an EDF can provide the best gain performance. Moreover, we have simulated the well-known numerical aperture effects on EDFA gain performance to support our claim.
The effect of homogeneous upconversion on the performance of an erbium-doped fiber amplifier (EDFA) is analyzed numerically, by means of a set of rate equations model. In particular, the influence of pump power, signal power, and Er/sup 3+/ concentration on the degradation, due to upconversion, is examined. Forward pumping is considered and amplified spontaneous emission, as well as scattering loss are taken into account. In addition, approximate analytical solutions, for the rate equations, which include the effect of the cooperative upconversion, are presented. It is shown that under the considered conditions, these analytical solutions provide a good approximation to the exact numerical solution and thus may be used for the design of such amplifiers.
Erbium-doped fiber amplifier(EDFA)efficiency strongly depends on erbium concentration.Highly doped erbium devices show degraded performance when compared with low concentration ones.The mechanism of upconversion is studied and the effect of it on the performance of an EDFA is analyzed numerically,by means of a set of rate equations model.Approximate analytical solutions,for the rate equations,which include the effect of the upconversion,are presented,when the amplified spontaneous emission can be neglected,compared to the pump and signal powers.Results show that the pump and signal powers all bear degradation due to upconversion.,and the effect can't be neglected when the Er3+ concentration is larger than 2.95×1025 m-3.