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Chinese Journal of Lasers

Theoretical analysis of fiber laser amplifiers for four-level system

Jiping Ning

Published Jan 1, 1993• 0 citations
OpenAlex

Abstract

Amplification characteristics of four-level fiber amplifiers are analyzed using four-level system rate equations. The relations of the signal gain against fiber length, doped ion concentration, pumping power and signal power are obtained and calculated.

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"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.
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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.
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.
We present the schematic representations for teaching the procedure of optical amplification in erbium and praseodymium doped fiber amplifiers by using rate equations models. The behaviour of these types of amplifiers is the same as three (for erbium ion) and four (for praseodymium ion) levels atomic systems, respectively. Most of the important characteristics of these amplifiers can be obtained from these simple models and their underlying assumptions. Hence, we can make use of these approaches for teaching the purposes of procedures in fiber amplifiers. For this aim, the gain performances of Er3+ and Pr3+-doped fiber amplifiers are investigated at the educational level, using the temperature-dependent rate equation model.
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.