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Technical Physics

Analytical model of an ytterbium-erbium fiber saturating amplifier

V. Yu. Golyshev

Published Oct 1, 2003• 4 citations
Publisher

Abstract

The amplification of an optical signal in an erbium-and ytterbium-doped fiber saturation-mode amplifier is considered. Analytical distributions of the inverse population, pump power, and signal intensity along an active light guide are derived. Spectral dependences of the saturation power and amplification threshold are obtained for different mode sizes of the radiation and ytterbium-to-erbium active ion ratios. The optimal active-fiber length is calculated.

DOI
10.1134/1.1620126

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The amplification of an optical signal in an erbium-and ytterbium-doped fiber saturation-mode amplifier is considered. Analytical distributions of the inverse population, pump power, and signal intensity along an active light guide are derived. Spectral dependences of the saturation power and amplification threshold are obtained for different mode sizes of the radiation and ytterbium-to-erbium active ion ratios. The optimal active-fiber length is calculated.
"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.
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.
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.
Fiber optic amplifiers will improve the power of signals propagating in optical fibers, usually using doped ions as amplifiers. The bismuth-doped fiber amplifier can amplify the current E-band signal light, which is less used, and provide a solution to enhance the communication transmission capacity.In this essay, Matlab is used as a research tool, and the bismuth-doped fiber amplifier is selected, and the energy level system is a three-energy levelThe 830 nm-wavelength pumping source amplifies the signal light at 1390 nm. The bismuth-ion velocity and power amplification propagation equations are established, and the amplified spontaneous radiated optical power is calculated. Amplified spontaneous radiation optical power, and through the calculation and simulated annealing algorithm to derive the amplified spontaneous radiation optical power amplification with the doping concentration and fiber length spectrum, in the fiber length of 3.3m and the number of doped particles of 9.1 * 10^25 to obtain the maximum optical power of 7.95*10^-9W.