HighlightsAbstractKey wordsDOI
1. The propagation equations in EDFA was solved. A simple recursive formula is presented to calculate the output power of signal ,
2. Pump, ASE and. The numerical results show that our formulas agrees well with the numerical solution.
3. We proposed a method to find the solution of the problem of solving the backward ASE propagation equation.
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.
EDFA, single mode fiber, population inversion.
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