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Journal of Liaoning University

Modulation and Gain Modulation Performance of Erbium-Doped Fiber Amplifier Pumped by 980nm-Laser

Dian Liu

Published Jan 1, 2010• 0 citations
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Abstract

The erbium-doped fiber amplifiers pumped by 980 nm-laser can be simplified into two level system.Neglecting amplifier spontaneous emission,we obtained the population of metastable state in steady-state case by Newton-Raphson iteration from EDFA rate equation.Introducing a sinusoidal time variation power as modulation of signal or pump,we got the expression for amplitude and phase modulation of population of metastable state.We got the numerical analytic model of gain modulation and discussed about last simulation results.

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The erbium-doped fiber amplifiers pumped by 980 nm-laser can be simplified into two level system.Neglecting amplifier spontaneous emission,we obtained the population of metastable state in steady-state case by Newton-Raphson iteration from EDFA rate equation.Introducing a sinusoidal time variation power as modulation of signal or pump,we got the expression for amplitude and phase modulation of population of metastable state.We got the numerical analytic model of gain modulation and discussed about last simulation 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.
A model is presented for erbium-doped fiber amplifiers that operate by an upconversion process in which two pump photons at ~800 nm are absorbed and can provide an inverted population and hence the ability to amplify signal photons at ~850 nm. The most important spectroscopic features of the amplifier are identified and used to formulate a theory that predicts how the amplifier gain varies with fiber length and doping density, as well as with launched pump and signal powers. The limitation that amplified spontaneous emission imposes on the gain is investigated, and useful approximate formulas are derived in the limit where amplified spontaneous emission is negligible.
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.
In this paper we perform a theoretical study via simulations of both, Cand L-EDFAs dependence on the fiber length. The model used in all the simulations results here introduced is the well-known modeling of erbium ions as a two level homogeneously broadened system. The propagation equations for the light, coupled with the rate equation for the excited state population of the erbium ions, are solved in both possible directions into the fiber. Numerical simulations give the gain and NF of the amplifier for any input signal and pump powers configuration.