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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Evaluation method for the dynamics of an erbium-doped fiber laser

Florentin I. Vasile, Paul Șchiopu

Published Feb 23, 2000• 5 citations
Publisher

Abstract

We propose a simple method for integration by numerical computations of the atomic rate equations for three-level systems and the laser amplifier equations. We calculate the gain coefficient in erbium-doped fiber considering the effects of pump on the system dynamics. Described the atomic rate equations for three-level system and the dynamics Maxwell-Bloch equations for erbium-doped fiber laser amplifier is presented.

DOI
10.1117/12.378669

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We propose a simple method for integration by numerical computations of the atomic rate equations for three-level systems and the laser amplifier equations. We calculate the gain coefficient in erbium-doped fiber considering the effects of pump on the system dynamics. Described the atomic rate equations for three-level system and the dynamics Maxwell-Bloch equations for erbium-doped fiber laser amplifier is presented.
"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.
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.
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.