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Journal of the Optical Society of America B

Distortion of a modulated signal by multiwave mixing in an erbium-doped-fiber amplifier

Weiping Zhang, P. L. Chu, Yan Xue

Published Jul 1, 1994• 2 citations
Publisher

Abstract

We analyze the sideband multiwave mixing process of an audio-frequency-modulated signal in an erbium-doped-fiber amplifier. The nearly resonant interaction of an audio-frequency-modulated signal with the doped erbium ions results in multiwave mixing, which induces the generation of new sideband frequencies. We show that the input signal is distorted by such a multiwave mixing process. The condition to reduce the distortion of an input modulated signal in an erbium-doped-fiber amplifier is evaluated.

DOI
10.1364/josab.11.001277

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We analyze the sideband multiwave mixing process of an audio-frequency-modulated signal in an erbium-doped-fiber amplifier. The nearly resonant interaction of an audio-frequency-modulated signal with the doped erbium ions results in multiwave mixing, which induces the generation of new sideband frequencies. We show that the input signal is distorted by such a multiwave mixing process. The condition to reduce the distortion of an input modulated signal in an erbium-doped-fiber amplifier is evaluated.
The dependence of the negative nonlinear absorption effect on both modulation degree and modulation frequency of an incident laser was investigated in erbium-doped fibers at 77 K. Negative input-output characteristics were obtained at modulation frequencies of 10 to 250 kHz for fiber lengths above 2 m. The maximum ratio of the transmitted modulation degree to the incident one was approximately -2 for a fiber length of 4 m. It is suggested that emissions induced in the fiber can contribute to the negative nonlinear absorption effect because they propagate with low loss.
The dependence of the negative nonlinear absorption effect on both modulation degree and modulation frequency of an incident laser was investigated in erbium-doped fibers at 77 K. Negative input-output characteristics were obtained at modulation frequencies of 10 to 250 kHz for fiber lengths above 2 m. The maximum ratio of the transmitted modulation degree to the incident one was approximately -2 for a fiber length of 4 m. It is suggested that emissions induced in the fiber can contribute to the negative nonlinear absorption effect because they propagate with low loss.
The dependence of the negative nonlinear absorption effect on both modulation degree and modulation frequency of an incident laser was investigated in erbium-doped fibers at 77 K. Negative input-output characteristics were obtained at modulation frequencies of 10 to 250 kHz for fiber lengths above 2 m. The maximum ratio of the transmitted modulation degree to the incident one was approximately -2 for a fiber length of 4 m. It is suggested that emissions induced in the fiber can contribute to the negative nonlinear absorption effect because they propagate with low loss.
The temporal envelope profile and the phase of a steady-state pulse propagating through a resonant medium in the presence of nonresonant nonlinearity are derived. The formation of solitonlike pulses takes place as a result of the balance of the self-phase modulation generated by nonresonant nonlinearity and the nonlinear resonant group-velocity dispersion induced by the self-induced-transparency effect in a resonant medium. Self-phase-modulation action leads to distortion of the pulse when its power and inverse duration exceed the critical values Pcr and τcr-1. We show the destructive role of self-phase modulation in the case of self-induced-transparency pulse generation in a laser with erbium-doped fiber as an intracavity coherent absorber.
"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.