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Optical Fiber Communication Conference

Polarization-dependent gain in erbium-doped fibers

R. W. Keys, S.J. Wilson, M. Healy, S.R. Baker, A. Robinson, J. E. Righton

Published Jan 1, 1994• 8 citations
Publisher

Abstract

One component of polarization-dependent gain (PDG) in optical amplifiers has been shown to originate from polarization hole burning (PHB) in the erbium fibers.1 In this paper we quantify its magnitude for copumped amplifiers under operating conditions typical of those used in long-haul amplified systems. We find that PDG can be significant, even when the polarization state of the signal is circular, and that hole burning due to the polarization of the 1480-nm pump laser contributes significantly to the overall polarization-dependent gain of the fiber.

DOI
10.1364/ofc.1994.ff5

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In Er-doped fiber amplifiers (EDFA), ASE polarized orthogonal to a saturating signal experiences more gain than ASE with the same polarization as the saturating signal.1 The accumulated enhancement of orthogonal ASE degrades the performance of long systems.1,2 This effect has been observed in single EDFAs using differential measurement techniques.3,4 A computer model of polarization hole-burning (PHB) has been presented.5 It postulates that each ion has an ellipsoid-like surface representing the emission and absorption cross-sections. The ratio of the major to minor cross-sections is the anisotropy parameter:

Optical Amplifiers and Their Applications•Jan 1, 1994•7 citations
One component of polarization-dependent gain (PDG) in optical amplifiers has been shown to originate from polarization hole burning (PHB) in the erbium fibers.1 In this paper we quantify its magnitude for copumped amplifiers under operating conditions typical of those used in long-haul amplified systems. We find that PDG can be significant, even when the polarization state of the signal is circular, and that hole burning due to the polarization of the 1480-nm pump laser contributes significantly to the overall polarization-dependent gain of the fiber.
Polarization-dependent gain (PDG) in fiber amplifiers is studied theoretically. A mathematical model is developed by treating the dopant ions in glass host as partially anisotropic oscillators, and both the signal and the pump effects are taken into account. It is illustrated that PDG includes two components. One arises from polarization-selective excitation of the dopant ions by the pump; the other originates from polarization-selective deexcitation of the lasing ions by the saturating signal, known as polarization hole burning (PHB). PDG depends strongly on the operating state of the amplifiers such as the level of gain compression, the anisotropy of the dopant ions, and the relative polarization orientations of the signal and the pump. In a small-signal regime, PDG is induced only by the pump while in large-signal condition it is the sum of the two components. The good agreement between the theoretical calculations and the reported results confirms the validity of the model.
Polarization hole burning (PHB) has been observed in individual erbium-doped amplifiers.1 PHB means that a polarized saturating signal causes anisotropic saturation in an erbium- doped fiber (EDF). The resulting gain measured with a weak probe is maximum when the probe state of polarization (SOP) is orthogonal to the signal SOP and is minimum for the same SOP. The absorption is also anisotropic and is the compliment of the gain; i.e., where the gain is maximum the absorption is minimum and vice versa. The saturation anisotropy is characterized by the difference (in dB) between extrema for gain δG or the absorption δA. If the same order of subtraction is maintained, δG is positive and δA is negative.
Polarization hole burning, PHB, has been observed in erbium doped fiber amplifiers[1]. PHB is an anisotropic saturation created when a polarized saturating signal is launched into the erbium doped fiber. A corresponding anisotropic gain is also created. The gain, measured with a weak probe, is found to be larger for a probe polarized orthogonal to the saturating signal compared to a probe polarized parallel to the saturating signal. The effect is typically expressed as the gain difference, δG, (in dB) for the two probe polarizations.
In Er-doped fiber amplifiers (EDFA), ASE polarized orthogonal to a saturating signal experiences more gain than ASE with the same polarization as the saturating signal.1 The accumulated enhancement of orthogonal ASE degrades the performance of long systems.1,2 This effect has been observed in single EDFAs using differential measurement techniques.3,4 A computer model of polarization hole-burning (PHB) has been presented.5 It postulates that each ion has an ellipsoid-like surface representing the emission and absorption cross-sections. The ratio of the major to minor cross-sections is the anisotropy parameter: