Theory of polarization attraction in parametric amplifiers based on telecommunication fibers

Year: 2012

Authors: Guasoni M., Kozlov V.V., Wabnitz S.

Autors Affiliation: Department of Information Engineering, Università di Brescia, Via Branze 38, 25123 Brescia, Italy; Department of Physics, St.-Petersburg State University, Petrodvoretz, St.-Petersburg 198504, Russian Federation

Abstract: We develop from first principles the coupled wave equations that describe polarization-sensitive parametric amplification based on four-wave mixing (FWM) in standard (randomly birefringent) optical fibers. We show that in the small-signal case these equations can be solved analytically, and permit us to predict the gain experienced by the signal beam as well as its state of polarization (SOP) at the fiber output. We find that, independently of its initial value, the output SOP of a signal within the parametric gain bandwidth is solely determined by the pump SOP. We call this effect of pulling the polarization of the signal towards a reference SOP the polarization attraction, and we call the parametric amplifier the FWM polarizer (which can equivalently be called the fiber-optic parametric amplifier polarizer). Our theory is valid beyond the zero polarization mode dispersion (PMD) limit, and it takes into account moderate deviations of the PMD from zero. In particular, our theory is capable of analytically predicting the rate of degradation of the efficiency of the parametric amplifier, which is caused by the detrimental PMD effect.


Volume: 29 (10)      Pages from: 2710  to: 2720

More Information:
This work was carried out with support from the Italian Ministry of Research and the University (MIUR) through the grant 2008MPSSNX.

KeyWords: Optical fibers; Optical instruments; Optical parametric amplifiers; Parametric amplifiers, Coupled wave equations; Fiber-optic parametric amplifier; Initial values; Parametric amplification; Parametric gain; Signal beams; State of polarization; Telecommunication fibers, Polarization
DOI: 10.1364/JOSAB.29.002710

Citations: 18
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