12 March 2013 Polarization stabilization of vector solitons in circularly birefringent fibers induced by Raman effect
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Abstract
Common optical fibers are randomly birefringent, and solitons traveling in them develop random polarization states upon propagation. However it is desirable to have solitons with a well-defined polarization. We analyzed the two coupled propagation equations in a circularly birefringent fiber. Our equations included the soliton self frequency shift. For our best knowledge this set of equation was analyzed for the first time. We performed a transformation of equations which reduces them to a form of perturbed Manakov task. The difference between our equations and the integrable Manakov case was considered as a perturbation. The perturbation method gives us an equations for evolution of the polarization state of pulse. The evaluation equation shows that in a circularly birefringent (twisted) fiber the cross–polarization Raman term leads to unidirectional energy transfer from the slow circularly polarized component to the fast one. The magnitude of this effect is determined by the product of birefringence and amplitudes of both polarization components. Thus, solitons with any initial polarization state will eventually evolve stable circularly polarized solitons. We also solved equations using a split-step Fourier method. The parameters of a standard fiber were used with delay between left- and right- circular polarizations of 1 ps/km that corresponds a fiber twisted by 6 turns/m.
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E. A. Kuzin, B. A. Villagomez-Bernabe, N. Korneev, B. Ibarra-Escamilla, A. Gonzalez-García, O. Pottiez, M. Duran-Sanchez, "Polarization stabilization of vector solitons in circularly birefringent fibers induced by Raman effect", Proc. SPIE 8604, Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications XII, 86040L (12 March 2013); doi: 10.1117/12.2004484; https://doi.org/10.1117/12.2004484
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