Polarization dynamics in twisted fiber amplifiers: a non-Hermitian nonlinear dimer model

Abstract

We study continuous-wave light propagation through a twisted birefringent single-mode fiber amplifier with saturable nonlinearity. The corresponding coupled-mode system is isomorphic to a non-Hermitian nonlinear dimer, and gives rise to analytic polarization-mode dynamics. It provides an optical simulation of the semi-classical non-Hermitian Bose-Hubbard model, and suggests its use for the design of polarization circulators and filters, as well as sources of polarized light.

arXiv comment9 pages, 4 figures, 2 tables

References in corpus (6)

• Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer
• Stability Through Asymmetry: Modulationally Stable Nonlinear Supermodes of Asymmetric non-Hermitian Optical Couplers
• Revisiting the optical $PT$-symmetric dimer
• Theory of Polarization Attraction in Parametric Amplifiers Based on Telecommunication Fibers
• Optical finite representation of the Lorentz group
• Generalized Dimers and their Stokes-variable Dynamics

Cited by in corpus (5)

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• Exactly solvable model behind Bose-Hubbard dimers, Ince-Gauss beams, and aberrated optical cavities
• Ray and caustic structure of Ince-Gauss beams
• Integrability and trajectory confinement in $\mathcal{P}\mathcal{T}$-symmetric waveguide arrays