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The interplay of such cornerstones of modern nonlinear fiber optics as a nonlinearity, stochasticity and polarization leads to variety of the noise induced instabilities including polarization attraction and escape phenomena harnessing of…

In this paper, we demonstrate that it is possible to combine both Raman amplification and polarization attraction of a signal wave in a single optical fiber by means of a counterpropagating scheme. Experiments were performed near 1550 nm in…

光学 · 物理学 2012-07-20 Philippe Morin , Stéphane Pitois , Julien Fatome

The theory of two counter-propagating polarized beams interacting in a randomly birefringent fiber via the Kerr and Raman effects is developed and applied to the quantitative description of Raman polarizers in the undepleted regime. Here…

We report a simple and efficient all-optical polarization scrambler based on the nonlinear interaction in an optical fiber between a signal beam and its backward replica which is generated and amplified by a reflective loop. When the…

混沌动力学 · 物理学 2015-04-14 M. Guasoni , P-Y. Bony , M. Gilles , A. Picozzi , J. Fatome

We develop from first principles the coupled wave equations that describe polarization-sensitive parametric amplification based on four-wave mixing in standard (randomly birefringent) optical fibers. We show that in the small-signal case…

光学 · 物理学 2013-01-08 Massimiliano Guasoni , Victor V. Kozlov , Stefan Wabnitz

Polarisation effects in the microcavity parametric oscillator are studied using a simple model in which two chi-three optical parametric oscillators are coupled together. It is found that there are, in general, a number of steady states of…

介观与纳米尺度物理 · 物理学 2007-05-23 P. R. Eastham , D. M. Whittaker

We study optomechanical interactions in non-Hermitian photonic molecules that support two photonic states and one acoustic mode. The nonlinear steady-state solutions and their linear stability landscapes are investigated as a function of…

光学 · 物理学 2016-04-19 David W. Schönleber , Alexander Eisfeld , Ramy El-Ganainy

We study the stability of coupled impedance passive regular linear systems under power-preserving interconnections. We present new conditions for strong, exponential, and non-uniform stability of the closed-loop system. We apply the…

最优化与控制 · 数学 2023-03-01 Lassi Paunonen

We study the role of a direct intracavity polarization coupling in the dynamics of transverse pattern formation in type-II optical parametric oscillators. Transverse intensity patterns are predicted from a stability analysis, numerically…

斑图形成与孤子 · 物理学 2009-11-07 Gonzalo Izus , Maxi San Miguel , Daniel Walgraef

We develop a full theoretical analysis of the nonlinear interactions of the two polarizations of a waveguide by means of a vectorial model of pulse propagation which applies to high index subwavelength waveguides. In such waveguides there…

光学 · 物理学 2015-06-04 Shahraam Afshar V. , M. A. Lohe , Wen Qi Zhang , Tanya M. Monro

Polarization maintaining (PM) fibers are meant to maintain linear polarization along a preferred axis. A PM fiber can be seen as the fiber version of a very high order waveplate, designed with different refractive indices along two…

The problem of stability of the optimal filter is revisited. The optimal filter (or filtering process) is the conditional probability of the current state of some stochastic process (the signal process), given both present and past values…

概率论 · 数学 2021-03-02 Lea Oljača , Tobias Kuna , Jochen Bröcker

We observe stable propagation of spatially localized single- and double-charge optical vortices in a self-focusing nonlinear medium. The vortices are created by self-trapping of partially incoherent light carrying a phase dislocation, and…

斑图形成与孤子 · 物理学 2009-11-10 Chien-Chung Jeng , Ming-Feng Shih , Kristian Motzek , Yuri Kivshar

We demonstrate an all-optical bump-on-tail instability by considering the nonlinear interaction of two partially-coherent spatial beams. For weak wave coupling, we observe momentum transfer with no variation in intensity. For strong wave…

光学 · 物理学 2009-11-13 Dmitry V. Dylov , Jason W. Fleischer

We introduce a class of one-dimensional complex optical potentials that feature a nonlinearity-induced stability restoration, i.e., the existence of stable nonlinear modes propagating in a waveguide whose linear eigenmodes are unstable. The…

光学 · 物理学 2024-04-15 Dmitry A. Zezyulin

We study the non relativistic motions of a charged particle in the electromagnetic field generated by two parallel electrically neutral vertical wires carrying time depends currents. Under quantitative conditions on the currents we prove…

混沌动力学 · 物理学 2025-01-28 Stefano Marò , Francisco Prieto-Castrillo

We study a disordered network of bistable bonds subjected to periodic strain. The model is inspired by experiments on crumpled sheets and it features behaviors associated with glasses, including a complex energy landscape, memories, and…

软凝聚态物质 · 物理学 2025-07-18 Sheng Huang , Daniel Hexner

We study convective stability of a two-front superposition in a reaction-diffusion system. Due to the instability of the connecting equilibrium, long-range semi-strong interaction is expected between the two waves. When restricting to the…

偏微分方程分析 · 数学 2026-05-27 Louis Garénaux , Bastian Hilder

We analyze the stability of a non-Hermitian coupler with respect to modulational inhomogeneous perturbations in the presence of unbalanced gain and loss. At the parity-time (PT) symmetry point the coupler is unstable. Suitable symmetry…

斑图形成与孤子 · 物理学 2017-06-28 Yannis Kominis , Tassos Bountis , Sergej Flach

Modulation instability in a nonlinear optical waveguide array with alternating positive and negative refractive indices is investigated analytically. Particular solutions of a system of coupled nonlinear equations are found. These solutions…

斑图形成与孤子 · 物理学 2014-09-30 A. A. Dovgiy , A. I. Maimistov
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