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Flow nonnormality induced linear transient phenomena in thin self-gravitating astrophysical discs are studied in the shearing sheet approximation. The considered system includes two modes of perturbations: vortex and (spiral density) wave.…

Astrophysics · Physics 2009-11-13 G. R. Mamatsashvili , G. D. Chagelishvili

Spontaneous emergence of self-organized patterns and their bifurcations towards a regime of complex dynamics in non-equilibrium dissipative systems is a paradigm of phase transition. Indeed, the behavior of these patterns in the highly…

We present study of the dynamics of two ring waveguide structure with space dependent coupling, linear gain and nonlinear absorption - the system that can be implemented in polariton condensates, optical waveguides, and nanocavities. We…

Pattern Formation and Solitons · Physics 2018-05-30 Aleksandr Ramaniuk , Nguyen Viet Hung , Michael Giersig , Krzysztof Kempa , Vladimir V. Konotop , Marek Trippenbach

Optical propagation and vortices in nonlinear media have been intensively studied in modern optical physics. In this paper, we establish constraints regarding the propagation constant and provide an existence theory and numerical…

Analysis of PDEs · Mathematics 2023-05-23 Tianyi Zhang , Luciano Medina , Zihan Zhang

Effects of rotational mode coupling on photometric parameters of stellar oscillations are studied. At moderate rotation rates, a strong coupling between modes of spherical harmonic degree, $\ell$, differing by 2 and of the same azimuthal…

The nonlinear stage of modulational instability in optical fibers induced by a wide and easily accessible class of localized perturbations is studied using the nonlinear Schrodinger equation. It is showed that the development of associated…

Pattern Formation and Solitons · Physics 2018-11-14 Matteo Conforti , Sitai Li , Gino Biondini , Stefano Trillo

We experimentally and theoretically study self-phase modulation by Kerr effect in a liquid filled hollow core photonic crystal fiber. We perform a complete characterization of the linear optical properties of the hollow core photonic band…

When a phase singularity is suddenly imprinted on the axis of an ordinary Gaussian beam, an optical vortex appears and starts to grow radially, by effect of diffraction. This radial growth and the subsequent evolution of the optical vortex…

A numerical study of nonlinear r-modes in isentropic, rapidly rotating relativistic stars, via 3-D general-relativistic hydrodynamical evolutions, is presented. On dynamical timescales, we find no evidence for strong coupling of r-modes to…

Astrophysics · Physics 2007-05-23 Jose A. Font , Nikolaos Stergioulas

We study the spatial coherence properties of optical vortices generated by partially incoherent light in self-focusing nonlinear media. We reveal the existence of phase singularities in the spatial coherence function of a vortex field that…

Pattern Formation and Solitons · Physics 2007-05-23 Kristian Motzek , Yuri S. Kivshar , Grover A. Swartzlander

We developed theoretical formalism for generation of optical vortices by phased arrays of atoms. Using Jacobi-Anger expansion, we demonstrate the resulting field topology and determine the least number of array elements necessary for…

Quantum Physics · Physics 2023-05-05 Hao Wang , Andrei Afanasev

The dynamics of vortex rings in fluids have long captivated researchers due to the intriguing complexity of their behavior, despite the apparent simplicity of their structure. In optics, photonic toroidal vortices constitute a novel class…

Here we employ both dynamic and geometric phase control of light to produce radially modulated vector-vortex modes, the natural modes of optical fibers. We then measure these modes using a vector modal decomposition set-up as well as a…

We study the properties of linear and nonlinear waveguides induced by optical vortex solitons in both self-defocusing and self-focusing nonlinear media, for the case of a saturable nonlinear response. We demonstrate that the vortex-induced…

Pattern Formation and Solitons · Physics 2007-05-23 José R. Salgueiro , Yuri S. Kivshar

In-plane polarized light experiences a non-trivial topological evolution as it propagates resonantly in a M\"obius ring resonator. The resultant geometric phase varies continuously when changing the light ellipticity, which leads to…

Optics · Physics 2023-08-11 S. L. Li , L. B. Ma , V. M. Fomin , S. Böttner , M. R. Jorgensen , O. G. Schmidt

Vibrational resonance (VR) is a nonlinear phenomenon in which the system response to a weak signal can be resonantly enhanced by applying a high-frequency modulation signal with an appropriate amplitude. The majority of VR research has…

Optics · Physics 2024-03-01 Yinuo Wang , Shan Wu , Cuicui Li , Zhenglu Duan , Min Xie , Bixuan Fan

We identify and discuss nonlinear phase noise arising in Kerr self-phase modulation of a coherent light pulse propagating through an attenuating medium with third-order nonlinearity in a dispersion-free setting. This phenomenon,…

Quantum Physics · Physics 2018-01-29 Ludwig Kunz , Matteo G. A. Paris , Konrad Banaszek

The curling spin wave modes of a ferromagnetic vortex confined to a microscale disc have been directly imaged in response to a microwave field excitation using time-resolved scanning Kerr microscopy. Micromagnetic simulations have been used…

Mesoscale and Nanoscale Physics · Physics 2021-02-10 D. Osuna Ruiz , P. S. Keatley , J. R. Childress , J. A. Katine , R. J. Hicken , A. P. Hibbins , F. Y. Ogrin

Influence of the self-phase modulation of quantum light on the induced resonant excitation of a semiconductor quantum dot is studied analytically in the case of the Kerr-nonlinearity of the medium. The phase nonlinearity is found to result…

Quantum Physics · Physics 2022-01-05 Stepan N. Balybin , Roman V. Zakharov , Olga V. Tikhonova

We address vortex solitons supported by optical lattices featuring modulation of both the linear and nonlinear refractive indices. We find that when the modulation is out-of-phase the competition between both effects results in remarkable…

Optics · Physics 2009-11-13 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner