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We discuss the dynamics of the quantum fluctuation around the nonlinear massive wave solution in the Higgs potential. In particular, we analyze the stability and instability of the mode function. Using the stability condition for Hill's…

高能物理 - 唯象学 · 物理学 2025-05-13 Yoshio Kitadono , Tomohiro Inagaki

We consider the modulational instability of nonlinearly interacting two-dimensional waves in deep water, which are described by a pair of two-dimensional coupled nonlinear Schroedinger equations. We derive a nonlinear dispersion relation.…

混沌动力学 · 物理学 2007-05-23 P. K. Shukla , I. Kourakis , B. Eliasson , M. Marklund , L. Stenflo

We investigate multi-wave mixing associated with the strongly pump depleted regime of induced modulation instability (MI) in optical fibers. For a complete transfer of pump power into the sideband modes, we theoretically and experimentally…

The growth rate of the filamentation instability triggered when a diluted cold electron beam passes through a cold plasma is evaluated using the quantum hydrodynamic equations. Compared with a cold fluid model, quantum effects reduce both…

等离子体物理 · 物理学 2009-11-13 A. Bret

Previous studies of the modulation instability (MI) of continuous waves (CWs) in a two-core fiber (TCF) did not consider effects caused by co-propagation of the two polarized modes in a TCF that possesses birefringence, such as cross-phase…

光学 · 物理学 2012-07-03 J. H. Li , K. S. Chiang , B. A. Malomed , K. W. Chow

Recently there has been a surge in interest in using video-microscopy techniques to infer the local mechanical properties of disordered solids. One common approach is to minimize the difference between particle vibrational displacements in…

软凝聚态物质 · 物理学 2015-08-26 Daniel M. Sussman , Samuel S. Schoenholz , Ye Xu , Tim Still , A. G. Yodh , Andrea J. Liu

We report experiments on propagation of scalar and vector optical beams through random phase screens mimicking turbulence and show that the intensity profile of the beam containing a C-point polarization singularity shows maximally robust…

光学 · 物理学 2018-08-22 Priyanka Lochab , Paramasivam Senthilkumaran , Kedar Khare

Turing patterns emerge from a spatially uniform state following a linear instability driven by diffusion. Features of the eventual pattern (stabilized by non-linearities) are already present in the initial unstable modes. On a uniform flat…

软凝聚态物质 · 物理学 2019-01-31 John R. Frank , Jemal Guven , Mehran Kardar , Henry Shackleton

We consider the contribution to the density of vibrational states and the distribution of energy barrier heights of incipient instabilities in a glass modeled by a jammed packing of spheres. On approaching an instability, the frequency of a…

软凝聚态物质 · 物理学 2017-11-27 Ning Xu , Andrea J. Liu , Sidney R. Nagel

Diffraction-free Bessel beams have attracted major interest because of their stability even in regimes of nonlinear propagation and filamentation. However, Kerr nonlinear couplings are known to induce significant longitudinal intensity…

光学 · 物理学 2019-10-15 Ismail Ouadghiri-Idrissi , John M. Dudley , Francois Courvoisier

We introduce a complete analytical and numerical study of the modulational instability process in a system governed by a canonical nonlinear Schr\"odinger equation involving local, arbitrary nonlinear responses to the applied field. In…

斑图形成与孤子 · 物理学 2015-01-08 David Novoa , Daniele Tommasini , José A. Nóvoa-López

One of the most fundamental properties of isotropic negative-index metamaterials, namely opposite directionality of the Poynting vector and the wavevector, enable many novel linear and nonlinear regimes of light-matter interactions. Here,…

光学 · 物理学 2016-04-20 Salih Z. Silahli , Wiktor Walasik , Natalia M. Litchinitser

We investigate the coherent population trapping resonance induced by a polychromatic optical field with an asymmetric spectrum, i.e., whose sidebands equidistant from the carrier have unequal powers. A situation is considered where a…

The notion of instability of a turbulent flow is introduced in the case of a von K\'arm\'an flow thanks to the monitoring of the spatio-temporal spectrum of the velocity fluctuations, combined with projection onto suitable Beltrami modes.…

流体动力学 · 物理学 2014-01-14 Eric Herbert , Pierre-Philippe Cortet , François Daviaud , Bérengère Dubrulle

This paper presents some numerical simulations of the full one-dimensional Maxwell-Lorentz equations that describe light propagation in fiber Bragg gratings in order to confirm that the standard nonlinear coupled mode equations fail to…

斑图形成与孤子 · 物理学 2007-05-23 C. Martel , C. M. Casas

The spectral energy distribution (SED) in chemically peculiar stars may be significantly affected by their abundance anomalies. The observed SED variations are usually assumed to be a result of inhomogeneous surface distribution of chemical…

太阳与恒星天体物理 · 物理学 2015-06-03 J. Krticka , Z. Mikulasek , T. Luftinger , D. Shulyak , J. Zverko , J. Ziznovsky , N. A. Sokolov

We study modulational stability and instability in the Whitham equation, combining the dispersion relation of water waves and a nonlinearity of the shallow water equations, and modified to permit the effects of surface tension and constant…

偏微分方程分析 · 数学 2015-08-28 Vera Mikyoung Hur , Mathew A. Johnson

We theoretically and experimentally investigate spontaneous self-organization in a conservative (Hamiltonian) turbulent wave system, operating far from thermodynamic equilibrium. Our system is governed by two coherently coupled nonlinear…

Quantum fluctuations of electromagnetic vacuum are investigated in a half-space bounded by a perfectly reflecting plate by introducing a probe described by a charged wave-packet distribution in time-direction. The wave-packet distribution…

量子物理 · 物理学 2014-11-20 Masafumi Seriu , Chun-Hsien Wu

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