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Wave propagation in one-dimensional heterogeneous bistable media is studied using the Schl\"ogl model as a representative example. Starting from the analytically known traveling wave solution for the homogeneous medium, infinitely extended,…

Pattern Formation and Solitons · Physics 2013-12-19 Jakob Löber , Markus Bär , Harald Engel

We study the heat transfer in weakly interacting particle systems in vacuum. The particles have surface roughness with self-affine fractal properties, as expected for mineral particles produced by fracture, e.g., by crunching brittle…

Applied Physics · Physics 2024-06-12 B. N. J. Persson , J. Biele

A wave pulse (be it a gravitational wave or a light wave) undergoes anomalous dispersion in a vacuum in flat spacetimes with an even number of spatial dimensions even if all the frequencies move at the same speed. Such an anomalous…

General Relativity and Quantum Cosmology · Physics 2022-03-17 Emel Altas , Ercan Kilicarslan , Bayram Tekin

At lower energies, the resonances in scattering experiments are often isolated. The crucial parameter is the ratio of average resonance width and average mean level spacing. Towards larger energies, this parameter grows, because the…

Statistical Mechanics · Physics 2025-03-31 Simon Köhnes , Jiongning Che , Barbara Dietz , Thomas Guhr

In this paper we consider an acoustic problem of wave propagation through a discontinuous medium. The problem is reduced to the dissipative wave equation with distributional dissipation. We show that this problem has a so-called very weak…

Analysis of PDEs · Mathematics 2017-05-04 Juan Carlos Munoz , Michael Ruzhansky , Niyaz Tokmagambetov

Interference of scattered waves is fundamental for modern light-scattering techniques, such as optical wavefront shaping. Recently, a new type of wavefront shaping was introduced where the extinction is manipulated instead of the scattered…

Optics · Physics 2021-11-04 Alfredo Rates , Ad Lagendijk , Ozan Akdemir , Allard P. Mosk , Willem L. Vos

Spin waves propagating in magnetic materials exhibit nonlinear behavior at large amplitudes due to the competition between excitation and relaxation, providing an attractive platform for exploring nonlinear wave dynamics. In particular,…

The existence of only a few bubbles could drastically reduce the acoustic wave speed in a liquid. Wood's equation models the linear sound speed, while the speed of an ideal shock waves is derived as a function of the pressure ratio across…

Fluid Dynamics · Physics 2023-08-22 Siew-Wan Ohl , Juan Manuel Rossello , Daniel Fuster , Claus-Dieter Ohl

We study the interference and diffraction of light when it propagates through a metamaterial medium mimicking the spacetime of a cosmic string, -- a topological defect with curvature singularity. The phenomenon may look like a gravitational…

Optics · Physics 2018-03-07 Isabel Fernández-Núñez , Oleg Bulashenko

The correspondence between the telegraph random process and transport within a binary stochastic Markovian mixture is established. This equivalence is used to derive the distribution function for the transit length, defined as the distance…

Mathematical Physics · Physics 2024-12-30 Brian C. Kiedrowski , Emily H. Vu

We analyze the propagation of gravitational waves in a medium containing bounded subsystems ("molecules"), able to induce significant Macroscopic Gravity effects. We establish a precise constitutive relation between the average quadrupole…

General Relativity and Quantum Cosmology · Physics 2019-07-26 Giovanni Montani , Fabio Moretti

Because the desire to explore opaque materials is ordinarily frustrated by multiple scattering of waves, attention has focused on the transmission matrix of the wave field. This matrix gives the fullest account of transmission and…

Optics · Physics 2015-02-13 Matthieu Davy , Zhou Shi , Jongchul Park , Chushun Tian , Azriel Z. Genack

We show that monochromatic long-crested corrugations on an otherwise flat seafloor can coherently scatter the energy of an oblique incident internal wave to multiple multi-directional higher-mode waves via a series of resonant interactions.…

Fluid Dynamics · Physics 2017-11-22 Louis-Alexandre Couston , Yong Liang , Mohammad-Reza Alam

This article considers the computational (acoustic) wave propagation in strongly heterogeneous structures beyond the assumption of periodicity. A high contrast between the constituents of microstructured multiphase materials can lead to…

Numerical Analysis · Mathematics 2020-01-29 Daniel Peterseim , Barbara Verfürth

Resonant transmission occurs when constructive interference results in the complete passage of an incoming wave through an array of barriers. In this paper we explore such a scenario with one dimensional models. We adopt wave packets with…

Quantum Physics · Physics 2023-10-11 A. M. Michalik , F. Marsiglio

Multiple scattering of polarised electromagnetic waves in diffusive media is investigated by means of radiative transfer theory. The method becomes exact in several situations of interest, such as a thick-slab experiment (slab thickness L…

Condensed Matter · Physics 2009-10-28 E. Amic , J. M. Luck , Th. M. Nieuwenhuizen

We experimentally demonstrate increased transmission of light through strongly scattering materials. Wavefront shaping is used to selectively couple light to the open transport channels in the material, resulting in an increase of up to 44%…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 I. M. Vellekoop , A. P. Mosk

Rapid advancements in the micro and nano-technology create unlimited opportunities for design of novel optical materials and their applications. Recently, the possibility of the fast refractive index modulation was demonstrated in…

Optics · Physics 2022-06-23 V. V. Prosentsov

We follow the trajectories of phase singularities at nulls of intensity in the speckle pattern of waves transmitted through random media as the frequency of the incident radiation is scanned in microwave experiments and numerical…

Disordered Systems and Neural Networks · Physics 2015-06-19 Xiaojun Cheng , Yitzchak Lockerman , Azriel Z. Genack

Radiation from a charged particle moving in a medium with Maxwell fish eye refraction index profile is considered. It is shown that the radiation spectrum has a discrete character. The main emitted wavelength is proportional to the…

Accelerator Physics · Physics 2020-12-07 Zhyrair Gevorkian , Mher Davtyan