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It is proved that elliptically-polarized finite-amplitude inhomogeneous plane waves may not propagate in an isotropic elastic material subject to the constraint of incompressibility. The waves considered are harmonic in time and…

Soft Condensed Matter · Physics 2013-06-04 Michel Destrade

The propagation of electromagnetic waves in isotropic dielectric media with local dispersion is studied under the assumption of small but nonvanishing $\lambda/l$, where $\lambda$ is the wavelength, and $l$ is the characteristic…

Optics · Physics 2015-10-07 D. E. Ruiz , I. Y. Dodin

In this work, we experimentally and numerically investigate the propagation and attenuation of vertically polarized surface waves in an unconsolidated granular medium equipped with small-scale metabarriers of different depths, i.e., arrays…

We analyze the inverse spectral problem on the half line associated with elastic surface waves. Here, we extend the treatment of Love waves [arXiv: 1908.10529] to Rayleigh waves. Under certain conditions, and assuming that the Poisson ratio…

Analysis of PDEs · Mathematics 2019-09-02 Maarten V. de Hoop , Alexei Iantchenko , Robert D. van der Hilst , Jian Zhai

We describe the evolution of a paraxial electromagnetic wave characterizing by a non-uniform polarization distribution with singularities and propagating in a weakly anisotropic medium. Our approach is based on the Stokes vector evolution…

Optics · Physics 2009-11-13 K. Yu. Bliokh , A. Niv , V. Kleiner , E. Hasman

We present the results of an experimental investigation on parametrically driven waves in a water half-cylinder on a rigid horizontal plate, which is sinusoidally vibrated in the vertical direction. As the forcing amplitude is raised above…

Fluid Dynamics · Physics 2020-01-17 Dilip Kumar Maity , Krishna Kumar , Sugata Pratik Khastgir

The orientational dynamics of inertialess anisotropic particles transported by two-dimensional convective turbulent flows display a coexistence of regular and chaotic features. We numerically demonstrate that very elongated particles (rods)…

Soft Condensed Matter · Physics 2020-03-10 Enrico Calzavarini , Linfeng Jiang , Chao Sun

In current scientific and technological scenario, studies of transmittance of surface waves across structured interfaces have gained some wind amidst applications to metasurfaces, electronic edge-waves, crystal grain boundaries, etc. The…

Classical Physics · Physics 2023-09-18 Basant Lal Sharma

We present a comprehensive analysis of wavenumber resonances or leaky modes associated with the Rayleigh operator in a half space containing a heterogeneous slab, being motivated by seismology. To this end, we introduce Jost solutions on an…

Spectral Theory · Mathematics 2024-01-15 Maarten V. de Hoop , Alexei Iantchenko

We investigate the propagation of Love waves in an isotropic half-space modelled as a linear {elastic isotropic} Cosserat material. To this aim, we show that a method commonly used to study Rayleigh wave propagation is also applicable to…

Analysis of PDEs · Mathematics 2025-09-12 Marius Apetrii , Emilian Bulgariu , Ionel-Dumitrel Ghiba , Hassam Khan , Patrizio Neff

The impact of a turbulent flow on wind-driven oceanic near-inertial waves is examined using a linearised shallow-water model of the mixed layer. Modelling the flow as a homogeneous and stationary random process with spatial scales…

Atmospheric and Oceanic Physics · Physics 2016-07-20 Eric Danioux , Jacques Vanneste

An isotropic elastic half space is prestrained so that two of the principal axes of strain lie in the bounding plane, which itself remains free of traction. The material is subject to an isotropic constraint of arbitrary nature. A surface…

Soft Condensed Matter · Physics 2013-04-26 Michel Destrade , Nigel H. Scott

We study coupled acoustic and plasma waves in piezoelectric semiconductor crystals of hexagonal symmetry. We focus on the so called shear-horizontal or antiplane motions with one mechanical displacement. A set of two dimensional equations…

Materials Science · Physics 2025-02-12 Qingguo Xia , Jianke Dua , Jiashi Yangb

We investigate the reflection and refraction behaviors of electromagnetic waves at the interface between an isotropic material and the anisotropic medium with a unique dispersion relation. We show that the refraction angle of whether phase…

Optics · Physics 2009-11-11 Weixing Shu , Hailu Luo , Fei Li , Zhongzhou Ren

We discuss the propagation of surface waves in an isotropic half space modelled with the linear Cosserat theory of isotropic elastic materials. To this aim we use a method based on the algebraic analysis of the surface impedance matrix and…

Analysis of PDEs · Mathematics 2022-02-02 Hassam Khan , Ionel-Dumitrel Ghiba , Angela Madeo , Patrizio Neff

Small amplitude inhomogeneous plane waves are studied as they propagate on the free surface of a predeformed semi-infinite body made of Bell constrained material. The predeformation corresponds to a finite static pure homogeneous strain.…

Soft Condensed Matter · Physics 2013-05-01 Michel Destrade

Seismic attenuation in granular porous media is of paramount importance in rock physics and seismology. Unlike sandstones, shales are mixtures of sand grains and clays with extremely low porosity and permeability. Swelling of clays upon…

Disordered Systems and Neural Networks · Physics 2023-01-03 Hao Zhou , Xiaoping Jia , Li-Yun Fu , Arnaud Tourin

Extremal elastic materials here refer to a specific class of elastic materials whose elastic matrices exhibit one or more zero eigenvalues, resulting in soft deformation modes that, in principle, cost no energy. They can be approximated…

Classical Physics · Physics 2024-09-09 Yu Wei , Yi Chen , Wen Cheng , Xiaoning Liu , Gengkai Hu

The statistical geometry of dispersing Lagrangian clusters of four particles (tetrahedra) is studied by means of high-resolution direct numerical simulations of three-dimensional homogeneous isotropic turbulence. We give the first evidence…

Chaotic Dynamics · Physics 2016-09-08 L. Biferale , G. Boffetta , A. Celani , B. Devenish , A. Lanotte , F. Toschi

A new simple method to measure the spatial distribution of the electric field in the plasma sheath is proposed. The method is based on the experimental investigation of vertical oscillations of a single particle in the sheath of a…

Chaotic Dynamics · Physics 2009-11-07 A. V. Ivlev , R. Sütterlin , V. Steinberg , M. Zuzic , G. Morfill