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Related papers: Explicit secular equations for piezoacoustic surfa…

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Attention is given to surface waves of shear-horizontal modes in piezoelectric crystals permitting the decoupling between an elastic in-plane Rayleigh wave and a piezoacoustic anti-plane Bleustein-Gulyaev wave. Specifically, the crystals…

Soft Condensed Matter · Physics 2013-04-26 Bernard Collet , Michel Destrade

Rayleigh waves are considered for crystals possessing at least one plane of symmetry. The secular equation is established explicitly for surface waves propagating in any direction of the plane of symmetry, using two different methods. This…

Soft Condensed Matter · Physics 2013-05-17 Michel Destrade

Consider a layer made of a m3m insulator crystal, with faces cut parallel to a symmetry plane. Then bond it onto a semi-infinite mm2 piezoelectric substrate. For a X- or Y -cut of the substrate, a Love wave can propagate in the resulting…

Materials Science · Physics 2007-11-29 Bernard Collet , Michel Destrade

The propagation of surface acoustic waves in a rotating anisotropic crystal is studied. The crystal is monoclinic and cut along a plane containing the normal to the symmetry plane; this normal is also the axis of rotation. The secular…

Soft Condensed Matter · Physics 2013-04-26 Michel Destrade

The propagation of surface (Rayleigh) waves over a rotating orthorhombic crystal is studied. The crystal possesses three crystallographic axes, normal to the symmetry planes: the half-space is cut along a plane normal to one of these axes,…

Soft Condensed Matter · Physics 2013-04-25 Michel Destrade

The secular equation for surface acoustic waves propagating on a monoclinic elastic half-space is derived in a direct manner, using the method of first integrals. Although the motion is at first assumed to correspond to generalized plane…

Soft Condensed Matter · Physics 2013-05-31 Michel Destrade

Some relationships, fundamental to the resolution of interface wave problems, are presented. These equations allow for the derivation of explicit secular equations for problems involving waves localized near the plane boundary of…

Soft Condensed Matter · Physics 2013-04-24 Michel Destrade

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

The surface-impedance matrix method is used to study interfacial waves polarized in a plane of symmetry of anisotropic elastic materials. Although the corresponding Stroh polynomial is a quartic, it turns out to be analytically solvable in…

Soft Condensed Matter · Physics 2013-04-08 Michel Destrade , YiBin Fu

We investigate the propagation of a piezoelectric surface acoustic wave (SAW) across a GaAs/Al$_X$Ga$_{1-X}$As heterostructure surface, on which there is fixed a metallic split-gate. Our method is based on a finite element formulation of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Rahman , M. Kataoka , C. H. W. Barnes , H. P. Langtangen

The problem of an electromagnetic wave scattering by a slab with two rough boundaries is solved by a small-perturbation method under the Rayleigh hypothesis. In order to obtain a perturbative development, we use a systematic procedure which…

Condensed Matter · Physics 2009-11-07 A. Soubret , G. Berginc , C. Bourrely

Surface acoustic waves are commonly used in a variety of radio-frequency electrical devices as a result of their operation at high frequencies and robust nature. For devices based on Rayleigh-like plane waves, functionality is based on the…

Applied Physics · Physics 2024-11-05 Karanpreet Singh , Gabe Wilson , James A. H. Stotz

The existence of surface elastic waves at a mechanically free surface of granular phononic crystals is studied. The granular phononic crystals are made of spherical particles distributed periodically on a simple cubic lattice. It is assumed…

The aim of this Letter is to derive explicitly the secular equation for Scholte waves at the interface between a fluid and an anisotropic crystal cut along a plane containing the normal to a single symmetry plane, that is containing only…

Soft Condensed Matter · Physics 2013-04-26 Michel Destrade

By means of the offered analytical method the determinant relation for a phase velocities of elastic waves for an arbitrary propagation directions in a piezoelectric crystal are received. The phase velocities of three normal elastic waves…

General Physics · Physics 2010-07-27 A. A. Golubeva

Calculations of the radiative and phonon heat transfer between metals in an extreme near field in presence of electrostatic potential difference are given. Potential difference leads to a coupling between the radiation field and acoustic…

Mesoscale and Nanoscale Physics · Physics 2020-08-18 A. I. Volokitin

We study incremental wave propagation for what is seemingly the simplest boundary value problem, namely that constitued by the plane interface of a semi-infinite solid. With a view to model loaded elastomers and soft tissues, we focus on…

Materials Science · Physics 2007-12-04 Michel Destrade

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

Electromagnetic wave scattering from planar dielectric films deposited on one-dimensional, randomly rough, perfectly conducting substrates is studied by numerical simulations for both p- and s-polarization. The reduced Rayleigh equation,…

Condensed Matter · Physics 2024-03-25 I. Simonsen , A. A. Maradudin

The physical processes taking place at the surface and near the surface of solids is so rich and versatile that sometimes they seem to be the inexhaustible subject of fundamental research. In particular, since the discovery by Lord Rayleigh…

Materials Science · Physics 2017-07-19 Eugene A. Eliseev , Anna N. Morozovska , Maya D. Glinchuk , Sergei V. Kalinin
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