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The diffraction of a scalar plane wave from a doubly-periodic surface on which either the Dirichlet or Neumann boundary condition is imposed is studied by means of a rigorous numerical solution of the Rayleigh equation for the amplitudes of…

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…

偏微分方程分析 · 数学 2025-09-12 Marius Apetrii , Emilian Bulgariu , Ionel-Dumitrel Ghiba , Hassam Khan , Patrizio Neff

Surface acoustic waves have emerged as one of the potential candidates for the development of next-generation wave-based information and computing technologies. For practical devices, it is essential to develop the excitation techniques for…

Ceramic solid solutions of PbZr(1-x)TixO3 (PZT) with compositions of about x= 0.50 are well-known for their extraordinarily large piezoelectric responses. The latter are highly anisotropic, and it was recently shown that, for the…

材料科学 · 物理学 2007-05-23 B. Noheda , D. E. Cox

A Rayleigh wave is a type of surface wave that propagates in the boundary of an elastic solid with traction (or Neumann) boundary conditions. Since the 1980s much work has been done on the problem of constructing a leading term in an…

偏微分方程分析 · 数学 2018-01-03 Aric Wheeler , Mark Williams

A formalism is introduced for the non-perturbative, purely numerical, solution of the reduced Rayleigh equation for the scattering of light from two-dimensional penetrable rough surfaces. As an example, we apply this formalism to study the…

光学 · 物理学 2012-05-03 Tor Nordam , Paul Anton Letnes , Ingve Simonsen

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…

偏微分方程分析 · 数学 2022-02-02 Hassam Khan , Ionel-Dumitrel Ghiba , Angela Madeo , Patrizio Neff

Starting from the general modal solutions for a homogeneous layer of arbitrary material and crystalline symmetry, a matrix formalism is developed to establish the semi analytical expressions of the surface impedance matrices (SIM) for a…

经典物理 · 物理学 2008-11-25 Victor Y. Zhang , Bertrand Dubus , Bernard Collet , Michel Destrade

The Stroh formalism is applied to the analysis of infinitesimal surface wave propagation in a statically, finitely and homogeneously deformed isotropic half-space. The free surface is assumed to coincide with one of the principal planes of…

软凝聚态物质 · 物理学 2013-04-24 Michel Destrade , Melanie Ottenio , Alexey V. Pichugin , Graham A. Rogerson

We discuss how classical electromagnetic techniques are useful to describe optical effects in conventional and chiral dielectric systems endowed with optical activity. Starting from the Maxwell equations and constitutive relations of the…

光学 · 物理学 2024-06-13 Pedro D. S. Silva , Manoel M. Ferreira

The path-following scheme in [Loisel and Maxwell, SIAM J. Matrix Anal. Appl., 39-4 (2018), pp. 1726-1749] is adapted to efficiently calculate the dispersion relation curve for linear surface waves on an arbitrary vertical shear current.…

数值分析 · 数学 2019-05-09 Peter Maxwell , Simen Å Ellingsen

The origin of the very large piezoelectric response observed in the vicinity of the morphotropic phase boundary (MPB) in perovskite lead zirconate titanate and related systems has been under intensive studies. Polarization rotation ideas…

材料科学 · 物理学 2009-11-13 Johannes Frantti , Yukari Fujioka , Risto M. Nieminen

The Rayleigh criterion determines the resolution limit of a periodogram, which is the minimum frequency separation required to barely resolve two sinusoids. Failing to consider the Rayleigh criterion may result in incorrect interpretations…

天体物理仪器与方法 · 物理学 2025-08-27 V. Ramirez Delgado , J. S. Caicedo Vivas , S. Dodson-Robinson , C. Haley

The duality approach in 2-{\it dim} two-component regular checkerboards was extended onto piezoelectricity and piezomagnetism problems. There are found a relation for effective piezoelectric and piezomagnetic modules for the checkerboard…

凝聚态物理 · 物理学 2007-05-23 Leonid G. Fel

We present a numerical method which is able to approximate traveling waves (e.g. viscous profiles) in systems with hyperbolic and parabolic parts by a direct long-time forward simulation. A difficulty with long-time simulations of traveling…

数值分析 · 数学 2016-12-01 Robin Flohr , Jens Rottmann-Matthes

Surface acoustic waves in two-dimensional phononic crystals consisting of a square array of shallow, two to three micron deep cylindrical void inclusions are studied computationally via the finite element method. For the [110] propagation…

应用物理 · 物理学 2019-07-24 Edward Muzar , James A. H. Stotz

This work is devoted to the analysis of high frequency solutions to the equations of nonlinear elasticity in a half-space. We consider surface waves (or more precisely, Rayleigh waves) arising in the general class of isotropic hyperelastic…

偏微分方程分析 · 数学 2016-04-18 Jean-Francois Coulombel , Mark Williams

Piezoelectric crystals are widely used for acoustic wave resonators of different functioning modes and types including BAW and SAW. It is well-known that only some special orientations of crystals will exhibit desirable properties such as…

材料科学 · 物理学 2017-12-27 J. Wang , L. M. Zhang , S. Y. Wang , L. T. Xie , B. Huang , T. F. Ma , J. K. Du , M. C. Chao , S. Shen , R. X. Wu , H. F. Zhang

Radiation of charged particles passing through a set of equidistant ridges on the surface of a single crystal is calculated. The ridges are rectangular in shape, each of thickness of half of the particle trajectory period at planar…

加速器物理 · 物理学 2019-10-18 V. Epp , J. G. Janz , V. V. Kaplin

In some anisotropic bulk media (for example, biaxial weakly absorbing crystals) there are special directions along which the plane wave field distribution has a singular profile of the form $\propto (\mathbf{n} \mathbf{r}) \exp(i q…

光学 · 物理学 2025-04-29 K. Yu. Golenitskii , N. S. Averkiev