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Integral expressions are determined for the elastic displacement and stress fields due to stationary or moving dislocation loops in three dimensional, not necessarily isotropic, finite samples. A line integral representation is found for…

Materials Science · Physics 2007-05-23 Rodrigo Arias , Fernando Lund

The matrix-vector wave equation is a compact first-order differential equation. It was originally used for the analysis of elastodynamic plane waves in laterally invariant media. It has been extended by various authors for laterally varying…

Applied Physics · Physics 2020-06-11 Kees Wapenaar

This paper concerns the inverse source problem for the time-harmonic wave equation in a one dimensional domain. The goal is to determine the source function from the boundary measurements. The problem is challenging due to complexity of the…

Analysis of PDEs · Mathematics 2020-04-08 Elham Sohrabi

The pointwise space-time behavior of the Green's function of the one-dimensional Vlasov-Maxwell-Boltzmann (VMB) system is studied in this paper. It is shown that the Green's function consists of the macroscopic diffusive waves and Huygens…

Analysis of PDEs · Mathematics 2023-10-02 Hai-Liang Li , Tong Yang , Mingying Zhong

Following on recent experimental characterization of the transport properties of stealth hyperuniform media for electromagnetic and acoustic waves, we report here measurements at ultrasonic frequencies of the multiple scattering of waves by…

Fluid Dynamics · Physics 2023-06-29 Ludovic Alhaïtz , Jean-Marc Conoir , Tony Valier-Brasier

The electroelastic 4 $\times$ 4 Green's function of a piezoelectric hexagonal (transversely isotropic) infinitely extended medium is calculated explicitly in closed compact form (eqs. (73) ff. and (88) ff., respectively) by using residue…

Mathematical Physics · Physics 2015-03-12 Thomas Michelitsch

We extend the theory of complete Bernstein functions to matrix-valued functions and apply it to analyze Green's function of an anisotropic multi-dimension\-al linear viscoelastic problem. Green's function is given by the superposition of…

Mathematical Physics · Physics 2015-07-02 Andrzej Hanyga

We present a rigorous electromagnetic method based on Green's second identity for studying the plasmonic response of graphene-coated wires of arbitrary shape. The wire is illuminated perpendicular to its axis by a monochromatic…

Optics · Physics 2017-05-24 Claudio Valencia , Máximo A. Riso , Mauro Cuevas , Ricardo A. Depine

We derive time reflection and transmission coefficients for 1D acoustic waves encountering a time boundary at which the properties of the medium change instantaneously. The time reflection and transmission coefficients are shown to be…

The pointwise space-time behavior of the Green's function of the three-dimensional modified Vlasov-Poisson-Boltzmann system is studied in this paper. It is shown that the Green's function has a decomposition of the macroscopic diffusive…

Analysis of PDEs · Mathematics 2026-04-16 Yanchao Li , Luobin Qiu , Mingying Zhong

The interaction of electrons with quantized phonons and photons underlies the ultrafast dynamics of systems ranging from molecules to solids, and it gives rise to a plethora of physical phenomena experimentally accessible using…

Strongly Correlated Electrons · Physics 2021-07-21 Daniel Karlsson , Robert van Leeuwen , Yaroslav Pavlyukh , Enrico Perfetto , Gianluca Stefanucci

The aim of this paper is to study the feasibility of time-reversal methods in a non homogeneous elastic medium, from data recorded in an acoustic medium. We aim to determine, from partial aperture boundary measurements, the presence and…

Numerical Analysis · Mathematics 2020-10-28 Franck Assous , Moshe Lin

In present article we consider the problems of concentrated point force which is moving with constant velocity and oscillating with cyclic frequency in unbounded homogeneous anisotropic elastic two-dimensional medium. The properties of…

Mathematical Physics · Physics 2009-11-10 G. Iovane , A. V. Nasedkin , M. Ciarletta

A general technique to analyze the classical interaction between ideal topological insulators, and electromagnetic sources and fields, has been previously elaborated. Nevertheless it is not immediately applicable in the laboratory as it…

Strongly Correlated Electrons · Physics 2016-10-26 Alberto Martín-Ruiz , Mauro Cambiaso , Luis F. Urrutia

We propose a new model to approximate the wave response of waveguides containing an arbitrary number of small inclusions. The theory is developed to consider any one-dimensional waveguide (longitudinal, flexural, shear, torsional waves or a…

Computational Physics · Physics 2024-05-07 Mario Lázaro , Richard Wiltshaw , Richard Vaughan Craster , Luis M. García-Raffi

The paper deals with the homogenization of deformable porous media saturated by two-component electrolytes. The model relevant to the microscopic scale describes steady states of the medium while reflecting essential physical phenomena,…

Computational Physics · Physics 2019-01-25 Jana Turjanicová , Eduard Rohan , Vladimír Lukeš

We present an experiment which aim is to investigate the mechanical properties of a static granular assembly. The piling is an horizontal 3D granular layer confined in a box, we apply a localized extra force at the surface and the spatial…

Condensed Matter · Physics 2016-08-15 Guillaume Reydellet , Eric Clément

In contrast to the traditional elastodynamic equations, a more comprehensive formulation of one dimensional (1D) elastodynamic equations is given for inhomogeneous media by using the coordinate transformation method. These modified…

Classical Physics · Physics 2018-03-23 Ruiwen Yao , Zhihai Xiang

We present an overview of electronic device modeling using non-equilibrium Green function techniques. The basic approach developed in the early 1970s has become increasingly popular during the last 10 years. The rise in popularity was…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roger K. Lake , Rajeev R. Pandey

At a transition in a wave-guiding structure, part of the incident energy is transmitted and part of the energy is reflected. When the waveguide has non-trivial topological properties, however, the transition may occur with no…

Optics · Physics 2018-08-20 S. Ali Hassani Gangaraj , F. Monticone