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The numerical analysis of elastic wave propagation in unbounded media may be difficult to handle due to spurious waves reflected at the model artificial boundaries. Several sophisticated techniques such as nonreflecting boundary conditions,…

Classical Physics · Physics 2010-09-06 Jean-François Semblat , Ali Gandomzadeh , Luca Lenti

We calculate the ``seeing'' effect on distant sources due to a gravitational wave background. We derive the limit in strain and energy density of the gravitational wave based on the limit of detectability of this effect with the present day…

Astrophysics · Physics 2007-05-23 Francine Marleau , Glenn Starkman

We derive accurate formulas for thermal fluctuations in multilayer interferometric coating taking into account light propagation inside the coating. In particular, we calculate the reflected wave phase as a function of small displacements…

General Relativity and Quantum Cosmology · Physics 2010-05-19 Alexey Gurkovsky , Sergey Vyatchanin

Motivated by numerically modeling surface waves for inviscid Euler equations, we analyze linear models for damped water waves and establish decay properties for the energy for sufficiently regular initial configurations. Our findings give…

Analysis of PDEs · Mathematics 2023-08-21 Thomas Alazard , Jeremy L. Marzuola , Jian Wang

Mechanical resonators with high quality factors are of relevance in precision experiments, ranging from gravitational wave detection and force sensing to quantum optomechanics. Beams and membranes are well known to exhibit flexural modes…

The diffraction of a plane wave by a transversely inhomogeneous isotropic nonmagnetic linearly polarized dielectric layer filled with a Kerr-type nonlinear medium is considered. The analytical and numerical solution techniques are…

Analysis of PDEs · Mathematics 2009-10-13 Yury Shestopalov , Vasil Yatsyk

We study the behavior of shallow water waves propagating over bathymetry that varies periodically in one direction and is constant in the other. Plane waves traveling along the constant direction are known to evolve into solitary waves, due…

Analysis of PDEs · Mathematics 2025-05-21 David I. Ketcheson , Giovanni Russo

Energy distributions of high frequency linear wave fields are often modelled in terms of flow or transport equations with ray dynamics given by a Hamiltonian vector field in phase space. Applications arise in underwater and room acoustics,…

Computational Physics · Physics 2014-08-12 David Chappell , Gregor Tanner , Niels Sondergaard , Dominik Loechel

This letter presents the development of ultrasonic coda wave interferometry to locate and image microcracks created within consolidated granular media, polymer concrete. Results show that microcracks can be detected through coda waves when…

Materials Science · Physics 2016-02-09 S. Toumi , C. Mechri , M. Bentahar , F. Boubenider , R. El Guerjouma

Values of water permeability for cementitious materials reported in the literature show a large scatter. This is partially attributed to the fact that materials used in different studies are different. To eliminate the effects of cements,…

Applied Physics · Physics 2018-10-23 Zhidong Zhang , George Scherer

We experimentally and computationally analyze impact-shock-induced stress wave propagation in packings of disordered flexible fibers. We find that dispersive wave propagation, associated with large stress attenuation, occurs much more…

Soft Condensed Matter · Physics 2025-02-04 Peng Wang , Thomas Pähtz , Kun Luo , Yu Guo

We present a method to estimate dense depth by optimizing a sparse set of points such that their diffusion into a depth map minimizes a multi-view reprojection error from RGB supervision. We optimize point positions, depths, and weights…

Computer Vision and Pattern Recognition · Computer Science 2021-06-30 Numair Khan , Min H. Kim , James Tompkin

We consider the fundamental solution to the wave equation on a manifold with corners of arbitrary codimension. If the initial pole of the solution is appropriately situated, we show that the singularities which are diffracted by the corners…

Analysis of PDEs · Mathematics 2011-05-09 Richard Melrose , Andras Vasy , Jared Wunsch

This article investigates the velocity dispersion and the spurious reflection of the viscoelastic wave that occur in the numerical integration of the viscoelastic wave equation. For this purpose, the classic finite element of two nodes,…

Numerical Analysis · Mathematics 2020-06-03 José Elias Laier

Large arrays of wave-absorbing structures could serve the double objective of coastal protection against erosion and clean, renewable electrical power production. In this work, the principle of an artificial canopy is explored, which…

Atmospheric and Oceanic Physics · Physics 2021-12-02 Alexis Mérigaud , Benjamin Thiria , Ramiro Godoy-Diana

Flow in fractured porous media represents a challenge for discretization methods due to the disparate scales and complex geometry. Herein we propose a new discretization, based on the mixed finite element method and mortar methods. Our…

Numerical Analysis · Mathematics 2017-07-18 Wietse M. Boon , Jan M. Nordbotten , Ivan Yotov

The role of geometry on dispersive forces is investigated by calculating the energy between different spheroidal particles and planar surfaces, both with arbitrary dielectric properties. The energy is obtained in the non-retarded limit…

Quantum Physics · Physics 2007-05-23 C. E. Roman-Velazquez , C. Noguez

Energy transmission over long distances by waves is a key mechanism for many natural processes. This possibility arises when an inhomogeneous medium is arranged in such a manner that it enables a certain type of wave to propagate with…

Fluid Dynamics · Physics 2026-05-05 Semyon Churilov

The aim of this work is to make a further step towards the understanding of the near-critical reflection of internal gravity waves from a slope in the more general and realistic context where the size of viscosity $\nu$ and the size of…

Analysis of PDEs · Mathematics 2022-02-23 Roberta Bianchini , Gianluca Orrù

Optical probing of glaciers has the potential for tremendous impact on environmental science. However, glacier ice is turbid, which prohibits the use of most established optical measurements for determining a glacier's interior structure.…

Optics · Physics 2021-06-11 Markus Allgaier , Brian J. Smith