A proof that multiple waves propagate in ensemble-averaged particulate materials
DOI10.1098/rspa.2019.0344zbMath1472.74106arXiv1905.06996OpenAlexW2969568596WikidataQ90704329 ScholiaQ90704329MaRDI QIDQ5160774
I. David Abrahams, A. L. Gower, William J. Parnell
Publication date: 29 October 2021
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.06996
wave propagationrandom mediastatistical physicsmultiple scatteringacousticsensemble averagingbackscatteringWiener-Hopfwave motion
Bulk waves in solid mechanics (74J10) Composite and mixture properties (74E30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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Cites Work
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- Multiple scattering by random configurations of circular cylinders: weak scattering without closure assumptions
- Effective wavenumbers and reflection coefficients for an elastic medium containing random configurations of cylindrical scatterers
- Scattering of sound by two parallel semi-infinite screens
- One-dimensional reflection by a semi-infinite periodic row of scatterers
- A brief historical perspective of the Wiener-Hopf technique
- Constructive methods for factorization of matrix-functions
- Multiple point scattering to determine the effective wavenumber and effective material properties of an inhomogeneous slab
- Scattering by a semi-infinite lattice and the excitation of Bloch waves
- Acoustic diffraction from the junction of two flat plates
- Systems of integral equations on a half line with kernels depending on the difference of arguments
- Multiple Scattering by Multiple Spheres: A New Proof of the Lloyd--Berry Formula for the Effective Wavenumber
- General Wiener–Hopf Factorization of Matrix Kernels with Exponential Phase Factors
- Effective Properties of a Composite Half-Space: Exploring the Relationship Between Homogenization and Multiple-Scattering Theories
- On the Solution of Wiener--Hopf Problems Involving Noncommutative Matrix Kernel Decompositions
- The application of Padeapproximants to Wiener-Hopf factorization
- Reflection from a multi-species material and its transmitted effective wavenumber
- Localization in semi-infinite herringbone waveguides
- Algorithm 975
- An Iterative Wiener--Hopf Method for Triangular Matrix Functions with Exponential Factors
- A far-field based T-matrix method for two dimensional obstacle scattering
- Controlling Flexural Waves in Semi-Infinite Platonic Crystals with Resonator-Type Scatterers
- Multiple Waves Propagate in Random Particulate Materials
- On the commutative factorization of n × n matrix Wiener–Hopf kernels with distinct eigenvalues
- Multiple Scattering of Waves. II. ``Hole Corrections in the Scalar Case
- Multiple Scattering of Waves
- The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers
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