Raphael Assier

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The University of Manchester

United Kingdom

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Dr. Raphael Assier is a Reader at the University of Manchester, UK. His research primarily focuses on wave propagation in layered media, thermo-viscoelastic effects in material structures, and advanced mathematical theories of diffraction. His recent publications explore high-order homogenization techniques and the far-field asymptotics of various wave phenomena in periodic media.

Recent Grants

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Canonical Scattering Problems

Open Date: 2015-11-30

Close Date: 2017-11-29

Articles (20)

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2021

Collaborators (4)

Ian Thompson

University of Liverpool

UNITED KINGDOM

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William Parnell

The University of Manchester

UNITED KINGDOM

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Valerie J Pinfield

Professor

Loughborough University

UNITED KINGDOM

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Anastasia Kisil

The University of Manchester

UNITED KINGDOM

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Raphael Assier

Research Interests

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About

Recent Grants

Articles (20)

Effective mass density for wave propagation in layered media: a study of the elastic/acoustic transition

Stress relaxation and thermo-visco-elastic effects in fluid-filled slits and fluid-loaded plates

Propagation and non-reciprocity in time-modulated diffusion through the lens of high-order homogenization

High-Frequency Homogenization for Periodic Dispersive Media

Diffraction by a right-angled no-contrast penetrable wedge: recovery of far-field asymptotics

Double Floquet-Bloch transforms and the far-field asymptotics of Green's functions tailored to periodic structures

Double Floquet-Bloch transforms and the far-field asymptotics of Green’s functions tailored to periodic structures

A contribution to the mathematical theory of diffraction. Part II: Recovering the far-field asymptotics of the quarter-plane problem

High-order homogenisation of the time-modulated wave equation: non-reciprocity for a single varying parameter

Diffraction by a set of collinear cracks on a square lattice: An iterative Wiener–Hopf method

Diffraction of acoustic waves by multiple semi-infinite arrays

A unified framework for linear thermo-visco-elastic wave propagation including the effects of stress-relaxation

Array scattering resonance in the context of Foldy’s approximation

Diffraction by a Right-Angled No-Contrast Penetrable Wedge Revisited: A Double Wiener--Hopf Approach

Diffraction of Acoustic Waves by a Wedge of Point Scatterers

Manipulating thermal fields with inhomogeneous heat spreaders

Vertex Green’s Functions of a Quarter-Plane: Links Between the Functional Equation, Additive Crossing and Lamé Functions

Effective dynamics for low-amplitude transient elastic waves in a 1D periodic array of non-linear interfaces

A Surprising Observation in the Quarter-Plane Diffraction Problem

Analytical continuation of two-dimensional wave fields

Collaborators (4)

Ian Thompson

William Parnell

Valerie J Pinfield

Anastasia Kisil

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