43 citations · 115 across the 26 of their papers we have counts for
5 papers · 1 filter
Diffraction by a right-angled no-contrast penetrable wedge: recovery of far-field asymptotics
Valentin D. Kunz, Raphael C. Assier
We provide a description of the far-field encountered in the diffraction problem resulting from the interaction of a monochromatic plane-wave and a right-angled no-contrast penetra…
A contribution to the mathematical theory of diffraction. Part II: Recovering the far-field asymptotics of the quarter-plane problem
Raphael C. Assier, Andrey V. Shanin, Andrey I. Korolkov
We apply the stationary phase method developed in (Assier, Shanin \& Korolkov, QJMAM, 76(1), 2022) to the problem of wave diffraction by a quarter-plane. The wave field is written…
High-order homogenisation of the time-modulated wave equation: non-reciprocity for a single varying parameter
Marie Touboul, Bruno Lombard, Raphaël Assier +2
Laminated media with material properties modulated in space and time in the form of travelling waves have long been known to exhibit non-reciprocity. However, when using the method…
High-frequency homogenization for periodic dispersive media
Marie Touboul, Benjamin Vial, Raphaël Assier +2
High-frequency homogenization is used to study dispersive media, containing inclusions placed periodically, for which the properties of the material depend on the frequency (Lorent…
Diffraction of acoustic waves by multiple semi-infinite arrays
Matthew Nethercote, Anastasia Kisil, Raphael Assier
Analytical methods are fundamental in studying acoustics problems. One of the important tools is the Wiener-Hopf method, which can be used to solve many canonical problems with sha…