Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Assier, Raphael"'
Motivated by research in metamaterials, we consider the challenging problem of acoustic wave scattering by a doubly periodic quadrant of sound-soft scatterers arranged in a square formation, which we have dubbed the quarter lattice. This leads to a W
Externí odkaz:
http://arxiv.org/abs/2410.23647
The homogenization procedure developed here is conducted on a laminate with periodic space-time modulation on the fine scale: at leading order, this modulation creates convection in the low-wavelength regime if both parameters are modulated. However,
Externí odkaz:
http://arxiv.org/abs/2407.08456
In this paper, we theoretically analyse wave propagation in two canonical problems of interest: fluid-filled thermo-visco-elastic slits and fluid-loaded thermo-visco-elastic plates. We show that these two configurations can be studied via the same pa
Externí odkaz:
http://arxiv.org/abs/2403.11089
The diffraction of a time-harmonic plane wave on collinear finite defects in a square lattice is studied. This problem is reduced to a matrix Wiener-Hopf equation. This work adapts the recently developed iterative Wiener-Hopf method to this situation
Externí odkaz:
http://arxiv.org/abs/2402.15799
We propose a general procedure to study double integrals arising when considering wave propagation in periodic structures. This method, based on a complex deformation of the integration surface to bypass the integrands' singularities, is particularly
Externí odkaz:
http://arxiv.org/abs/2402.08076
Autor:
Kunz, Valentin D., Assier, Raphael C.
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 penetrable wedge. To achieve this, we employ a two-complex-variable framework
Externí odkaz:
http://arxiv.org/abs/2310.19892
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 as a double Fourier transform of an unknown spectral function. We make
Externí odkaz:
http://arxiv.org/abs/2310.18031
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 of low frequency homogenisation, it was so far only possible to obtai
Externí odkaz:
http://arxiv.org/abs/2311.10096
High-frequency homogenization is used to study dispersive media, containing inclusions placed periodically, for which the properties of the material depend on the frequency (Lorentz or Drude model with damping, for example). Effective properties are
Externí odkaz:
http://arxiv.org/abs/2308.08559
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 sharp transitions in boundary conditions on a plane/plate. However, there
Externí odkaz:
http://arxiv.org/abs/2306.17657