Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Bonnetier, Éric"'
We study composite assemblages of dielectrics and metamaterials with respectively positive and negative material parameters. In the continuum case, for a scalar equation, such media may exhibit so-called plasmonic resonances for certain values of the
Externí odkaz:
http://arxiv.org/abs/2407.06661
We investigate the radiating resonances for the Helmholtz equation in the two dimensional space in the presence of an unbounded waveguide with a high contrast index of refraction. Using a suitable asymptotic analysis of the Green's function of the pr
Externí odkaz:
http://arxiv.org/abs/2311.00132
The aim of this work is to present theoretical tools to study wave propagation in elastic waveguides and perform multi-frequency scattering inversion to reconstruct small shape defects in a 2D and 3D elastic plate. Given surface multi-frequency wavef
Externí odkaz:
http://arxiv.org/abs/2210.01899
In this work we investigate a 1D evolution equation involving a divergence form operator where the diffusion coefficient inside the divergence is changing sign, as in models for metamaterials.We focus on the construction of a fundamental solution for
Externí odkaz:
http://arxiv.org/abs/2206.03107
This article aims to present a general study of the Helmholtz problem in slowly varying waveguides. This work is of particular interest at locally resonant frequencies, where a phenomenon close to the tunnel effect for Schr\"odinger equation in quant
Externí odkaz:
http://arxiv.org/abs/2202.08179
Publikováno v:
Inverse Problems & Imaging, 2022, 16 (2) : 417-450
Localization and reconstruction of small defects in acoustic or electromagnetic waveguides is of crucial interest in nondestructive evaluation of structures. The aim of this work is to present a new multi-frequency inversion method to reconstruct sma
Externí odkaz:
http://arxiv.org/abs/2202.08168
This paper is devoted to the robust approximation with a variational phase field approach of multiphase mean curvature flows with possibly highly contrasted mobilities. The case of harmonically additive mobilities has been addressed recently using a
Externí odkaz:
http://arxiv.org/abs/2110.01340
In this article, we study the impact of a change in the type of boundary conditions of an elliptic boundary value problem. In the context of the conductivity equation we consider a reference problem with mixed homogeneous Dirichlet and Neumann bounda
Externí odkaz:
http://arxiv.org/abs/2106.07407
Autor:
Bonnetier, Eric, Gaete, Sergio, Jofre, Alejandro, Lecaros, Rodrigo, Montecinos, Gino, Ortega, Jaime H., Ramirez-Ganga, Javier, Martin, Jorge San
Block caving is an ore extraction technique used in the copper mines of Chile. It uses gravity to ease the breaking of rocks, and to facilitate the extraction from the mine of the resulting mixture of ore and waste. To simulate this extraction proces
Externí odkaz:
http://arxiv.org/abs/2012.11118
This paper is concerned with the stability issue in determining absorption and diffusion coefficients in quantitative photoacoustic imaging. Assuming that the optical wave is generated by point sources in a region where the optical coefficients are k
Externí odkaz:
http://arxiv.org/abs/1905.07914