2 papers
math.AP2026
Non-singular hotspots between closely spaced high-index nanoparticles
Konstantinos Alexopoulos, Bryn Davies, Pierre Millien
We study the concentration of the field between two nearly touching high-index dielectric resonators in three dimensions. The model is a scalar Helmholtz transmission problem in th…
math.AP2025
Probing the speckle to estimate the effective speed of sound, a first step towards quantitative ultrasound imaging
Josselin Garnier, Laure Giovangigli, Quentin Goepfert +1
In this paper, we present a mathematical model and analysis for a new experimental method [Bureau and al., arXiv:2409.13901, 2024] for effective sound velocity estimation in medica…