5 papers
Modal approximation for plasmonic resonators in the time domain: the scalar case
Lorenzo Baldassari, Pierre Millien, Alice L. Vanel
We study the electromagnetic field scattered by a metallic nanoparticle with dispersive material parameters in a resonant regime. We consider the particle placed in a homogeneous m…
Multi-scale classification for electro-sensing
Lorenzo Baldassari, Andrea Scapin
This paper introduces premier and innovative (real-time) multi-scale method for target classification in electro-sensing. The intent is that of mimicking the behavior of the weakly…
Reconstruction of a small acoustic inclusion via Time-dependent Polarization Tensors
Lorenzo Baldassari, Andrea Scapin
This paper aims at introducing the concept of time-dependent polarization tensors (TDPTs) for the wave equation associated to a diametrically small acoustic inclusion, with constit…
Time-Dependent Polarization Tensors: Derivation of Asymptotic Expansions for the Transient Wave Equation
Lorenzo Baldassari
This report aims at establishing a theoretical framework for dealing with the reconstruction problem of a small acoustic inclusion. The objective is to introduce the new concept of…
A straightforward proof of Carleman estimate for second order elliptic operator and a three sphere inequality
Lorenzo Baldassari, Sergio Vessella
In this paper we provide a simple proof of a Carleman estimate for a second order elliptic operator with Lipschitz leading coefficients. We apply such a Carleman estimate to de…