Shape reconstructions by using plasmon resonances

We study the shape reconstruction of an inclusion from faraway measurement associated electric field. This is inverse problem practical importance in biomedical imaging and known to be notoriously ill-posed. By incorporating Drude’s model permittivity parameter, we propose a novel scheme by using plasmon resonance with significantly enhanced resonant conduct delicate sensitivity analysis establish sharp relationship between resonance. It shown that when occurs, functional blows up hence ensures more robust effective construction. Then combine Tikhonov regularization Laplace approximation solve problem, which organic hybridization deterministic stochastic methods can quickly calculate minimizer while capture uncertainty solution. extensive numerical experiments illustrate promising features proposed scheme.