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Super-resolution in recovering embedded electromagnetic sources in high contrast media
(2020)SAM Research ReportThe purpose of this work is to provide a rigorous mathematical analysis of the expected super-resolution phenomenon in the time-reversal imaging of electromagnetic (EM) radiating sources embedded in a high contrast medium. It is known that the resolution limit is essentially determined by the sharpness of the imaginary part of the EM Green's tensor for the associated background. We first establish the close connection between the resolution ...Report -
Mathematical analysis of electromagnetic scattering by dielectric nanoparticles with high refractive indices
(2020)SAM Research ReportIn this work, we are concerned with the mathematical modeling of the electromagnetic (EM) scattering by arbitrarily shaped non-magnetic nanoparticles with high refractive indices. When illuminated by visible light, these particles can exhibit a very strong isotropic magnetic response, in addition to the electric resonance, resulting from the coupling of the incident wave with the circular displacement currents of the EM fields. We shall ...Report