Spectral analysis of scattering resonances with application on high-contrast nanospheres

In this paper, we provide further spectral analysis of the general asymptotic scattering resonances formula small 3D dielectrics arbitrary shape with high contrast, already derived in other works to a first-order approximation. To investigate components full expansion such resonances, breakdown is presented for case high-contrast nanospheres, terms its radius h interval [0, 1]. We also derive, radially symmetric fields, an exact resonance spherical scatterer radius, not necessarily small, and dielectric susceptibility coefficient, high. This developed simplified contrast nanospheres. Such formulas are useful imaging applications identify objects’ properties from frequency measurements. Another application study negative refractive index materials, as metamaterials, anomalous localized phenomenon (ALR) that associated cloaking superlensing.