Search

We shall study in this paper the convergence rates of the Tikhonov regularized solutions for the recovery of the radiativities in elliptic and parabolic systems in general dimensional spaces. The conditional stability estimates are first derived. Due to the difficulty of the verification of the existing source conditions or nonlinearity conditions of the inverse radiativity problems in high dimensional spaces, some new variational source conditions are proposed. The conditions are rigorously verified in general dimensional spaces under the conditional stability estimates. We will also derive the reasonable convergence rates under the new source conditions, and the results reveal the explicit relation between the regularity of the radiativities and the convergence rates. [ABSTRACT FROM AUTHOR]

Compared with the metal antenna metasurface, the dielectric metasurface has better optical characteristics and smaller ohmic loss in the optical band, which makes it superior. An elliptical cylindrical nanostructured antenna is designed using GaP with excellent transmission characteristics in the visible band. This structure has a transmission efficiency of up to 0.96 in the visible light band. Based on the Pancharatnam–Berry (PB) phase control principle, the metasurface structure composed of the antennas is studied, and its abnormal refraction metasurface and focusing meta-lens are analyzed. It is a highly efficient sub-wavelength structure, and promises great potential for the applications of circular polarization optics, nanolithography, dense storage and biophotonics. [ABSTRACT FROM AUTHOR]