A 3-D conformal MRTD scheme for electromagnetic scattering problems including curved dielectric objects

In this paper, a new scaling functions integral conformal multiresolution time-domain (SFI-CMRTD) scheme based on Daubechies´ wavelets, which utilizes the locally conformal technology and concept of effective dielectric constant (EDC), and needs to integrate the scaling functions, is proposed and applied to solve three-dimensional (3-D) electromagnetic scattering problems containing curved dielectric objects. It is numerically demonstrated that the proposed SFI-CMRTD scheme can reduce the staircase error and effectively solve the invalidation of Maxwell´s curl equations on the mutation surfaces of dielectric.