A New Boundary Closure Scheme for the Multiresolution Time-Domain (MRTD) Method

This paper introduces a novel boundary closure treatment for the wavelet based multiresolution time-domain (MRTD) solution of Maxwell's equations. Accommodating non-trivial boundary conditions, such as the Robin condition or time dependent condition, has been a challenging issue in the MRTD analysis of wave scattering, radiation, and propagation. A matched interface and boundary (MIB) method is introduced to overcome this difficulty. Several numerical benchmark tests are carried out to validate the MIB boundary scheme. The proposed boundary treatment can also be applied to other high order finite-difference time-domain (FDTD) approaches, such as the dispersion-relation-preserving (DRP) method. The MIB boundary scheme greatly enhances the feasibility for applying the MRTD methods to more complicated electromagnetic structures.