A hybrid method combining the FDTD and a time domain boundary-integral equation marching-on-in-time algorithm

[摘要] In this paper a hybrid method combiningthe FDTD/FIT with a Time Domain Boundary-IntegralMarching-on-in-Time Algorithm (TD-BIM) is presented. Inhomogeneousregions are modelled with the FIT-method, analternative formulation of the FDTD. Homogeneous regions(which is in the presented numerical example the open space)are modelled using a TD-BIM with equivalent electric andmagnetic currents flowing on the boundary between the inhomogeneousand the homogeneous regions. The regions arecoupled by the tangential magnetic fields just outside the inhomogeneousregions. These fields are calculated by makinguse of a Mixed Potential Integral Formulation for the magneticfield. The latter consists of equivalent electric and magneticcurrents on the boundary plane between the homogeneousand the inhomogeneous region. The magnetic currentsresult directly from the electric fields of the Yee lattice. Electriccurrents in the same plane are calculated by making useof the TD-BIM and using the electric field of the Yee latticeas boundary condition. The presented hybrid method onlyneeds the interpolations inherent in FIT and no additional interpolation.A numerical result is compared to a calculationthat models both regions with FDTD.

[学科分类] 电子、光学、磁材料