A novel nonuniform subgridding scheme for FDTD using an optimal interpolation technique

Abstract

Finite-Difference Time-Domain (FDTD) subgridding schemes can significantly improve efficiency of various electromagnetic circuit simulations. However, numerous subgridding schemes suffer from issues associated with stability, efficiency, and material traverse capability. These issues limit general applicability of FDTD subgrid-ding schemes to realistic problems. Herein, a robust nonuniform sub-gridding scheme is presented that overcomes those weaknesses. The scheme improves simulation accuracy with the aid of greatly increased stability margin and an optimal interpolation technique. It also im-proves simulation efficiency by allowing the use of time step factors as close as the Courant-Friedrichs-Lewy (CFL) limit. In addition, late-time stability and general applicability are verified through practical microstrip circuit simulation examples.