A hybrid curvilinear-rectangular FDTD method for the simulation of twisted pair bundles

While many classes of Finite-Difference Time-Domain (FDTD) algorithms have been developed since its introduction in 1966 for the rectangular and curvilinear coordinate systems, it was found that there still remains a large class of geometrically complex multi-object problems that are not efficiently solvable by either of the systems alone. This motivated the design of a hybrid rectangular-curvilinear FDTD method which would enable the simulation of such complex multi-object problems. The hybrid method was presented analytically and validated by comparing results against known values. It was then applied to the problem of multiple twisted pair transmission lines and the crosstalk effect was analyzed in time domain. The results were shown to be of great importance to the DSL community, where twisted pair transmission lines are the primary means of data distribution.