An E-cient Algorithm for Combining Linear Lumped Networks with the FDTD Method

In this study, an e-cient approach is presented for processing two terminal networks consisting of arbitrary linear lumped elements into a single grid of FDTD (flnite difierence time domain) method. The relation of the node voltage to current of the networks can be expressed as a rational function (transfer function) in frequency domain. Field-updating equations and the rational function can be combined together into a new rational function since a single FDTD grid can be regarded as a Norton (or Thevenine) equivalent circuit. The proposed method is based on control theory and leads to an explicit e-cient updating algorithm. A six-order circuit terminated with a transmission line is simulated to demonstrate the accuracy and e-ciency of the proposed method. The simulation time of the proposed methods is about 30% less than a similar conflguration using the equivalent current source (ECSM) method. Simulation results agree well with data from the ECSM and Agilent's commercial software ADS.