Application of the Z-transform technique to modeling the linear lumped networks in the HIE-FDTD method

Abstract

In this work, a new lumped-network hybrid implicit–explicit finite-difference time-domain (LN-HIE-FDTD) method has been proposed. This method is derived from combining the 3D HIE-FDTD method with the Z-transform technique for the hybrid system including linear lumped networks. It possesses the advantage of deriving the updating equations immediately for complex circuits. The accuracy of the proposed method is verified from the comparison of calculated results given by the proposed method and the conventional lumped-network FDTD (LN-FDTD) method. The efficiency of the proposed method is verified from the comparison of the CPU time by the two methods. It is demonstrated that the proposed method is numerically efficient while time-saving.

Acknowledgment

This work was supported by the National Natural Science Foundation of China under Grant No. 60971063.