An Unconditionally Stable Cylindrical FDTD Method to Analyze the EM Ground Wave Propagation

Abstract

We extended the unconditionally stable associated Hermite (AH) FDTD method to the cylindrical coordinate system for analyzing the electromagnetic (EM) ground wave propagation. With AH domain differentiate operator technology and paralleling-in-order solution scheme, the cylindrical time-domain Maxwell equations with complex frequency shifted perfectly matched layer (CFS-PML) are transformed to AH domain generating a five-point banded equation, which also unified the formula from the central axis of cylinder. The numerical results represent the accuracy and efficiency of the proposed method when comparing for the conventional FDTD method.