A Paralleling-in-Order Unconditionally Stable AH FDTD in Cylindrical Coordinates System

Abstract

The unconditionally stable associated Hermite (AH) finite-difference time domain (FDTD) with Mur's absorbing boundary condition is extended into the cylindrical coordinates system. With AH expansion and paralleling-in-order scheme, the time-domain Maxwell's equations in cylindrical coordinates are transformed to AH domain five-point equations. And, Ampere's law is applied to treat the central axis formulation by using the AH differential operator. The numerical results demonstrate a good accuracy and higher efficiency for the proposed method when compared with the conventional FDTD method.