Title :
An unconditionally stable LOD-FDTD method in cylindrical coordinates
Author :
Zhang, Hua ; Zhou, Yonggang
Author_Institution :
Coll. of Electron. & Inf. Eng., Nanjing Univ. of Aeronaut. & Astronaut., Nanjing, China
Abstract :
In this paper, an unconditionally stable locally-one-dimensional finite difference time domain (LOD-FDTD) method for simulating cylindrical structures is proposed. The algorithm of the three-dimensional LOD-FDTD in cylindrical coordinates is presented. In difference from its counterpart in the Cartesian coordinates, the cylindrical LOD-FDTD algorithm has to accommodate the numerical singularity associated with the polar axis. In the proposed algorithm, the regularization of the numerical singularity problem is based on Ampere´s law. A metallic cylindrical cavity is modeling with the proposed cylindrical LOD-FDTD and conventional cylindrical FDTD respectively. The results demonstrate, when large time-step is used, the proposed cylindrical LOD-FDTD has higher computation efficiency than conventional cylindrical FDTD.
Keywords :
cavity resonators; electromagnetic wave propagation; finite difference time-domain analysis; Ampere law; Cartesian coordinates; cylindrical coordinates; cylindrical structures; locally-one-dimensional finite difference time domain method; metallic cylindrical cavity; numerical singularity; polar axis; unconditionally stable LOD-FDTD method; Cavity resonators; Equations; Finite difference methods; Mathematical model; Microwave antennas; Microwave theory and techniques; Time domain analysis;
Conference_Titel :
Microwave and Millimeter Wave Technology (ICMMT), 2012 International Conference on
Conference_Location :
Shenzhen
Print_ISBN :
978-1-4673-2184-6
DOI :
10.1109/ICMMT.2012.6230140
