One-Step Leapfrog ADI-FDTD Method in 3-D Cylindrical Grids With a CPML Implementation

Author

Yi-Gang Wang ; Bin Chen ; Hai-Lin Chen ; Yun Yi ; Xin-Li Kong

Author_Institution

Nat. Key Lab. on Electromagn. Environ. Effects & Electro-Opt. Eng., PLA Univ. of Sci. & Technol., Nanjing, China

Volume

13

fYear

2014

fDate

2014

Firstpage

714

Lastpage

717

Abstract

A three-dimensional (3-D) unconditionally stable one-step leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method in the cylindrical coordinate system is presented. It is more computationally efficient while preserving the properties of the two-step scheme. By reusing the auxiliary variable, it also uses less memory than the two-step scheme. In contrast with the one-step leapfrog ADI-FDTD method in the Cartesian coordinate system, some implicit equations of the one-step leapfrog ADI-FDTD method in the cylindrical coordinate system are not tridiagonal equations. The Sherman Morrison formula is used to solve them efficiently. To solve open region problems, convolutional perfectly matched layer (CPML) for the one-step leapfrog scheme is proposed. Numerical results are presented to validate them.

Keywords

computational electromagnetics; finite difference time-domain analysis; stability; 3D cylindrical grids; Cartesian coordinate system; Sherman Morrison formula; alternating direction implicit finite difference time-domain; convolutional perfectly matched layer; cylindrical coordinate system; one-step leapfrog ADI-FDTD Method; unconditionally stability; Cavity resonators; Equations; Finite difference methods; Microwave theory and techniques; Reflection; Time-domain analysis; Wireless sensor networks; Alternating-direction-implicit (ADI) method; cylindrical coordinate system; one-step leapfrog; unconditional stability;

fLanguage

English

Journal_Title

Antennas and Wireless Propagation Letters, IEEE

Publisher

ieee

ISSN

1536-1225

Type

jour

DOI

10.1109/LAWP.2014.2315435

Filename

6782717