Title :
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
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;
Journal_Title :
Antennas and Wireless Propagation Letters, IEEE
DOI :
10.1109/LAWP.2014.2315435
