[1] Zhao Jianing,. Improved absorbing boundary conditionbased on linear interpolation for ADI-FDTD method [J]. Journal of Southeast University (English Edition), 2009, 25 (3): 289-293. [doi:10.3969/j.issn.1003-7985.2009.03.001]

Copy

Improved absorbing boundary conditionbased on linear interpolation for ADI-FDTD method()

Share：

Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

25

Issue:

2009 3

Page:

289-293

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2009-09-30

Info

Title:

Improved absorbing boundary conditionbased on linear interpolation for ADI-FDTD method

Author(s):

Zhao Jianing

National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China

Keywords:

alternating-direction-implicit finite-difference time-domain(ADI-FDTD)method;  absorbing boundary condition(ABC);  linear interpolation;  phase velocity;  nonuniform cell

PACS:

O441.4;TN011

DOI:

10.3969/j.issn.1003-7985.2009.03.001

Abstract:

With the linear interpolation method, an improved absorbing boundary condition(ABC)is introduced and derived, which is suitable for the alternating-direction-implicit finite-difference time-domain(ADI-FDTD)method.The reflection of the ABC caused by both the truncated error and the phase velocity error is analyzed.Based on the phase velocity estimation and the nonuniform cell, two methods are studied and then adopted to improve the performance of the ABC.A calculation case of a rectangular waveguide which is a typical dispersive transmission line is carried out using the ADI-FDTD method with the improved ABC for evaluation.According to the calculated case, the comparison is given between the reflection coefficients of the ABC with and without the velocity estimation and also the comparison between the reflection coefficients of the ABC with and without the nonuniform processing.The reflection variation of the ABC under different time steps is also analyzed and the acceptable worsening will not obscure the improvement on the absorption.Numerical results obviously show that efficient improvement on the absorbing performance of the ABC is achieved based on these methods for the ADI-FDTD.

References:

[1] Yee K S.Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media [J].IEEE Transactions on Antennas and Propagation, 1966, 14(3):302-307.
[2] Taflove A, Hagness S C.Computational electrodynamics:the finite-difference time-domain method [M].Boston:Artech House, 2000.
[3] Zheng F, Chen Z, Zhang J.Toward the development of a three-dimensional unconditionally stable finite-difference time-domain method [J].IEEE Transactions on Microwave Theory and Techniques, 2000, 48(9):1550-1558.
[4] Namiki T.3-D ADI-FDTD method—unconditionally stable time domain algorithm for solving full vector Maxwell’s equations [J].IEEE Transactions on Microwave Theory and Techniques, 2000, 48(10):1743-1748.
[5] Mur G.Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic field equations [J].IEEE Transactions on Electromagnetic Compatibility, 1981, 23(11):377-382.
[6] Zhou J Y, Hong W.Construction of the absorbing boundary conditions for the FDTD method with transfer functions [J].IEEE Transactions on Microwave Theory and Techniques, 1998, 46(11):1807-1809.
[7] Shao Z H, Hong W, Zhou J Y.Generalized Z-domain absorbing boundary conditions for the analysis of electromagnetic problems with finite-difference time-domain method [J].IEEE Transactions on Microwave Theory and Techniques, 2003, 51(1):82-90.
[8] Berenger J P.A perfectly matched layer for absorption of electromagnetic waves [J].J Compu Phys, 1994, 114(10):185-200.
[9] Wang S, Teixeira F L.An efficient PML implementation for the ADI-FDTD method [J].IEEE Microwave and Wireless Component Letter, 2003, 13(2):72-74.
[10] Li J, Dai J.An efficient implementation of the stretched coordinate perfectly matched layer [J].IEEE Microwave and Wireless Component Letter, 2007, 17(5):322-324.
[11] Hwang J, Chen F C.Numerical performances of absorbing boundary conditions for ADI-FDTD method [C]//IEEE Antennas and Propagation Society International Symposium.New Mexico, USA, 2006:2723-2726.

Memo

Memo:

Biography: Zhao Jianing(1976—), female, doctor, lecturer, jnzhao@seu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.60702027), the Free Research Fund of the National Mobile Communications Research Laboratory of Southeast University(No.2008B07), the National Basic Research Program of China(973 Program)(No.2007CB310603).
Citation: Zhao Jianing.Improved absorbing boundary condition based on linear interpolation for ADI-FDTD method[J].Journal of Southeast University(English Edition), 2009, 25(3):289-293.

Common functions