Finite-difference time-domain modeling of curved material interfaces by using boundary condition equations method

doi:10.1088/1674-1056/25/9/090203

中国物理B ›› 2016, Vol. 25 ›› Issue (9): 90203-090203.doi: 10.1088/1674-1056/25/9/090203

Finite-difference time-domain modeling of curved material interfaces by using boundary condition equations method

Jia Lu(卢佳), Huaichun Zhou(周怀春)

Department of Thermal Engineering, Tsinghua University, Beijing 100084, China

收稿日期:2016-03-15 修回日期:2016-05-12 出版日期:2016-09-05 发布日期:2016-09-05
通讯作者: Huaichun Zhou E-mail:hczh@mail.tsinghua.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 51025622).

Finite-difference time-domain modeling of curved material interfaces by using boundary condition equations method

Jia Lu(卢佳), Huaichun Zhou(周怀春)

Department of Thermal Engineering, Tsinghua University, Beijing 100084, China

Received:2016-03-15 Revised:2016-05-12 Online:2016-09-05 Published:2016-09-05
Contact: Huaichun Zhou E-mail:hczh@mail.tsinghua.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 51025622).

摘要/Abstract

摘要： To deal with the staircase approximation problem in the standard finite-difference time-domain (FDTD) simulation, the two-dimensional boundary condition equations (BCE) method is proposed in this paper. In the BCE method, the standard FDTD algorithm can be used as usual, and the curved surface is treated by adding the boundary condition equations. Thus, while maintaining the simplicity and computational efficiency of the standard FDTD algorithm, the BCE method can solve the staircase approximation problem. The BCE method is validated by analyzing near field and far field scattering properties of the PEC and dielectric cylinders. The results show that the BCE method can maintain a second-order accuracy by eliminating the staircase approximation errors. Moreover, the results of the BCE method show good accuracy for cylinder scattering cases with different permittivities.

关键词: finite-difference time-domain, curved surface, staircase error, boundary condition equation

Abstract: To deal with the staircase approximation problem in the standard finite-difference time-domain (FDTD) simulation, the two-dimensional boundary condition equations (BCE) method is proposed in this paper. In the BCE method, the standard FDTD algorithm can be used as usual, and the curved surface is treated by adding the boundary condition equations. Thus, while maintaining the simplicity and computational efficiency of the standard FDTD algorithm, the BCE method can solve the staircase approximation problem. The BCE method is validated by analyzing near field and far field scattering properties of the PEC and dielectric cylinders. The results show that the BCE method can maintain a second-order accuracy by eliminating the staircase approximation errors. Moreover, the results of the BCE method show good accuracy for cylinder scattering cases with different permittivities.

Key words: finite-difference time-domain, curved surface, staircase error, boundary condition equation

中图分类号: (Numerical approximation and analysis)

02.60.-x

02.70.-c (Computational techniques; simulations) 41.20.Jb (Electromagnetic wave propagation; radiowave propagation) 46.15.-x (Computational methods in continuum mechanics)

卢佳, 周怀春. Finite-difference time-domain modeling of curved material interfaces by using boundary condition equations method[J]. 中国物理B, 2016, 25(9): 90203-090203.

Jia Lu(卢佳), Huaichun Zhou(周怀春). Finite-difference time-domain modeling of curved material interfaces by using boundary condition equations method[J]. Chin. Phys. B, 2016, 25(9): 90203-090203.

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Finite-difference time-domain modeling of curved material interfaces by using boundary condition equations method

Finite-difference time-domain modeling of curved material interfaces by using boundary condition equations method

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