An efficient locally one-dimensional finite-difference time-domain method based on the conformal scheme

doi:10.1088/1674-1056/24/7/070203

中国物理B ›› 2015, Vol. 24 ›› Issue (7): 70203-070203.doi: 10.1088/1674-1056/24/7/070203

An efficient locally one-dimensional finite-difference time-domain method based on the conformal scheme

魏晓琨^a, 邵维^a, 石胜兵^a, 张勇^b, 王秉中^a

a School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054, China;
b School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 610054, China

收稿日期:2014-10-27 修回日期:2015-02-23 出版日期:2015-07-05 发布日期:2015-07-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61331007 and 61471105).

An efficient locally one-dimensional finite-difference time-domain method based on the conformal scheme

Wei Xiao-Kun (魏晓琨)^a, Shao Wei (邵维)^a, Shi Sheng-Bing (石胜兵)^a, Zhang Yong (张勇)^b, Wang Bing-Zhong (王秉中)^a

a School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054, China;
b School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 610054, China

Received:2014-10-27 Revised:2015-02-23 Online:2015-07-05 Published:2015-07-05
Contact: Wei Xiao-Kun E-mail:weixiaokun1990@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61331007 and 61471105).

摘要/Abstract

摘要： An efficient conformal locally one-dimensional finite-difference time-domain (LOD-CFDTD) method is presented for solving two-dimensional (2D) electromagnetic (EM) scattering problems. The formulation for the 2D transverse-electric (TE) case is presented and its stability property and numerical dispersion relationship are theoretically investigated. It is shown that the introduction of irregular grids will not damage the numerical stability. Instead of the staircasing approximation, the conformal scheme is only employed to model the curve boundaries, whereas the standard Yee grids are used for the remaining regions. As the irregular grids account for a very small percentage of the total space grids, the conformal scheme has little effect on the numerical dispersion. Moreover, the proposed method, which requires fewer arithmetic operations than the alternating-direction-implicit (ADI) CFDTD method, leads to a further reduction of the CPU time. With the total-field/scattered-field (TF/SF) boundary and the perfectly matched layer (PML), the radar cross section (RCS) of two 2D structures is calculated. The numerical examples verify the accuracy and efficiency of the proposed method.

关键词: conformal scheme, locally one-dimensional (LOD) finite-difference time-domain (FDTD) method, numerical dispersion, unconditional stability

Abstract: An efficient conformal locally one-dimensional finite-difference time-domain (LOD-CFDTD) method is presented for solving two-dimensional (2D) electromagnetic (EM) scattering problems. The formulation for the 2D transverse-electric (TE) case is presented and its stability property and numerical dispersion relationship are theoretically investigated. It is shown that the introduction of irregular grids will not damage the numerical stability. Instead of the staircasing approximation, the conformal scheme is only employed to model the curve boundaries, whereas the standard Yee grids are used for the remaining regions. As the irregular grids account for a very small percentage of the total space grids, the conformal scheme has little effect on the numerical dispersion. Moreover, the proposed method, which requires fewer arithmetic operations than the alternating-direction-implicit (ADI) CFDTD method, leads to a further reduction of the CPU time. With the total-field/scattered-field (TF/SF) boundary and the perfectly matched layer (PML), the radar cross section (RCS) of two 2D structures is calculated. The numerical examples verify the accuracy and efficiency of the proposed method.

Key words: conformal scheme, locally one-dimensional (LOD) finite-difference time-domain (FDTD) method, numerical dispersion, unconditional stability

中图分类号: (Finite-difference methods)

02.70.Bf

02.60.Cb (Numerical simulation; solution of equations) 43.20.Px (Transient radiation and scattering) 92.60.Ta (Electromagnetic wave propagation)

魏晓琨, 邵维, 石胜兵, 张勇, 王秉中. An efficient locally one-dimensional finite-difference time-domain method based on the conformal scheme[J]. 中国物理B, 2015, 24(7): 70203-070203.

Wei Xiao-Kun (魏晓琨), Shao Wei (邵维), Shi Sheng-Bing (石胜兵), Zhang Yong (张勇), Wang Bing-Zhong (王秉中). An efficient locally one-dimensional finite-difference time-domain method based on the conformal scheme[J]. Chin. Phys. B, 2015, 24(7): 70203-070203.

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An efficient locally one-dimensional finite-difference time-domain method based on the conformal scheme

An efficient locally one-dimensional finite-difference time-domain method based on the conformal scheme

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