A spherical higher-order finite-difference time-domain algorithm with perfectly matched layer

doi:10.1088/1674-1056/23/12/124102

›› 2014, Vol. 23 ›› Issue (12): 124102-124102.doi: 10.1088/1674-1056/23/12/124102

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

A spherical higher-order finite-difference time-domain algorithm with perfectly matched layer

刘亚文, 陈亦望, 张品, 刘宗信

National Key Laboratory on Electromagnetic Environment and Electro-optical Engineering, PLA University of Science and Technology, Nanjing 210007, China

收稿日期:2014-04-02 修回日期:2014-05-07 出版日期:2014-12-15 发布日期:2014-12-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61301063 and 41305017).

A spherical higher-order finite-difference time-domain algorithm with perfectly matched layer

Liu Ya-Wen (刘亚文), Chen Yi-Wang (陈亦望), Zhang Pin (张品), Liu Zong-Xin (刘宗信)

National Key Laboratory on Electromagnetic Environment and Electro-optical Engineering, PLA University of Science and Technology, Nanjing 210007, China

Received:2014-04-02 Revised:2014-05-07 Online:2014-12-15 Published:2014-12-15
Contact: Liu Ya-Wen E-mail:liuyawen1111@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61301063 and 41305017).

摘要/Abstract

摘要： A higher-order finite-difference time-domain (HO-FDTD) in the spherical coordinate is presented in this paper. The stability and dispersion properties of the proposed scheme are investigated and an air-filled spherical resonator is modeled in order to demonstrate the advantage of this scheme over the finite-difference time-domain (FDTD) and the multiresolution time-domain (MRTD) schemes with respect to memory requirements and CPU time. Moreover, the Berenger's perfectly matched layer (PML) is derived for the spherical HO-FDTD grids, and the numerical results validate the efficiency of the PML.

关键词: higher-order finite-difference time-domain, spherical coordinates, stability, numerical dispersion, perfectly matched layer

Abstract: A higher-order finite-difference time-domain (HO-FDTD) in the spherical coordinate is presented in this paper. The stability and dispersion properties of the proposed scheme are investigated and an air-filled spherical resonator is modeled in order to demonstrate the advantage of this scheme over the finite-difference time-domain (FDTD) and the multiresolution time-domain (MRTD) schemes with respect to memory requirements and CPU time. Moreover, the Berenger's perfectly matched layer (PML) is derived for the spherical HO-FDTD grids, and the numerical results validate the efficiency of the PML.

Key words: higher-order finite-difference time-domain, spherical coordinates, stability, numerical dispersion, perfectly matched layer

中图分类号: (Electromagnetic wave propagation; radiowave propagation)

41.20.Jb

42.25.Bs (Wave propagation, transmission and absorption) 42.25.Gy (Edge and boundary effects; reflection and refraction)

刘亚文, 陈亦望, 张品, 刘宗信. A spherical higher-order finite-difference time-domain algorithm with perfectly matched layer[J]. , 2014, 23(12): 124102-124102.

Liu Ya-Wen (刘亚文), Chen Yi-Wang (陈亦望), Zhang Pin (张品), Liu Zong-Xin (刘宗信). A spherical higher-order finite-difference time-domain algorithm with perfectly matched layer[J]. Chin. Phys. B, 2014, 23(12): 124102-124102.

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A spherical higher-order finite-difference time-domain algorithm with perfectly matched layer

A spherical higher-order finite-difference time-domain algorithm with perfectly matched layer

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