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

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

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.

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

Received: 02 April 2014
Revised: 07 May 2014
Accepted manuscript online:

PACS:	41.20.Jb	(Electromagnetic wave propagation; radiowave propagation)
	42.25.Bs	(Wave propagation, transmission and absorption)
	42.25.Gy	(Edge and boundary effects; reflection and refraction)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61301063 and 41305017).

Corresponding Authors: Liu Ya-Wen
E-mail: liuyawen1111@163.com

Cite this article:

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 2014 Chin. Phys. B 23 124102


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

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