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

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

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.

Keywords: finite-difference time-domain curved surface staircase error boundary condition equation

Received: 15 March 2016
Revised: 12 May 2016
Accepted manuscript online:

PACS:	02.60.-x	(Numerical approximation and analysis)
	02.70.-c	(Computational techniques; simulations)
	41.20.Jb	(Electromagnetic wave propagation; radiowave propagation)
	46.15.-x	(Computational methods in continuum mechanics)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 51025622).

Corresponding Authors: Huaichun Zhou
E-mail: hczh@mail.tsinghua.edu.cn

Cite this article:

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

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