Effective permittivities for second-order accurate FDTD equations at dielectric interfaces

被引:76
作者
Hwang, KP [1 ]
Cangellaris, AC [1 ]
机构
[1] Univ Illinois, Dept Elect & Comp Engn, Ctr Computat Electromagnet, Urbana, IL 61801 USA
关键词
convergence of numerical methods; FDTD methods; numerical analysis; permittivity;
D O I
10.1109/7260.916329
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In Yee's finite-difference time-domain (FDTD) scheme, effective permittivities are often used to account for offsets of dielectric interfaces from grid nodes, The specific values of these effective permittivities must be chosen in such a way that the second-order accuracy of the scheme is preserved. It is shown in this letter that, contrary to more elaborate techniques proposed recently for the development of these effective permittivities, a rigorous application of the integral forms of Maxwell's curl equations on the Yee's lattice leads to the desired values in a straightforward fashion, Numerical experiments in a two-dimensional (2-D) cavity are used to verify that the calculated effective permittivities preserve the second-order accuracy of the FDTD scheme.
引用
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页码:158 / 160
页数:3
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