Reduced-Order Model With Equivalence Surface for Scattering Problems

被引：7
作者：
Gan, Hui H. [1 ]
Dai, Qi I. [1 ]
Xia, Tian [1 ]
Liu, Qin [2 ]
Chew, Weng Cho [3 ]
机构：
[1] Univ Illinois, Dept Elect & Comp Engn, Urbana, IL 61801 USA
[2] Univ Hong Kong, Dept Elect & Elect Engn, Hong Kong, Peoples R China
[3] Purdue Univ, Sch Elect & Comp Engn, W Lafayette, IN 47907 USA
来源：
IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS | 2019年 / 18卷 / 02期
关键词：
Discrete empirical interpolation method (DEIM); randomized singular value decomposition (RSVD); reduced-order model; surface integral equation (SIE); INTEGRAL-EQUATION;
D O I：
10.1109/LAWP.2018.2889734
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：
A reduced-order model for analyzing scattering problems with surface integral equation method is proposed in this letter. An equivalent surface (ES) is introduced to enclose the scatterer and the corresponding interaction matrix between the ES and the scatterer is generated. A series of eigenvectors is obtained by performing randomized singular-value decomposition to the matrix. According to the equivalence principle, the wave input-output relation of the scatterer is encapsulated by a limited number of eigenvectors with a given truncation error, which can be precomputed and reused when the location of radiator changes but the scatterer does not. In addition, discrete empirical interpolation method is applied to further accelerate the calculation of the interaction between the radiator and the background. Numerical examples are provided to demonstrate the efficiency and accuracy of the proposed scheme.
引用
收藏
页码：308 / 312
页数：5
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