Spectral-Element Spectral-Integral (SESI) Method for the 1-D Bloch (Floquet) Periodic Problems With Scatterers Embedded in Multiple Regions of 2-D Layered Media

被引：8

作者：

Wang, Jianwen ^{[1
,2
]}

Li, Jiawen ^{[1
,2
]}

Liu, Jie ^{[1
,3
]}

Liu, Qing Huo ^{[4
]}

机构：

[1] Xiamen Univ, Inst Electromagnet & Acoust, Xiamen 361005, Peoples R China

[2] Xiamen Univ, Fujian Prov Key Lab Electromagnet Wave Sci & Dete, Xiamen 361005, Peoples R China

[3] Xiamen Univ, Sch Informat, Postdoctoral Mobile Stn Informat & Commun Engn, Xiamen 361005, Peoples R China

[4] Duke Univ, Dept Elect & Comp Engn, Durham, NC 27708 USA

来源：

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES | 2022年 / 70卷 / 02期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Bloch (Floquet) periodic boundary condition (BPBC); 1-D periodic scatterers; spectral-element spectralintegral (SESI) method; 2-D periodic layered medium Green's function (PLMGF); HYBRID FINITE-ELEMENT; GREENS-FUNCTION; FORMULATION; EQUATION;

D O I：

10.1109/TMTT.2021.3132350

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：

The hybrid spectral-element spectral-integral (SESI) method is developed for the electromagnetic (EM) scattering in 1-D Bloch (Floquet) periodic problems with scatterers embedded in multiple regions of 2-D layered media. The periodic layered medium Green's function (PLMGF) is derived for the SESI method so that it can simulate EM scattering by horizontally periodic scatterers placed in an arbitrary number of layers. The SESI method is a combination of the spectral-element method (SEM) and the spectral-integral method (SIM). The SEM is applied only in regions with scatterers and has the merits of exponential convergence at a low spatial sampling density, while the SIM serves as an exact radiation boundary condition for the bottom and top boundaries of each SEM region. Therefore, there is no need to discretize the regions with pure layered media; furthermore, the inverses of these SIM matrices are given exactly and explicitly with only O(N log N) CPU time. Three numerical experiments are performed to show the accuracy and efficiency of the SESI method.

引用

页码：1006 / 1015

页数：10