Interpolation of Ewald-Accelerated Periodic Green's Function Representations for Homogeneous or Layered Media

被引：16

作者：

Celepcikay, Ferhat Turker ^{[1
,2
]}

Wilton, Donald R. ^{[3
]}

Jackson, David R. ^{[3
]}

Johnson, William A. ^{[4
]}

机构：

[1] Univ Houston, Houston, TX 77204 USA

[2] Turgut Ozal Univ, Dept Elect & Elect Engn, TR-06010 Ankara, Turkey

[3] Univ Houston, Dept Elect & Comp Engn, Houston, TX 77204 USA

[4] New Mexico Inst Min & Technol, Dept Math, Socorro, NM 87801 USA

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2017年 / 65卷 / 05期

基金：

美国能源部;

关键词：

Electric field integral equation (EFIE); Ewald transformation; Green's function; half-line source; interpolation; method of moments; numerical methods; periodic structures; series acceleration; LEAKY;

D O I：

10.1109/TAP.2017.2677919

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 method is explored and developed for significantly accelerating the computation of the Ewald series representation for periodic homogeneous media Green's functions. The method involves extracting corner singularity terms from the corners of the unit cell, resulting in a smooth regularized Green's function that is amenable to interpolation. The approach can be used to accelerate layered-media problems, where application of Kummer's method splits the spectral (Floquet modal) series representation into a rapidly converging difference series that is regular plus a residual series that contains any spatial singularities present. The residual series corresponds to a homogeneous medium, and can thus be treated with the method proposed here.

引用

页码：2517 / 2525

页数：9

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