1-D Periodic Greens Function for Leaky and Complex Waves Using the Ewald Method

被引：3

作者：

Komanduri, Varada Rajan ^{[1
]}

Jackson, David R. ^{[2
]}

Capolino, Filippo ^{[3
]}

Wilton, Donald R. ^{[2
]}

机构：

[1] Kymeta Corp, Redmond, WA 98052 USA

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

[3] Univ Calif Irvine, Dept Elect Engn & Comp Sci, Irvine, CA 92697 USA

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2016年 / 64卷 / 11期

关键词：

1-D periodic Green's function; complex waves; Ewald method; leaky waves; metamaterials; EFFICIENT COMPUTATION; HELMHOLTZ-EQUATION; LATTICE SUMS; OPERATOR; LINES; ARRAY; 2-D; 2D;

D O I：

10.1109/TAP.2016.2600698

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 Ewald method for evaluating the free-space 1-D periodic Green's function is extended to leaky waves by allowing for complex wavenumbers. It is shown that care must be taken when choosing the path of integration in the complex plane in the derivation of the Ewald method in order to obtain solutions that correspond to physical leaky-wave solutions. The use of different paths results in an evaluation of the Ewald method using an analytical continuation of the exponential integral function previously used when the wavenumber is real. The extension of the Ewald method to complex wavenumbers allows for the treatment of practical periodic leaky-wave antennas and periodic guiding structures with losses, as well as metamaterials, including 1-D chains of plasmonic nanoparticles.

引用

页码：4703 / 4712

页数：10

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