Periodic Green's function for skewed 3-D lattices using the Ewald transformation

被引：24

作者：

Stevanoviæ, Ivica ^{[1
]}

Mosig, Juan R. ^{[1
]}

机构：

[1] Ecole Polytech Fed Lausanne, LEMA, ELB, CH-1015 Lausanne, Switzerland

来源：

MICROWAVE AND OPTICAL TECHNOLOGY LETTERS | 2007年 / 49卷 / 06期

关键词：

Ewald transformation; Green's functions; integral equations; periodic structures; electromagnetic/photonic band-gap materials; metamaterials;

D O I：

10.1002/mop.22429

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：

We apply the Ewald acceleration technique to the efficient evaluation of periodic Green's functions (GFs) for 3-D skewed lattices like those arising in electromagnetic/photonic band-gap (EBG/PBG) structures and metamaterials (MTMs). We develop the expression for the optimal value of an associated splitting parameter, derive the gradient of the scalar potential GFs and address the extraction of singularity for both vector/scalar potential GF and their curl/gradient. Several numerical implementation issues are also discussed leading to further enhancement in computational speed, accuracy, and numerical stability. Finally, the accuracy of the developed GFs is verified against well established algorithms. (c) 2007 Wiley Periodicals, Inc.

引用

页码：1353 / 1357

页数：5

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