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

共 50 条

[41] On the fully numerical evaluation of the linear-shape function times the 3-D Green's function on a plane triangle
Rossi, L
Cullen, PJ
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1999, 47 (04) : 398 - 402
[42] Impurity states on the honeycomb and the triangular lattices using the Green's function method
Sherafati, Mohammad
Satpathy, Sashi
PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, 2011, 248 (09): : 2056 - 2063
[43] A Meshless Method for the Helmholtz Eigenvalue Problem Based on the Taylor Series of the 3-D Green's Function
Leblanc, Alexandre
Lavie, Antoine
ACTA ACUSTICA UNITED WITH ACUSTICA, 2013, 99 (05) : 770 - 776
[44] Parasitics extraction involving 3-d conductors based on multi-layered Green's function
Ye, Zuochang
Yu, Zhiping
ASP-DAC 2006: 11TH ASIA AND SOUTH PACIFIC DESIGN AUTOMATION CONFERENCE, PROCEEDINGS, 2006, : 689 - 693
[45] Asymptotic expansion of the free-space green's function for the discrete 3-D Poisson equation
Burkhart, RH
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1997, 18 (04): : 1142 - 1162
[46] An effective method calculating acoustic green's function for closed rectangular cavity using the ewald's summation technique
Huang, Z. Y.
Jiang, W. K.
ACTA ACUSTICA UNITED WITH ACUSTICA, 2007, 93 (05) : 853 - 856
[47] A Hybrid Ewald-Spectral Representation of the Rectangular Cavity Green's Function
Gruber, Michael E.
Eibert, Thomas F.
2014 INTERNATIONAL SYMPOSIUM ON ELECTROMAGNETIC COMPATIBILITY (EMC EUROPE), 2014, : 906 - 909
[48] Efficient Computation of Green's Function for 1-D Periodic Structures
Tuchkin, Yury A.
Sanli, Ali
Dikmen, Fatih
IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, 2020, 19 (03): : 373 - 377
[49] Multilevel Green's function interpolation method for analysis of 3-D frequency selective structures using volume/surface integral equation
Shi, Yan
Chan, Chi Hou
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2010, 27 (02) : 308 - 318
[50] Green's function and excitation spectrum of finite lattices
Cojocaru, S.
Barsan, V.
Ceulemans, A.
PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, 2006, 243 (08): : 1963 - 1977

← 1 2 3 4 5 →