Calculation of the Free-Space Periodic Green's Function Using Equivalent Finite Array

被引：11

作者：

Boutami, Salim ^{[1
]}

Fall, Mandiaye ^{[1
]}

机构：

[1] Commissariat Energie Atom & Energies Alternat CEA, LETI, DOPT, Ingenieur Chercheur Lab Capteurs & NAnophoton LCN, F-38054 Grenoble 9, France

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2012年 / 60卷 / 10期

关键词：

Electromagnetic scattering by periodic structures; Ewald tranformation; Green's function; moment methods; periodic structures; planar arrays; Rayleigh waves; ELECTROMAGNETIC SCATTERING; EFFICIENT COMPUTATION; ACCELERATION TECHNIQUES; LATTICE SUMS; SERIES; 2-D; DIFFRACTION; EQUATION; 1-D;

D O I：

10.1109/TAP.2012.2210179

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 present a novel method for the calculation of the 2D and 3D free-space periodic Green's function (PGF), especially efficient when observation points are in the vicinity of the array plane, a case for which both spatial and spectral domain forms of PGF are known to be slowly convergent. The PGF is approximated by a truncation of the original array, and the assignment of new fictitious amplitudes to maintained sources. Both 2D and 3D numerical tests show that a highly accurate approximation of the PGF can be obtained with such an equivalent finite array composed of a few sources, making the method especially relevant for fast electromagnetic computation of periodic structures, with the method of moments (MoM) for example.

引用

页码：4725 / 4731

页数：7

共 50 条

[1] Efficient calculation of lattice sums for free-space periodic Green's function
Yasumoto, K
Yoshitomi, K
[J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1999, 47 (06) : 1050 - 1055
[2] EFFICIENT CALCULATION OF THE FREE-SPACE PERIODIC GREEN-FUNCTION
JORGENSON, RE
MITTRA, R
[J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1990, 38 (05) : 633 - 642
[3] EFFICIENT COMPUTATION OF THE FREE-SPACE PERIODIC GREEN-FUNCTION
SINGH, S
SINGH, R
[J]. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1991, 39 (07) : 1226 - 1229
[4] Computation of the One-Dimensional Free-Space Periodic Green's Function for Leaky Waves using the Ewald Method
Komanduri, V. Rajan
Jackson, D. R.
Capolino, F.
Wilton, D. R.
[J]. 2012 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA), 2012, : 1184 - +
[5] Inverse power series for the free-space Green's function
Leifer, S
Burkholder, RJ
[J]. MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 2006, 48 (03) : 467 - 471
[6] DERIVATION OF THE FREE-SPACE SCALAR GREEN FUNCTION
ROBEY, DH
POTTS, DH
[J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1956, 28 (04): : 723 - 724
[7] On the computation of the free-space doubly-periodic Green's function of the three-dimensional Helmholtz equation
Moroz, A
[J]. JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2002, 16 (04) : 457 - 465
[8] Periodic Green's functions for linear arrays in free-space and near layered media
Van Orden, Derek
Lomakin, Vitaliy
[J]. 2009 CONFERENCE ON LASERS AND ELECTRO-OPTICS AND QUANTUM ELECTRONICS AND LASER SCIENCE CONFERENCE (CLEO/QELS 2009), VOLS 1-5, 2009, : 2987 - 2988
[9] Finite array analysis using iterative spatial Fourier windowing of the generalized periodic Green's function
Yeo, SKN
Parfitt, AJ
[J]. IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM - 1996 DIGEST, VOLS 1-3, 1996, : 392 - 395
[10] Fast convolution with free-space Green's functions
Vico, Felipe
Greengard, Leslie
Ferrando, Miguel
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 323 : 191 - 203

← 1 2 3 4 5 →