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

被引:10
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
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
收藏
页码:4725 / 4731
页数:7
相关论文
共 50 条
  • [31] Fast optimization of sparse antenna array using numerical Green's function and genetic algorithm
    Raji, Mordecai F.
    Zhao, Huapeng
    Monday, Happy N.
    INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, 2020, 33 (04)
  • [32] Rapid calculation of the Green's function in the shielded planar structures
    Park, MJ
    Nam, S
    IEEE MICROWAVE AND GUIDED WAVE LETTERS, 1997, 7 (10): : 326 - 328
  • [33] Interpolation of Ewald-Accelerated Periodic Green's Function Representations for Homogeneous or Layered Media
    Celepcikay, Ferhat Turker
    Wilton, Donald R.
    Jackson, David R.
    Johnson, William A.
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2017, 65 (05) : 2517 - 2525
  • [34] Efficient evaluation of the 3-D periodic Green's function through the Ewald method
    Lovat, Giampiero
    Burghignoli, Paolo
    Araneo, Rodolfo
    IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2008, 56 (09) : 2069 - 2075
  • [35] Numerical Analysis of Large-Scale Finite Periodic Arrays Using a Macro Block-Characteristic Basis Function Method
    Konno, Keisuke
    Chen, Qiang
    Burkholder, Robert J.
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2017, 65 (10) : 5348 - 5355
  • [36] A Green's function formulation for finite-differences schemes
    Alvarez-Ramirez, Jose
    Valdes-Parada, Francisco J.
    Alvarez, Jesus
    Ochoa-Tapia, J. Alberto
    CHEMICAL ENGINEERING SCIENCE, 2007, 62 (12) : 3083 - 3091
  • [37] Generalized quadrature for finite temperature Green's function methods
    Gu, Jie
    Chen, Jia
    Wang, Yang
    Zhang, X-G
    COMPUTER PHYSICS COMMUNICATIONS, 2020, 253
  • [38] Efficient computation of the two-dimensional periodic Green's function
    Wallinga, GS
    Rothwell, EJ
    Chen, KM
    Nyquist, DP
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1999, 47 (05) : 895 - 897
  • [39] Green's Function Based Equivalent Circuits for Connected Arrays in Transmission and in Reception
    Cavallo, Daniele
    Neto, Andrea
    Gerini, Giampiero
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2011, 59 (05) : 1535 - 1545
  • [40] Rapidly Convergent Representations for Periodic Green's Functions of a Linear Array in Layered Media
    Van Orden, Derek
    Lomakin, Vitaliy
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2012, 60 (02) : 870 - 879