Accelerated Computation of the Free Space Green´s Function Gradient of Infinite Phased Arrays of Dipoles

Author

Guérin, Nicolas ; Craeye, Christophe ; Dardenne, Xavier

Author_Institution

Lab. for Electromagn. Fields & Microwave Electron., Swiss Fed. Inst. of Technol., Zurich, Switzerland

Volume

57

Issue

10

fYear

2009

Firstpage

3430

Lastpage

3434

Abstract

The performances of different methods used for the computation of the gradient of the free space Green´s function for doubly periodic infinite arrays are investigated, for spacings smaller than the wavelength. An optimal transition between plane wave and cylindrical wave decompositions is proposed and an extension of the method is proposed for the large wavelength case. The joint use of different wave decompositions, combined with the Levin accelerator, allows to obtain exponential convergence for all observation points.

Keywords

Green´s function methods; convergence of numerical methods; dipole antenna arrays; gradient methods; Levin accelerator; cylindrical wave decomposition; dipole arrays; doubly periodic infinite arrays; free space Green´s function gradient; infinite phased arrays; plane wave decomposition; Acceleration; Convergence; Convolution; Current distribution; Electromagnetic fields; Electromagnetic scattering; Green´s function methods; Laboratories; Lattices; Microwave antenna arrays; Periodic structures; Phased arrays; Postal services; Space technology; Doubly periodic structures; Green´s function gradient; Levin T accelerator; numerical methods;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2009.2028684

Filename

5175474