Title :
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
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;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2009.2028684
