Title :
Generalized-scattering-matrix analysis of a class of finite arrays of coupled antennas by using 3-D FEM and spherical mode expansion
Author :
Rubio, Jesús ; González, Miguel A. ; Zapata, Juan
Author_Institution :
Dept. de Informatica, Univ. de Extremadura, Caceres, Spain
fDate :
3/1/2005 12:00:00 AM
Abstract :
A rigorous method for characterizing, in terms of a multimode scattering matrix, a finite array of antennas where each antenna can be described by means of spherical waves is presented in this paper. The procedure provides the impedance, coupling and radiating characteristics of the arrays and comprises two steps. First, the generalized scattering matrix (GSM) of each single antenna is numerically calculated over a wide band of frequencies. For this purpose we use a previously-developed methodology that combines the domain segmentation technique, the three-dimensional finite element method (3D-FEM), spherical mode expansion and a reduced order model obtained using a symmetric matrix Pade´-Via-Lanczos (SyMPVL) algorithm. Second, the overall GSM of the finite array is calculated starting from the GSM of each antenna and using rotation and translation of spherical waves. A closed-form expression for the overall GSM is given and different examples are shown in order to validate the proposed method.
Keywords :
S-matrix theory; antenna arrays; electromagnetic coupling; electromagnetic wave scattering; finite element analysis; impedance matrix; matrix decomposition; microstrip antenna arrays; 3D-FEM; GSM; SyMPVL; domain decomposition; finite antenna array; generalized scattering matrix; impedance-radiating characteristic; multimode scattering matrix; mutual coupling; segmentation technique; spherical wave; spherical wave translation-rotation; symmetric matrix Pade-Via-Lanczos algorithm; three-dimensional finite element method; wide band frequency; Antenna arrays; Broadband antennas; Coupled mode analysis; Finite element methods; Frequency; GSM; Impedance; Reduced order systems; Scattering; Symmetric matrices; Domain decomposition; PadÉ-Via-Lanczos; finite array; finite element method (FEM); generalized scattering matrix (GSM); mutual coupling; reduced order models; spherical wave expansion; translational addition theorems;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2004.842687