Finite periodic structure approach to large scanning array problems
Abstract
A new formulation called the finite periodic structure method is proposed which is useful for treating mutual coupling problems in large antenna arrays. The discrete array problem is first converted into a series of continuous aperture problems using Poisson's sum formula. Spatial Fourier transforms are then used to represent the impedance in a form similar to the infinite periodic structure approach. The active impedance is then given by a convolution integral involving the infinite periodic structure solution and the Fourier transform of the equivalent aperture distribution of the current over the entire area of the array. The formulation is particularly useful for large finite arrays and edge effects; current tapers and nonuniform spacings can also be included in the general formulation. The forced excitation problem is discussed to illustrate the method.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 November 1985
 DOI:
 10.1109/TAP.1985.1143507
 Bibcode:
 1985ITAP...33.1213I
 Keywords:

 Antenna Arrays;
 Cross Coupling;
 Dipole Antennas;
 Electrical Impedance;
 Numerical Analysis;
 Scanners;
 Fourier Transformation;
 Poisson Equation;
 Communications and Radar