Analysis of a large linear antenna array of uniformly-spaced thin-wire dipoles parallel to a perfectly conducting plane

A method of moments solution is presented for the analysis of a large linear antenna array of uniformly spaced thin-wire dipoles parallel to an infinite perfectly conducting plane. A single piecewise sinusoidal expansion and testing function per dipole is used in a Galerkin procedure. This results in a symmetric Toeplitz generalized impedance matrix requiring approximately
2N^{2}
multiplications and divisions to determine the unknown dipole currents. The solution corresponds to a savings of a factor of
N/6
over a Gaussian elimination solution. Computed results are given for a 1000- element dipole array.