Coupled Horizontal Dipole Antennas Above a Conducting Half-Space

The unknown current distributions (UCDs), self and mutual impedances/admittances of coupled horizontal dipoles (CHD) with common equatorial plane (x0z plane), placed above a real earth, are determined in this paper. The UCDs are determined by numerical solving of system of integral equations of Hallen’s type (SIE-H) using a polynomial approximation for currents. The simplified expressions for potentials (Hertz vector potential and electric scalar potential), obtained with assumption that the module of refractive index ground/air is much greater than one, n10 >> 1, are used for establishing the SIE-H. Thus, the problem of numerical calculation of so-called Sommerfeld’s integrals is partially omitted. The paper shows that very accurate results for the current distributions and impedances of the antennas are obtained if n10 > 3. Fortunately, this condition is satisfied in most of the practical cases.