Horizontal linear antennas above a lossy half-space: A new model for the Sommerfeld's integral kernel

Unknown current distribution (UCD) and input impedance/admittance of a horizontal dipole antenna (HDA) placed above a homogenous and isotropic lossy half-space (LHS) will be determined in this paper. Integrals of Sommerfeld's type, which occur in potential expressions, will be solved approximately applying a new simple, very accurate and efficient model. Firstly, the accuracy of the proposed model for the Sommerfeld's integral kernel (SIK) is going to be verified, comparing the obtained results with corresponding ones of other authors. In order to illustrate validity of the proposed method, the system of integral equations of Hallen's type (SIE-H) will be numerically solved using the point-matching method (PMM), assuming the polynomial approximation for the current along the antenna conductors. Results obtained for the current distribution and input impedance of the observed HDA will be graphically illustrated and, also, compared with corresponding ones of other authors.