Calculating far field of an arbitrarily oriented electric dipole located above layered half space using reciprocity theorem

Abstract

Based on the reciprocity theorem, the far field formulation of an arbitrarily oriented electric dipole located at the interface of the layered half space is deduced. Then, considering the optical path difference between directed wave and reflected wave, the formula of the electric dipole located above the interface of the layered half space is discussed. The TE and the TM reflection coefficients of the layered half space can be calculated by the propagation matrix method or the continued fraction method. The presente method, in which the deduction process possesses concise physics concept, is suitable for calculating the radiated field of an electric dipole when the observation point is away from the interface. The numerical results show that using our method the far radiation field of an arbitrarily oriented electric dipole located above the interface of layered half space can be guickly analyzed.