Analytic derivation of mutual impedance between two arbitrarily located and slanted dipoles using effective length vector

Antenna mutual coupling is a significant issue for the mobile communications system, near field communications system, to improve communication capacity and so on. Therefore, the accurate analysis of the mutual coupling between antennas is very important. Accordingly, calculating the mutual impedance of dipoles has been studied in cases of co- and non-planar skew. This paper proposes an exact and simple method for analyzing the mutual impedance between two arbitrarily located and slanted dipoles using the effective length vector (ELV) and derives its closed form solution as well. The proposed formula is verified by numerical tool and gives good agreement.