Pulsed EM Plane-Wave Coupling to a Transmission Line Over Orthogonal Ground Planes: An Analytical Model Based on EM Reciprocity

Pulsed electromagnetic field coupling to a transmission line (TL) located over two mutually orthogonal, perfect ground planes is described analytically. It is demonstrated that the effect of an additional ground plane can be readily accounted for by extending the existing formulas applying to the configuration with the single ground plane. The thus obtained closed-form time-domain (TD) formulas specifying the equivalent Thévenin circuits at the terminals of the TL are subsequently applied to calculating the plane-wave induced voltage across a general terminal load. Some special (limiting) cases concerning a relatively short line located close to the conducting reference planes are discussed. The novel analytical results are validated with the help of a three-dimensional computational tool by analyzing the TD response of a thin, conducting planar strip above two mutually orthogonal reference planes.