The Effect of a Bend on the Stochastic-Field Coupling to a Single Wire Transmission Line Over a Conductive Ground Plane

The classical transmission line theory does not take not into account the variations in the parameters of a transmission line or any change in its uniform properties as well as the influence on coupling of not straight, e.g. bent wires. In this paper, a theory is derived which uses simple position dependent per-unit-length parameters to account to these effects. The theoretical problem of a bend on a single wire transmission line is analyzed based on the wave equations and the solution of the Green's functions. The model is validated against a simulation model based on the method of moments. Moreover, the new model is compared to an already existing simulation model based on the BLT equations (named after Baum-Liu-Tesche) for the field-to-wire coupling of a stochastic field to transmission line networks, which does not take into account the coupling between the lines.