Effect of a wire end in thin-wire analysis

A rigorous treatment of the end effect must include precise approximation of the surface current and charge distribution at the wire ends, taking into account the exact shape of the ends. Such treatment requires a number of extra terms to approximate these currents and charges and evaluation of a novel type of quasisingular integrals. The author presents a novel, simple, and almost rigorous treatment of effect of rotationally symmetrical end, which can be easily included into algorithms developed without introducing additional unknowns. He shows how the ends of the simple shape can be successfully modelled by conical (flat) ends, in which case evaluation of a novel type of quasisingular integral for each particular end is avoided. Extensive numerical results confirm the suggested treatment and show some less-known properties of errors of thin-wire analysis performed by various methods.<>