Abstract
Although exact integral expressions for the outgoing current waves on a long antenna have long existed, they have never been brought in such a form that a numerical or graphical description of the wave has been possible. The author shows how to transform them into good series expansions valid for all distances from the feeding point. Graphs show the result. The traveling current waves can also be extracted from the author's expression for the current on a finite transmitting antenna published in Nova Acta Upsal, 1938. Both ways give identical series.