A transformer including a coaxial transmission line and a series circuit of discrete stages of voltage sources arranged along a main axis of wave propagation. Electromagnetic waves are propagated along the coaxial transmission line in each stage and are coupled in the coaxial transmission line by pulse currents. Each stage has a coupling-in inductance formed by discrete inductances that generate the pulse currents. The discrete inductances are magnetically coupled to each other such that magnetic fluxes of the discrete inductances are superimposed on one another and added to one another along a circular line that is rotationally symmetrical to the main axis of wave propagation.