The following paper aims for a new more efficient design of the discharge chamber of a Radio-Frequency Ion-Thruster (RIT). The discharge chamber contains plasma, which provides the charged particles for thrust-generation. The plasma is produced by ionization of gas. The ionizing discharge has to occur in the whole chamber; in the whole chamber energy needs to be expended to produce plasma. On the other hand, as shown in [3], only charged particles out of a small layer direct close to the plasma-grid are used to become accelerated for the generation of thrust. In order to achieve energy costs as efficient as possible; plasma should be produced only in this small layer, optimally. In the following an option is presented to reduce the length of the discharge chamber of a RIT. This is achieved by coupling in the ionizing electric eddy-fields from the top-end of the discharge chamber, no longer from the sides of the chamber. For this kind of field-coupling a new induction system is needed, where the induction coil is placed inside a ferrite pot-core. Within this paper a qualitative testing of the proposed new induction system is described.