A radio-frequency (RF) resonator system, in particular, for an NMR (nuclear magnetic resonance) probe head, with at least one RF resonator which comprises at least three non-interrupted conducting elements (21; 54, 56, 58; 75, 76; 91-94; 111a-111d; 131, 132a-132b; 169a-169f) which form at least one window (57; 77a; 124, 124a) in the RF resonator, wherein only part of the conducting elements delimits the at least one window, wherein the conducting elements are coupled through electromagnetic fields, wherein each conducting element has a limiting current density, is characterized in that the eigen-resonances of the individual conducting elements and/or the electromagnetic coupling between the conducting elements is/are selected such that upon excitation of the RF resonator system, the maxima of the quotient values along the individual conducting elements are substantially equal for all conducting elements, wherein these quotient values are defined as a quotient between an average current density which occurs in a cross-section of the conducting elements and the respective local limiting current density, or in that peak-shaped current excesses (143a-143f) which may occur mainly in the edge region of packets of conducting elements (131, 132a, 132b), in particular, at the edge of windows (124, 124a) along individual conducting elements (132a, 132b) or along conductor groups of several conducting elements (132a, 132b) are substantially eliminated. The RF resonator system thereby allows large RF magnetic field strengths.