Reverse resonance scattering on the main magnetic mode and wave properties of linear structures consisting of subwavelength dielectric elements in the form of flat thin rings excited by displacement currents of an incident plane electromagnetic wave in the microwave range are studied. It is shown that for a single ring, the magnetic field at the main resonant frequency is concentrated inside the ring and in the near zone, and for structures consisting of two or more rings, the magnetic field is also registered in the far zone. The measured main magnetic resonances in the spectrum of electromagnetic fields of one and two flat rings coincide with the calculated resonant frequencies.