MODELING MAGNETIC DIPOLES IN DIELECTRIC RINGS WITH THE BIOT–SAVART–LAPLACE FRAMEWORK

Abstract

We investigate the electromagnetic response of a high-permittivity dielectric plane ring under GHz-frequency plane wave excitation. Our results demonstrate that the ring behaves as an almost ideal magnetic dipole at its fundamental resonance, with negligible contributions from higher-order multipoles—less than 0.2% of the primary magnetic dipole component. Experimental measurements of the magnetic field distribution around the ring align closely with both numerical simulations and predictions based on the Biot–Savart–Laplace law. This confirms that the Biot–Savart–Laplace framework, traditionally applied to conductive metal rings, is also valid for accurately modeling non-conductive, low-loss dielectric structures at microwave frequencies. These findings offer a new route for engineering low-loss, magnetically resonant dielectric elements for use in advanced electromagnetic and metamaterial systems