Long range dipole-dipole correlation in a ferrimagnetic sample can be treated in terms of collective excitations of the system as a whole. Ferrite samples with linear dimensions smaller than the dephasing length, but still much larger than the exchange-interaction scales, are mesoscopic structures with magneto-dipolar-mode (MDM) oscillations. Recently, it was shown that thin-film yttrium-iron-garnet (YIG) disks, distinguishing by multiresonance MDM spectra, demonstrate unique properties of artificial atomic structures: energy eigenstates, eigen power-flow vortices, and eigen helicity parameters. Because of these properties, MDMs in a quasi-2D ferrite disk enable confinement of microwave radiation to subwavelength scales. In microwave structures with embedded MDM ferrite samples, one can observe quantized fields with topologically distinctive characteristics. These fields are termed magnetoelectric (ME) fields. Newly developed capabilities in microwave sensing using ME probing fields originated the MDM ferrite samples, provide a potential for unprecedented measurements of chemical and biological objects.