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We investigate the fluctuation properties in the eigenfrequency spectra offlat cylindrical microwave cavities that are homogeneously filled withmagnetized ferrite. These studies are motivated by experiments in which onlysmall pieces of ferrite were embedded in the cavity and magnetized with anexternal static magnetic field to induce partial time-reversal (T ) invarianceviolation. We use two different shapes of the cavity, one exhibiting anintegrable wave dynamics, the other one a chaotic one. We demonstrate that inthe frequency region where only transverse-magnetic modes exist, themagnetization of the ferrites has no effect on the wave dynamics and does notinduce T -invariance violation whereas it is fully violated above the cutofffrequency of the first transverse-electric mode. Above all, independently ofthe shape of the resonator, it induces a chaotic wave dynamics in thatfrequency range in the sense that for both resonator geometries the spectralproperties coincide with those of quantum systems with a chaotic classicaldynamics and same invariance properties under application of the generalized Toperator associated with the resonator geometry.

Time-reversal Invariance Violation and Quantum Chaos Induced by Magnetization in Ferrite-Loaded Resonators