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We measure the complex scattering amplitudes of a flat microwave cavity (a"chaotic billiard"). Time-reversal T-invariance is partially broken by amagnetized ferrite placed within the cavity. We extend the random-matrixapproach to T-violation in scattering, fit some of the properties of thescattering amplitudes, and then successfully predict others. Our workconstitutes the most precise test of the theoretical approach to T-violationwithin the framework of random-matrix theory so far available.

Induced Violation of Time-Reversal Invariance in the Regime of Weakly Overlapping Resonances