We report time-domain measurements of indirectly coupled resonators in open systems. We examine a coupled LRC circuit and a cavity-magnon-polariton system, each with resonators coupled through a shared transmission line. In both cases, time-domain measurements directly resolve the temporal evolution of hybridized eigenmodes, thereby revealing non-Hermitian dynamics. To unify the platforms, we formulate a general model that uses circuit analysis and temporal coupled-mode theory and derive the corresponding S-parameter expressions. Moreover, recent theoretical work has shown that frequency-domain absorption is more effective than transmission for identifying eigenmodes in open systems. Our work provides an experimental confirmation of this prediction which agrees with the direct time-domain observations.

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• Long-range interactions
• Magnetism
• Magnons
• Polaritons
• Room temperature RF
• Coupled oscillators
• Electrical techniques
• Microwave techniques