Imagine shouting into a tunnel and listening for the echo. Scientists do something similar with waves, sending them into systems and studying how they bounce around and come out. Until now, they mostly understood how long a wave “hangs out” in the system. But there’s another part: the imaginary time delay, that’s like figuring out how the wave’s “tone” or “pitch” changes during the process.

Using microwave pulses and a special setup, scientists measured this mysterious part for the first time and confirmed a 2016 theory. It shows waves can subtly shift as they pass through certain materials, giving us new tools to control and predict how waves behave in things like sensors, sound systems, or even quantum tech!

The study is published in the Physical Review Letters.

DOI: https://doi.org/10.1103/nnk7-xy4v