A wave-focusing technique that plays waves backward to concentrate energy at a target point.Time reversal is a wave-focusing technique that exploits the reversibility of wave equations to concentrate energy at a specific point in space and time. By recording a wave signal, reversing it in time, and re-emitting it, the wave retraces its path and focuses on the original source, even in complex, scattering media. This principle applies to sound, light, microwaves, and even seismic waves, enabling precise targeting in applications from medical therapy to communication.
The concept was developed in the 1990s by Mathias Fink and colleagues at the University of Paris, who demonstrated time-reversal mirrors for ultrasound. It builds on earlier work in phase conjugation in optics.
The method relies on the time-reversal symmetry of wave propagation in lossless media. A wave emitted from a source is recorded by an array of transducers. The recorded signals are time-reversed (played backward) and re-emitted. Because the wave equation is symmetric under time reversal, the reversed waves interfere constructively at the original source location, effectively 'refocusing' the energy there. In practice, this works even in heterogeneous media because the scattering that scrambled the wave is undone by the time-reversal process.
Time reversal is used in non-invasive medical treatments (e.g., focusing ultrasound to destroy tumors), underwater acoustic communication, and nondestructive testing of materials.
Time-reversal focusing can be so precise that it can target a single grain of sand in a water tank, a feat demonstrated in early experiments.

