Experimental Implementation of Wave Propagation in Disordered Time-Varying Media

Here, we study and implement the temporal analog in time disordered sytems. A spatially homogeneous medium is endowed with a time structure composed of randomly distributed temporal interfaces. This is achieved through electrostriction between water surface and an electrode. The wave field observed is the result of the interferences between reflected and refracted waves on the interfaces. Although no eigenmode can be associated with the wave field, several common features between space and time emerge. The waves grow exponentially depending on the disorder level in agreement with a 2D matrix evolution model such as in the spatial case. The relative position of the momentum gap appearing in the time modulated systems plays a central role in the wave field evolution. When tuning the excitation to compensate for the damping, transient waves, localized in time, appear on the liquid surface. They result from a particular history of the multiple interferences produced by a specific sequence of time boundaries.

Automated summary

In this study, we investigate and implement the temporal analog in time disordered systems. We introduce randomly distributed temporal interfaces to a spatially homogeneous medium to create a temporal structure. The observed wave field is the result of interference between reflected and refracted waves on the interfaces. The growth of waves exponentially depends on the disorder level, similar to the evolution model in spatial cases. The relative position of the momentum gap in time modulated systems plays a crucial role in wave field evolution. By compensating for damping with tuned excitation, localized transient waves appear on the liquid surface, resulting from a specific history of multiple interferences.