Abstract
We present and experimentally verify a matrix approach for determining how to optimally sculpt an input wavefront in both space and time for any desired wave-control functionality, irrespective of the complexity of wave scattering. We leverage a singular-value decomposition of the transport matrix that fully captures how both the spatial and temporal degrees of freedom available to shape the input wavefront impact the output wavefront’s spatial and temporal form. In our experiments in the microwave domain, we use our formalism to successfully tackle three iconic wave-control tasks in a disordered cavity: (i) reflectionless transient excitation (“virtual perfect absorption”), (ii) optimal energy deposition, and (iii) scattering-invariant time-varying states.
5 More- Received 9 January 2023
- Revised 26 July 2023
- Accepted 22 September 2023
DOI:https://doi.org/10.1103/PhysRevApplied.20.054023
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