Abstract
We introduce a wave front shaping protocol for focusing inside disordered media based on a generalization of the established Wigner-Smith time-delay operator. The key ingredient for our approach is the scattering (or transmission) matrix of the medium and its derivative with respect to the position of the target one aims to focus on. A specific experimental realization in the microwave regime is presented showing that the eigenstates of a corresponding operator are sorted by their focusing strength-ranging from strongly focusing on the designated target to completely bypassing it. Our protocol works without optimization or phase conjugation and we expect it to be particularly attractive for optical imaging in disordered media.
Highlights
One of the most formidable challenges for imaging in complex environments is to overcome the limitations imposed by the presence of disorder
We introduce a wave front shaping protocol for focusing inside disordered media based on a generalization of the established Wigner-Smith time-delay operator
Nuclear scattering problems to deduce the time associated with a scattering event from stationary measurements of the asymptotic scattering amplitudes, this concept prominently resurfaced in mesoscopic physics [24] and very recently in attosecond physics [25] as well as in the newly emerging community of wave front shaping [4,26,27,28,29,30]
Summary
One of the most formidable challenges for imaging in complex environments is to overcome the limitations imposed by the presence of disorder. Philipp Ambichl,1 Andre Brandstötter,1 Julian Böhm,2 Matthias Kühmayer,1 Ulrich Kuhl,2 and Stefan Rotter1
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