Temporal shaping of wave fields for optimally precise measurements in scattering environments
arXiv:2211.16903 · doi:10.1103/PhysRevResearch.5.013144
Abstract
A wave propagating through a scattering medium typically yields a complex temporal field distribution. Over the years, a number of procedures have emerged to shape the temporal profile of the field in order to temporally focus its energy on a receiver. By analogy, we theoretically and experimentally demonstrate here how to maximize the total Fisher information transmitted to a receiver, and how to focus the Fisher information at any given time. This enables one to estimate the value of any physical observable with optimal precision from noisy measurements, as experimentally illustrated using acoustic waves in the ultrasound regime. By yielding the ultimate precision limit achievable from time-resolved measurements performed in arbitrarily complex media, our approach sets a general benchmark for many applications such as structural health monitoring and biomedical imaging.
References in corpus (6)
- Light fields in complex media: mesoscopic scattering meets wave control
- Universal optimal transmission of light through disordered materials
- Control of light transmission through opaque scattering media in space and time
- Non-line-of-sight Imaging
- Full transmission and reflection of waves propagating through a maze of disorder
- Deterministic light focusing in space and time through multiple scattering media with a Time-Resolved Transmission Matrix approach