Influence of the local scattering environment on the localization precision of single particles

Abstract

We study the fundamental limit on the localization precision for a subwavelength scatterer embedded in a strongly scattering environment, using the external degrees of freedom provided by wavefront shaping. For a weakly scattering target, the localization precision improves with the value of the local density of states at the target position. For a strongly scattering target, the localization precision depends on the dressed polarizability that includes the back action of the environment. This numerical study provides new insights for the control of the information content of scattered light by wavefront shaping, with potential applications in sensing, imaging, and nanoscale engineering.

arXiv comment5 pages, 5 figures, + SI

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• Invariance property of the Fisher information in scattering media
• Resampling the transmission matrix in an aberration-corrected Bessel mode basis
• How to find optimal quantum states for optical micromanipulation and metrology in complex scattering problems: tutorial
• Model-free estimation of the Cramér-Rao bound for deep-learning microscopy in complex media
• Temporal shaping of wave fields for optimally precise measurements in scattering environments