Fault-tolerant and finite-error localization for point emitters within the diffraction limit

TL;DR

This paper presents a novel estimator using image inversion interferometry that accurately determines the separation between two incoherent point sources within the diffraction limit, demonstrating robustness to noise and misalignment.

Contribution

The paper introduces a finite-error estimator for source separation that works at the diffraction limit, advancing super-resolution imaging techniques.

Findings

Estimator achieves finite-error separation measurement.

Technique shows robustness to noise and misalignment.

Potential for high-resolution imaging applications.

Abstract

We implement an estimator for determining the separation between two incoherent point sources. This estimator relies on image inversion interferometry and when used with the appropriate data analytics, it yields an estimate of the separation with finite-error, even when the sources come arbitrarily close together. The experimental results show that the technique has a good tolerance to noise and misalignment, making it an interesting consideration for high resolution instruments.