Coherent microscopy at resolution beyond diffraction limit using post-experimental data extrapolation

TL;DR

This paper introduces a method in coherent microscopy that leverages wave superposition and interference to extrapolate beyond the diffraction limit, enabling higher resolution imaging from limited data.

Contribution

It presents a novel approach that uses post-experimental data extrapolation in coherent microscopy to surpass traditional resolution limits.

Findings

Resolution beyond diffraction limit achieved

Retrospective recovery of hidden object details

Effective extrapolation from limited interference data

Abstract

Conventional microscopic records represent intensity distributions whereby local sample information is mapped onto local information at the detector. In coherent microscopy, the superposition principle of waves holds; field amplitudes are added, not intensities. This non-local representation is spread out in space and interference information combined with wave continuity allows extrapolation beyond the actual detected data. Established resolution criteria are thus circumvented and hidden object details can retrospectively be recovered from just a fraction of an interference pattern.