# Beyond sub-Rayleigh imaging via high order correlation of speckle illumination

## TL;DR

This paper demonstrates that higher order intensity cumulants of speckle illumination can significantly improve imaging resolution beyond the Rayleigh limit, with experimental results up to 20th order showing enhanced visibility.

## Contribution

The study provides experimental evidence that higher order intensity cumulants outperform second order correlations in resolution and visibility, extending imaging capabilities beyond traditional limits.

## Key findings

- Resolution beyond second order correlations achieved
- Visibility of cumulant correlations is increased
- Experimental results up to 20th order correlations

## Abstract

Second order intensity correlations of speckle illumination are extensively used in imaging applications that require going beyond the Rayleigh limit. The theoretical analysis shows that significantly improved imaging can be extracted from the study of increasingly higher order intensity cumulants. We provide experimental evidence by demonstrating resolution beyond what is achievable by second order correlations. We present results up to 20th order. We also show an increased visibility of cumulant correlations compared to moment correlations. Our findings clearly suggest the benefits of using higher order intensity cumulants in other disciplines like astronomy and biology.