# High-Resolution Interferometric Synthetic Aperture Imaging in scattering media

## TL;DR

This paper presents a high-resolution interferometric synthetic aperture imaging method that effectively mitigates wave distortion in scattering media, enabling sharp imaging through a phase retrieval process.

## Contribution

It introduces a novel high-resolution interferometric approach based on CINT that preserves image sharpness despite scattering distortions.

## Key findings

- Mitigates wave distortion using empirical cross-correlations.
- Achieves robust estimation of the Fourier modulus of reflectivity.
- Enables high-resolution imaging via phase retrieval.

## Abstract

The goal of synthetic aperture imaging is to estimate the reflectivity of a remote region of interest by processing data gathered with a moving sensor which emits periodically a signal and records the backscattered wave. We introduce and analyze a high-resolution interferometric method for synthetic aperture imaging through an unknown scattering medium which distorts the wave. The method builds on the coherent interferometric (CINT) approach which uses empirical cross-correlations of the measurements to mitigate the distortion, at the expense of a loss of resolution of the image. The new method shows that, while mitigating the wave distortion, it is possible to obtain a robust and sharp estimate of the modulus of the Fourier transform of the reflectivity function. A high-resolution image can then be obtained by a phase retrieval algorithm.