# Synthetic aperture imaging with intensity-only data

## TL;DR

This paper introduces a novel algorithm for synthetic aperture imaging using intensity-only data, enabling coherent imaging by recovering phase information from intensity measurements across multiple frequencies and locations.

## Contribution

It presents a new method to recover field cross-correlations and synchronize phase data from intensity-only measurements in synthetic aperture imaging.

## Key findings

- Successfully recovers phase information up to a common phase
- Enables coherent imaging with intensity-only data
- Works across multiple frequencies and measurement locations

## Abstract

We consider imaging the reflectivity of scatterers from intensity-only data recorded by a single moving transducer that both emits and receives signals, forming a synthetic aperture. By exploiting frequency illumination diversity, we obtain multiple intensity measurements at each location, from which we determine field cross-correlations using an appropriate phase controlled illumination strategy and the inner product polarization identity. The field cross-correlations obtained this way do not, however, provide all the missing phase information because they are determined up to a phase that depends on the receiver's location. The main result of this paper is an algorithm with which we recover the field cross-correlations up to a single phase that is common to all the data measured over the synthetic aperture, so all the data are synchronized. Thus, we can image coherently with data over all frequencies and measurement locations as if full phase information was recorded.