Multifrequency interferometric imaging with intensity-only measurements

TL;DR

This paper introduces a new interferometric imaging method that enables depth recovery using only intensity measurements, eliminating the need for phase reconstruction and maintaining resolution in homogeneous media.

Contribution

It presents a novel illumination strategy for interferometric imaging that allows for robust depth recovery from intensity-only data without phase reconstruction.

Findings

All interferometric data can be recovered from intensity-only measurements with sufficient diversity.

No resolution loss occurs in homogeneous media when imaging with intensity-only data.

Robust imaging in inhomogeneous media is achievable by restricting data to nearby array elements and frequencies.

Abstract

We propose an illumination strategy for interferometric imaging that allows for robust depth recovery from intensity-only measurements. For an array with colocated sources and receivers, we show that all the possible interferometric data for multiple sources, receivers and frequencies can be recovered from intensity-only measurements provided that we have sufficient source location and frequency illumination diversity. There is no need for phase reconstruction in this approach. Using interferometric imaging methods we show that in homogeneous media there is no loss of resolution when imaging with intensities-only. If in these imaging methods we reduce incoherence by restricting the multifrequency interferometric data to nearby array elements and nearby frequencies we obtain robust images in weakly inhomogeneous background media with a somewhat reduced resolution.