Phaseless Imaging by Reverse Time Migration: Acoustic Waves

TL;DR

This paper introduces a reverse time migration method for acoustic obstacle imaging using phaseless data, achieving resolution comparable to phase-inclusive methods and demonstrating high imaging quality through numerical tests.

Contribution

It presents a novel direct imaging technique that works with phaseless data, matching the resolution of traditional phase-based methods.

Findings

Imaging resolution is comparable to full phase data methods.

Imaginary part of the imaging functional peaks on obstacle boundaries.

Numerical experiments confirm high imaging quality.

Abstract

We propose a reliable direct imaging method based on the reverse time migration for finding extended obstacles with phaseless total field data. We prove that the imaging resolution of the method is essentially the same as the imaging results using the scattering data with full phase information. The imaginary part of the cross-correlation imaging functional always peaks on the boundary of the obstacle. Numerical experiments are included to illustrate the powerful imaging quality.