Beam-based back-propagation and MUSIC imaging

We present beam-based imaging algorithms using back-propagation and MUSIC, utilizing data measured by arrays of point sources and receivers (transducers). In this approach, the measured point-source/receiver data is first converted into a beam-domain data, where the source and the receiver arrays are described by phase-space sets of beam waves. The beam-domain data describes the scattering amplitudes “measured” by each receiver beam due to each source beam. The images are then formed via two techniques, the first is based on a back propagation of the scattered beam fields and correlation with the incident beam fields. The second is based on a MUSIC analysis in the beam domain. Both schemes take advantage of the spatial localization of the beam fields and the resulting sparsity of the beam-domain data, which is localized around the source-receiver beam pairs that intersect near the targets.