Transient wave imaging of anomalies: a numerical study
Abstract
Asymptotic formulas, time reversal, kirchhoff imaging, back-propagation imaging, MUSIC imaging. In this paper, we first numerically test the validity of the asymptotic formulas for computing the scattered acoustic pressure by a small three-dimensional anomaly in the near and far fields. We then propose three methods for detecting the anomaly from far-field measurements. We implement time reversal, back-propagation, Kirchhoff and MUSIC imaging techniques.