Consider the acoustic wave equation with unknown wave speed c, not necessarily smooth. We propose and study an iterative control procedure that erases the history of a wave field up to a given depth in a medium, without any knowledge of c. In the context of seismic or ultrasound imaging, this can be viewed as removing multiple reflections from normal-directed wavefronts.
CITATION STYLE
Caday, P., de Hoop, M. V., Katsnelson, V., & Uhlmann, G. (2019). Scattering Control for the Wave Equation with Unknown Wave Speed. Archive for Rational Mechanics and Analysis, 231(1), 409–464. https://doi.org/10.1007/s00205-018-1283-8
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