Scattering Control for the Wave Equation with Unknown Wave Speed

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...

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Veröffentlicht in:	Archive for rational mechanics and analysis 2019-01, Vol.231 (1), p.409-464
Hauptverfasser:	Caday, Peter, de Hoop, Maarten V., Katsnelson, Vitaly, Uhlmann, Gunther
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical Mechanics Complex Systems Fluid- and Aerodynamics Mathematical and Computational Physics Physics Physics and Astronomy Theoretical Wave equations Wave fronts
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Beschreibung
Zusammenfassung:	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.
ISSN:	0003-9527 1432-0673
DOI:	10.1007/s00205-018-1283-8