title: Time reversal and its application to tomography with diffracting sources.
abstract: An exact time-domain method is proposed to time reverse a transient scalar wave using only the field measured on an arbitrary closed surface enclosing the initial source. Under certain conditions, a time-reversed field can be approximated by retransmitting the measured signals in a reversed temporal order. Exact reconstruction for three-dimensional broadband diffraction tomography (a linearized inverse scattering problem) is proposed by time-reversing the measured field back to the time when each secondary source is excited. The algorithm is verified by a numerical simulation. Extension to the case using Green's function in a heterogeneous medium is discussed.
authors.affiliation: Optical Imaging Laboratory, Department of Biomedical Engineering, Texas A&M University, 3120 TAMU, College Station, Texas 77843-3120, USA.
authors.forename: Yuan
authors.initials: Y
authors.lastname: Xu
authors.forename: Lihong V
authors.initials: LV
authors.lastname: Wang
mesh_terms: D000162:Acoustics; D000465:Algorithms; D008962:Models, Theoretical; D011827:Radiation; D014054:Tomography / Q000379:methods*