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Published January 23, 2004 | Published
Journal Article Open

Time Reversal and Its Application to Tomography with Diffracting Sources


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.

Additional Information

© 2004 The American Physical Society. Received 22 August 2003; published 23 January 2004. We are grateful to Minhua Xu for useful discussion about this study. This project was sponsored in part by U.S. Army Medical Research and Material Command Grant No. DAMD17-00-1-0455, National Institutes of Health Grant No. R01 EB000712, and Texas Higher Education Coordinating Board Grant No. ARP 000512-0063-2001.

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Published - PhysRevLett.92.033902.pdf


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