Department of Mathematics
 Search | Help | Login

Math @ Duke





.......................

.......................


Publications [#353771] of Hongkai Zhao

Papers Published

  1. Blomgren, P; Papanicolaou, G; Zhao, H, Super-resolution in time-reversal acoustics, The Journal of the Acoustical Society of America, vol. 111 no. 1 (January, 2002), pp. 230-248, Acoustical Society of America (ASA) [doi]
    (last updated on 2026/01/14)

    Abstract:
    The phenomenon of super-resolution in time-reversal acoustics is analyzed theoretically and with numerical simulations. A signal that is recorded and then retransmitted by an array of transducers, propagates back though the medium, and refocuses approximately on the source that emitted it. In a homogeneous medium, the refocusing resolution of the time-reversed signal is limited by diffraction. When the medium has random inhomogeneities the resolution of the refocused signal can in some circumstances beat the diffraction limit. This is super-resolution. A theoretical treatment of this phenomenon is given, and numerical simulations which confirm the theory are presented.

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320


x