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Although historically the Born or Rytov linear approximations have received a great deal of attention, it is now more apparent that only a full nonlinear formulation of the inverse scattering… (More)
We have previously reported fast algorithms for imaging by acoustical inverse scattering using the exact (not linearized) Helmholtz wave equation . We now report numerical implementations of these… (More)
An algorithm for the solution of a nonlinear inverse scattering problem in polar coordinates in ultrasonic tomography is presented. The scattering and diffraction of ultrasonic waves propagating… (More)
This paper explores the ill-conditioned nature of the inverse scattering problem when solving the exact Helmholtz equation for ultrasonic waves. A constrained reconstruction algorithm using the… (More)