A direct imaging algorithm for extended targets

We present a direct imaging algorithm for extended targets. The algorithm is based on a physical factorization of the response matrix of a transducer array. The multi-signal classification imaging function is used to visualize the results. A resolution and noise level-based thresholding strategy is developed for regularization. The algorithm is simple and efficient since no forward solver or iteration is needed. Multiple-frequency information improves both resolution and stability of the algorithm. Efficiency and robustness of the algorithm with respect to measurement noise and random medium fluctuations are demonstrated.

[1]  D H Chambers,et al.  Analysis of the time-reversal operator for scatterers of finite size. , 2002, The Journal of the Acoustical Society of America.

[2]  A. Devaney,et al.  Time-reversal imaging with multiple signal classification considering multiple scattering between the targets , 2004 .

[3]  James G. Berryman,et al.  Time-reversal analysis for scatterer characterization. , 2003, Physical review letters.

[4]  Jean-Gabriel Minonzio,et al.  Characterization of subwavelength elastic cylinders with the decomposition of the time-reversal operator: theory and experiment. , 2005, The Journal of the Acoustical Society of America.

[5]  D H Chambers,et al.  Time reversal for a single spherical scatterer. , 2001, The Journal of the Acoustical Society of America.

[6]  J L Thomas,et al.  Time reversal and the inverse filter. , 2000, The Journal of the Acoustical Society of America.

[7]  Margaret Cheney,et al.  The Linear Sampling Method and the MUSIC Algorithm , 2001 .

[8]  M Fink,et al.  Imaging in the presence of grain noise using the decomposition of the time reversal operator. , 2003, The Journal of the Acoustical Society of America.

[9]  Mathias Fink,et al.  Decomposition of the time reversal operator: Detection and selective focusing on two scatterers , 1996 .

[10]  D. Chambers,et al.  Erratum: Time reversal for a single spherical scatterer [J. Acoust. Soc. Am. 109(6), 2616–2624 (2001)] , 2005 .

[11]  A. Kirsch,et al.  A simple method for solving inverse scattering problems in the resonance region , 1996 .

[12]  Mathias Fink,et al.  The iterative time reversal process: Analysis of the convergence , 1995 .

[13]  Mickael Tanter,et al.  Real time inverse filter focusing by iterative time reversal , 2002 .

[14]  Knut Sølna,et al.  Time reversal of parabolic waves and two-frequency Wignerdistribution , 2006 .

[15]  Andrew J. Poggio,et al.  Time reversal and the spatio-temporal matched filter (L) , 2004 .

[16]  Mathias Fink,et al.  Revisiting iterative time reversal processing: application to detection of multiple targets. , 2004, The Journal of the Acoustical Society of America.

[17]  Hongkai Zhao,et al.  Imaging of location and geometry for extended targets using the response matrix , 2004 .

[18]  Hongkai Zhao,et al.  Analysis of the Response Matrix for an Extended Target , 2004, SIAM J. Appl. Math..

[19]  Claire Prada,et al.  Experimental subwavelength localization of scatterers by decomposition of the time reversal operator interpreted as a covariance matrix. , 2003, The Journal of the Acoustical Society of America.

[20]  Andreas Kirsch,et al.  Characterization of the shape of a scattering obstacle using the spectral data of the far field operator , 1998 .

[21]  A. Kirsch The MUSIC-algorithm and the factorization method in inverse scattering theory for inhomogeneous media , 2002 .

[22]  C. Prada,et al.  Ultrasonic nondestructive testing of scattering media using the decomposition of the time-reversal operator , 2002, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[23]  D.H. Chambers,et al.  Analysis of the time-reversal operator for a small spherical scatterer in an electromagnetic field , 2004, IEEE Transactions on Antennas and Propagation.

[24]  Peter Monk,et al.  Recent Developments in Inverse Acoustic Scattering Theory , 2000, SIAM Rev..

[25]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[26]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[27]  D. Russell Luke Image Synthesis for Inverse Obstacle Scattering Using the Eigenfunction Expansion Theorem , 2004, Computing.

[28]  Mathias Fink,et al.  Real time inverse filter focusing through iterative time reversal. , 2004, The Journal of the Acoustical Society of America.