Multiple-frequency distorted-wave Born approach to 2D inverse profiling

The present paper deals with the inversion from experimental data provided by Institut Fresnel, France. The distorted-wave Born iterative approach is applied to the reconstruction of two lossless configurations involving dielectric circular cylinders. The dynamic range and the resolution of this scheme are governed by the operating frequency. For a low frequency, the dynamic range is large and the resolution is limited; raising the frequency improves the resolution at the cost of dynamic range. To obtain a high resolution for a large contrast, scattered-field information at multiple frequencies can be used. This is demonstrated for two cases where a direct inversion does not lead to convergence.

[1]  W. Chew,et al.  Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method. , 1990, IEEE transactions on medical imaging.

[2]  Amélie Litman,et al.  Theoretical and computational aspects of 2-D inverse profiling , 2001, IEEE Trans. Geosci. Remote. Sens..

[3]  Anton G. Tijhuis,et al.  Transient scattering by a lossy dielectric cylinder: marching-on-in-frequency approach , 1993 .

[4]  A. G. Tijhuis,et al.  Marching-on-in-frequency method for solving integral equations in transient electromagnetic scattering , 1991 .

[5]  C. Pichot,et al.  Inverse scattering: an iterative numerical method for electromagnetic imaging , 1991 .

[6]  L. Jofre,et al.  Active microwave sensing of highly contrasted dielectric bodies , 1993 .

[7]  K. Belkebir,et al.  Using multiple frequency information in the iterative solution of a two-dimensional nonlinear inverse problem , 1996 .

[8]  Weng Cho Chew,et al.  Nonlinear two-dimensional velocity profile inversion using time domain data , 1992, IEEE Trans. Geosci. Remote. Sens..

[9]  M. Moghaddam,et al.  Nonlinear two-dimensional velocity profile inversion in the time domain , 1991, Antennas and Propagation Society Symposium 1991 Digest.

[10]  Yu Chen,et al.  Inverse scattering via Heisenberg's uncertainty principle , 1996 .

[11]  Weng Cho Chew,et al.  An iterative solution of the two‐dimensional electromagnetic inverse scattering problem , 1989, Int. J. Imaging Syst. Technol..

[12]  W. Chew,et al.  A frequency-hopping approach for microwave imaging of large inhomogeneous bodies , 1995, IEEE Antennas and Propagation Society International Symposium. 1995 Digest.

[13]  Riccardo Scattolini,et al.  Constrained receding-horizon predictive control , 1991 .

[14]  F.E. van Vliet,et al.  Two-dimensional Born-type velocity inversion using multiple-frequency information , 1994, Proceedings of IEEE Antennas and Propagation Society International Symposium and URSI National Radio Science Meeting.