Microwave imaging of two‐dimensional dielectric cylinders with a multiscaled frequency hopping approach

A multiscaled multifrequency method for inverse profiling of 2D dielectric cylinders is presented. The inverse problem is solved at all frequency hops using a multiscale scheme: the problem is solved at a coarse resolution where it is more stable, and this solution is used as a starting estimate for solving the problem at progressively increasing scales. Multiscaling reduces the risk of the solution getting trapped in a local minimum with respect to the deterministic optimization method employed for the inverse-scattering problem. Thus, better initial estimates are provided for the iterations at higher frequencies. Testing the strategy on synthetic multifrequency data provides promising results. © 2004 Wiley Periodicals, Inc. Microwave Opt Technol Lett 43: 353–355, 2004; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20467

[1]  A. N. Tikhonov,et al.  Solutions of ill-posed problems , 1977 .

[2]  P. M. Berg,et al.  A modified gradient method for two-dimensional problems in tomography , 1992 .

[3]  A. Massa,et al.  A new methodology based on an iterative multiscaling for microwave imaging , 2003 .

[4]  K. T. Mathew,et al.  Coupling medium for microwave medical imaging applications , 2003 .

[5]  J. Richmond.  Scattering by a dielectric cylinder of arbitrary cross section shape , 1965 .

[6]  J. Hadamard,et al.  Lectures on Cauchy's Problem in Linear Partial Differential Equations , 1924 .

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

[8]  Jean-Paul Hugonin,et al.  Microwave imaging-complex permittivity reconstruction-by simulated annealing , 1991 .

[9]  W. Chew.  Waves and Fields in Inhomogeneous Media , 1990 .

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

[11]  Matteo Pastorino,et al.  A microwave inverse scattering technique for image reconstruction based on a genetic algorithm , 2000, IEEE Trans. Instrum. Meas..

[12]  R. Kleinman,et al.  Microwave imaging-Location and shape reconstruction from multifrequency scattering data , 1997 .

[13]  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.

[14]  C. Pichot,et al.  Microwave imaging-complex permittivity reconstruction with a Levenberg-Marquardt method , 1997 .