Target identification enhancement using a combination of linear sampling method and adjoint sensitivity analysis

This study describes a technique for complete identification of a two-dimensional scattering object using microwaves where the scatterer is assumed to be a homogenous dielectric medium. The employed technique assumes no prior knowledge of the scatter's material properties like electric permittivity and conductivity, and the far-field pattern is used as the only primary information in identification. The hybrid approach proposed consists of initially retrieving the shape and the position of the scattering object using a linear sampling method and then determining the electric permittivity and conductivity of the scatterer using adjoint sensitivity analysis. The technique results in high computational speed, efficiency and stability. In addition, the technique can be generalised for any scatterer structure. Numerical results are used to validate the feasibility of the proposed approach.

[1]  M. Eskandari,et al.  Inverse scattering method based on contour deformations using a fast marching method , 2010 .

[2]  R. Kress,et al.  Using fundamental solutions in inverse scattering , 2006 .

[3]  C. Vogel.  Computational Methods for Inverse Problems , 1987 .

[4]  M. Pastorino,et al.  A Hybrid Approach to 3D Microwave Imaging by Using Linear Sampling and ACO , 2008, IEEE Transactions on Antennas and Propagation.

[5]  T. Isernia,et al.  Improved Sampling Methods for Shape Reconstruction of 3-D Buried Targets , 2008, IEEE Transactions on Geoscience and Remote Sensing.

[7]  Shape reconstruction of a 2D-elastic penetrable object via the L-curve method , 2006 .

[8]  D. Colton,et al.  The inverse electromagnetic scattering problem for a partially coated dielectric , 2007 .

[9]  D. Colton,et al.  The linear sampling method in inverse electromagnetic scattering theory , 2003 .

[10]  Domain sensitivity analysis of the elastic far-field patterns in scattering from nonsmooth obstacles , 2002 .

[11]  C. Chiu,et al.  Electromagnetic imaging for an imperfectly conducting cylinder by the genetic algorithm [medical application] , 2000 .

[12]  Roland Potthast,et al.  Stability estimates and reconstructions in inverse acoustic scattering using singular sources , 2000 .

[13]  Manuel Benedetti,et al.  An Innovative Microwave-Imaging Technique for Nondestructive Evaluation: Applications to Civil Structures Monitoring and Biological Bodies Inspection , 2006, IEEE Transactions on Instrumentation and Measurement.

[14]  Vitalii P. Tanana,et al.  Theory of Linear Ill-Posed Problems and its Applications , 2002 .

[15]  Fioralba Cakoni,et al.  The linear sampling method for anisotropic media , 2002 .

[16]  M. Piana,et al.  The use of constraints for solving inverse scattering problems: physical optics and the linear sampling method , 2005 .

[17]  Zhimin Zhou,et al.  Refraction and Dispersion Effects Compensation for UWB SAR Subsurface Object Imaging , 2007, IEEE Transactions on Geoscience and Remote Sensing.

[18]  D. Colton,et al.  Target identification of coated objects , 2006, IEEE Transactions on Antennas and Propagation.

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

[20]  Massimo Brignone,et al.  An inverse scattering based hybrid method for the measurement of the complex dielectric permittivities of arbitrarily shaped homogenous targets , 2009, 2009 IEEE Instrumentation and Measurement Technology Conference.

[21]  Obstacle visualization via the factorization method for the mixed boundary value problem , 2002 .

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

[23]  Rainer Kress,et al.  Linear sampling methods for inverse boundary value problems in potential theory , 2002 .

[24]  M. Hesaaraki,et al.  The singular sources method for an inverse problem with mixed boundary conditions , 2005 .

[25]  Werner Wiesbeck,et al.  Detection of Antipersonnel Mines by Using the Factorization Method on Multistatic Ground-Penetrating Radar Measurements , 2007, IEEE Transactions on Geoscience and Remote Sensing.

[26]  Fioralba Cakoni,et al.  Qualitative Methods in Inverse Scattering Theory: An Introduction , 2005 .

[27]  James G. Berryman,et al.  Sensitivity analysis of a nonlinear inversion method for 3D electromagnetic imaging in anisotropic media , 2002 .

[28]  Michele Piana,et al.  The use of the linear sampling method for obtaining super-resolution effects in Born approximation , 2007 .

[29]  D. Colton,et al.  A simple method using Morozov's discrepancy principle for solving inverse scattering problems , 1997 .

[30]  R. Kress,et al.  Inverse Acoustic and Electromagnetic Scattering Theory , 1992 .

[31]  David Colton,et al.  Qualitative Methods in Inverse Scattering Theory , 1997 .

[32]  M. Pastorino.  Stochastic Optimization Methods Applied to Microwave Imaging: A Review , 2007, IEEE Transactions on Antennas and Propagation.

[33]  A. Kirsch.  The factorization method for Maxwell's equations , 2004 .

[34]  Walton C. Gibson,et al.  The Method of Moments in Electromagnetics , 2007 .

[35]  Fermín S. V. Bazán,et al.  Fixed-point iterations in determining the Tikhonov regularization parameter , 2008 .

[36]  Francesco Soldovieri,et al.  Shape reconstruction of perfectly conducting objects by multiview experimental data , 2005, IEEE Transactions on Geoscience and Remote Sensing.