Inverse Scattering Problems of Reconstructing Perfectly Electric Conductors With TE Illumination

In this paper, the reconstruction of perfectly electric conductor (PEC) scatterers with transverse electric (TE) wave illumination is investigated using the continuous-type subspace-based optimization method (SOM). The PEC scatterers can be of arbitrary locations, shapes and quantities and no prior information about the scatterers is required in the reconstructions. Compared with the transverse magnetic (TM) counterpart, the TE case is not only mathematically more complex, but also numerically more demanding in the sense that the triangular basis is used to represent induced electric current. Moreover, under better mesh strategy and more strict objective function, numerical simulations for arbitrary PEC scatterers generate satisfactory results and are well robust against noise. The algorithm is also examined under the experimental scattering data and still obtains good reconstruction results.

[1]  R. Kleinman,et al.  Modified gradient approach to inverse scattering for binary objects in stratified media , 1996 .

[2]  Aria Abubakar,et al.  The contrast source inversion method for location and shape reconstructions , 2002 .

[3]  Xudong Chen,et al.  A multipole-expansion based linear sampling method for solving inverse scattering problems. , 2010, Optics express.

[4]  Weng Cho Chew,et al.  Local shape function combined with genetic algorithm applied to inverse scattering for strips , 1997 .

[5]  Ioannis T. Rekanos,et al.  Shape Reconstruction of a Perfectly Conducting Scatterer Using Differential Evolution and Particle Swarm Optimization , 2008, IEEE Transactions on Geoscience and Remote Sensing.

[6]  Xiaoyun Zhang,et al.  Microwave Imaging of Soil Water Diffusion Using the Linear Sampling Method , 2011, IEEE Geoscience and Remote Sensing Letters.

[7]  Anyong Qing,et al.  Electromagnetic inverse scattering of multiple two-dimensional perfectly conducting objects by the differential evolution strategy , 2003 .

[8]  C. Chiu,et al.  Image reconstruction of a perfectly conducting cylinder by the genetic algorithm , 1996 .

[9]  Takashi Takenaka,et al.  Image Reconstruction of Two-Dimensional Impenetrable Objects Using Genetic Algorithm , 1999 .

[10]  Xudong Chen,et al.  Twofold subspace-based optimization method for solving inverse scattering problems , 2009 .

[11]  R. Mittra,et al.  Computational Methods for Electromagnetics , 1997 .

[12]  Xudong Chen,et al.  Subspace-based optimization method for reconstructing extended scatterers: transverse electric case. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.

[13]  A. Qing.  Electromagnetic imaging of two-dimensional perfectly conducting cylinders with transverse electric scattered field , 2002 .

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

[15]  Tommaso Isernia,et al.  Electromagnetic inverse scattering: Retrievable information and measurement strategies , 1997 .

[16]  Xudong Chen,et al.  MUSIC Algorithm for Two-Dimensional Inverse Problems With Special Characteristics of Cylinders , 2008, IEEE Transactions on Antennas and Propagation.

[17]  Francesco Soldovieri,et al.  Physical Optics Imaging of 3-D PEC Objects: Vector and Multipolarized Approaches , 2010, IEEE Transactions on Geoscience and Remote Sensing.

[18]  G. Franceschetti,et al.  On the degrees of freedom of scattered fields , 1989 .

[19]  Lorenzo Crocco,et al.  Improving the reconstruction capabilities in inverse scattering problems by exploitation of close-proximity setups , 1999 .

[20]  Peter Monk,et al.  The Linear Sampling Method for Solving the Electromagnetic Inverse Scattering Problem , 2002, SIAM J. Sci. Comput..

[21]  M. Saillard,et al.  Special section: Testing inversion algorithms against experimental data , 2001 .

[22]  Xudong Chen.  Subspace-based optimization method for inverse scattering problems with an inhomogeneous background medium , 2010 .

[23]  Andrea Massa,et al.  Multiresolution subspace-based optimization method for inverse scattering problems. , 2011, Journal of the Optical Society of America. A, Optics, image science, and vision.

[24]  Xudong Chen,et al.  MUSIC Imaging and Electromagnetic Inverse Scattering of Multiple-Scattering Small Anisotropic Spheres , 2007, IEEE Transactions on Antennas and Propagation.

[25]  F. Soldovieri,et al.  Beyond physical optics SVD shape reconstruction of metallic cylinders , 2006, IEEE Transactions on Antennas and Propagation.

[26]  Xudong Chen,et al.  An FFT Twofold Subspace-Based Optimization Method for Solving Electromagnetic Inverse Scattering Problems , 2011, IEEE Transactions on Antennas and Propagation.

[27]  G. Thiele,et al.  Nonuniform currents on a wedge illuminated by a TE plane wave , 1986 .

[28]  Xudong Chen,et al.  Reconstructing perfectly electric conductors by the subspace-based optimization method with continuous variables , 2011 .

[29]  F. Santosa,et al.  Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set , 1998 .