Frequency Domain Inverse Profiling of Buried Dielectric Elliptical-Cylindrical Objects Using Evolutionary Programming

An efficient method based on the evolutionary programming (EP) technique is proposed for inverse profiling of 2-D buried dielectric objects with elliptical cross sections. In particular, EP with Cauchy mutation operator (EP-CMO), as its first reported implementation to inverse problems, is utilized as a stochastic optimization tool for quantitatively reconstructing buried objects. Moreover, the method of moments technique in conjunction with conjugate gradient-fast Fourier transform method is used, as a fast and simple frequency domain forward solver, in each iteration of the proposed method. Numerical results for different case studies are presented and analyzed. To assess the proposed EP-CMO method, the results are also compared statistically with that of three other well-known optimization techniques, namely, EP with Gaussian mutation, particle swarm optimization, and genetic algorithms. The results reveal that EP-CMO is a significantly more robust and efficient optimization tool in reconstruction of this class of buried objects.

[1]  Dominique Lesselier,et al.  Buried, 2-D penetrable objects illuminated by line-sources: FFT-based iterative computations of the anomalous field , 1991 .

[2]  David L. Alumbaugh,et al.  Electromagnetic conductivity imaging with an iterative Born inversion , 1993, IEEE Trans. Geosci. Remote. Sens..

[3]  Xin Yao,et al.  Evolutionary programming made faster , 1999, IEEE Trans. Evol. Comput..

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

[5]  P. Rocca,et al.  Evolutionary optimization as applied to inverse scattering problems , 2009 .

[6]  A. Hoorfar Evolutionary Programming in Electromagnetic Optimization: A Review , 2007, IEEE Transactions on Antennas and Propagation.

[7]  Ahad Tavakoli,et al.  Inverse Profiling of Inhomogeneous Subsurface Targets With Arbitrary Cross Sections Using Covariance Matrix Adaptation Evolution Strategy , 2017, IEEE Geoscience and Remote Sensing Letters.

[8]  Hui Huang,et al.  A comparative study of evolutionary programming, genetic algorithms and particle swarm optimization in antenna design , 2007, 2007 IEEE Antennas and Propagation Society International Symposium.

[9]  Evert Slob,et al.  GPR Imaging Via Qualitative and Quantitative Approaches , 2015 .

[10]  Takashi Takenaka,et al.  Conjugate gradient method applied to inverse scattering problem , 1995 .

[11]  Kama Huang,et al.  MICROWAVE IMAGING OF BURIED INHOMOGENEOUS OBJECTS USING PARALLEL GENETIC ALGORITHM COMBINED WITH FDTD METHOD , 2005 .

[12]  P. Rocca,et al.  Differential Evolution as Applied to Electromagnetics , 2011, IEEE Antennas and Propagation Magazine.

[13]  V. Rahmat-Samii,et al.  Genetic algorithms in engineering electromagnetics , 1997 .

[14]  David B. Fogel,et al.  Evolutionary Computation: Towards a New Philosophy of Machine Intelligence , 1995 .

[15]  Wei-Tsong Lee,et al.  Nondestructive Evaluation of Buried Dielectric Cylinders by Asynchronous Particle Swarm Optimization , 2015 .

[16]  Andrea Massa,et al.  Reconstruction of two-dimensional buried objects by a differential evolution method , 2004 .

[17]  Thomas Bäck,et al.  Evolutionary computation: Toward a new philosophy of machine intelligence , 1997, Complex..

[18]  A. Massa,et al.  Computational approach based on a particle swarm optimizer for microwave imaging of two-dimensional dielectric scatterers , 2005, IEEE Transactions on Microwave Theory and Techniques.

[19]  Y. Rahmat-Samii,et al.  Particle swarm optimization in electromagnetics , 2004, IEEE Transactions on Antennas and Propagation.