Application of finite-difference time domain and dynamic differential evolution for inverse scattering of a two-dimensional perfectly conducting cylinder in slab medium

We apply the dynamic differential evolution (DDE) algorithm to solve the inverse scattering problem for which a two-dimensional perfectly conducting cylinder with unknown cross section is buried in a dielectric slab medium. The finite-difference time domain method is used to solve the scattering electromagnetic wave of a perfectly conducting cylinder. The inverse problem is resolved by an optimization approach, and the global searching scheme DDE is then employed to search the parameter space. By properly processing the scattered field, some electromagnetic properties can be reconstructed. One is the location of the conducting cylinder, the others is the shape of the perfectly conducting cylinder. This method is tested by several numerical examples, and it is found that the performance of the DDE is robust for reconstructing the perfectly conducting cylinder. Numerical simulations show that even when the measured scattered fields are contaminated with Gaussian noise, the quality of the reconstructed results obtained by the DDE algorithm is very good.

[1]  Wei Chien,et al.  Using NU-SSGA to reduce the searching time in inverse problem of a buried metallic object , 2005, IEEE Transactions on Antennas and Propagation.

[2]  P. Sabatier,et al.  Theoretical considerations for inverse scattering , 1983 .

[3]  Abbas Semnani,et al.  Reconstruction of One-Dimensional Dielectric Scatterers Using Differential Evolution and Particle Swarm Optimization , 2009, IEEE Geoscience and Remote Sensing Letters.

[4]  William Harold Weedon Broadband microwave inverse scattering: Theory and experiment , 1994 .

[5]  Anyong Qing,et al.  Dynamic differential evolution strategy and applications in electromagnetic inverse scattering problems , 2006, IEEE Trans. Geosci. Remote. Sens..

[6]  A. Semnani,et al.  An Enhanced Hybrid Method for Solving Inverse Scattering Problems , 2009, IEEE Transactions on Magnetics.

[7]  V. P. Cable,et al.  FDTD local grid with material traverse , 1997 .

[8]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[9]  I. S. Kim,et al.  A local mesh refinement algorithm for the time domain-finite difference method using Maxwell's curl equations , 1990 .

[10]  Chien-Ching Chiu,et al.  TIME DOMAIN INVERSE SCATTERING OF A TWO-DIMENSIONAL HOMOGENOUS DIELECTRIC OBJECT WITH ARBITRARY SHAPE BY PARTICLE SWARM OPTIMIZATION , 2008 .

[11]  R. Storn,et al.  Differential Evolution - A simple and efficient adaptive scheme for global optimization over continuous spaces , 2004 .

[12]  Carl de Boor,et al.  A Practical Guide to Splines , 1978, Applied Mathematical Sciences.

[13]  Donald G. Dudley,et al.  A new approximation and a new measurable constraint for slab profile inversion , 1996, IEEE Trans. Geosci. Remote. Sens..

[14]  Takashi Takenaka,et al.  Microwave Imaging of Electrical Property Distributions By a Forward-Backward Time-Stepping Method , 2000 .

[15]  Ching-Lieh Li,et al.  Optimization of a PML absorber's conductivity profile using FDTD , 2003 .

[16]  Ibrahim Akduman,et al.  Inverse scattering for an impedance cylinder buried in a dielectric cylinder , 2009 .

[18]  Andrew E. Yagle,et al.  On the feasibility of impulse reflection response data for the two-dimensional inverse scattering problem , 1996 .

[19]  C. Chiu,et al.  Electromagnetic Imaging for Inhomogeneous Dielectric Cylinder Buried in a Slab Medium , 2009 .

[20]  Weng Cho Chew,et al.  Comparison of the born iterative method and tarantola's method for an electromagnetic time‐domain inverse problem , 1991, Int. J. Imaging Syst. Technol..

[21]  S.,et al.  Numerical Solution of Initial Boundary Value Problems Involving Maxwell’s Equations in Isotropic Media , 1966 .

[22]  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.

[23]  C. Chiu,et al.  Electromagnetic Transverse Electric Wave Inverse Scattering of a Partially Immersed Conductor by Steady-State Genetic Algorithm , 2008 .

[24]  C. Liao,et al.  Image Reconstruction of Arbitrary Cross Section Conducting Cylinder Using UWB Pulse , 2007 .

[25]  Daniel S. Weile,et al.  Greedy search and a hybrid local optimization/genetic algorithm for tree‐based inverse scattering , 2008 .

[26]  Ioannis T. Rekanos,et al.  TIME-DOMAIN INVERSE SCATTERING USING LAGRANGE MULTIPLIERS: AN ITERATIVE FDTD-BASED OPTIMIZATION TECHNIQUE , 2003 .

[27]  Anyong Qing A study on base vector for differential evolution , 2008, 2008 IEEE Congress on Evolutionary Computation (IEEE World Congress on Computational Intelligence).

[28]  A. Rydberg,et al.  Synthesis of uniform amplitude unequally spaced antenna arrays using the differential evolution algorithm , 2003 .