Shape Reconstruction of Three-Dimensional Conducting Curved Plates Using Physical Optics, NURBS Modeling, and Genetic Algorithm

• Published in: IEEE transactions on antennas and propagation Vol. 54; no. 9; pp. 2497 - 2507
• Main Authors: Saeedfar, A., Barkeshli, K.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.09.2006; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Applied sciences; Computation; Conduction; Exact sciences and technology; Forward problem; Genetic algorithm; Genetic algorithms; Inverse problems; inverse scattering; Microwave theory and techniques; nonuniform rational B-spline (NURBS); Optical computing; Physical optics; physical optics approximation; Physics computing; radar cross-section; Radiolocalization and radionavigation; Reconstruction; Shape control; Spline; stationary phase method; Surface reconstruction; Surface topography; Telecommunications; Telecommunications and information theory; Three dimensional; B spline; Rational approximation; stationary phase method; Backscattering; Inverse scattering problem; Modeling; Spline approximation; Direct problem; physical optics approximation; Physical optics; Electrical conductor; radar cross-section; Multiple frequency; Stationary phase; Radar cross section; nonuniform rational B-spline (NURBS); Geometrical parameter; Inverse scattering method; Far field; inverse scattering; Three dimensional shape; Pattern recognition; Three dimensional model; Genetic algorithm; Signal processing; Feature extraction; Numerical simulation; Control point
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2006.880662

A microwave inverse scattering problem including a method for shape reconstruction of three-dimensional electrically large conducting patches with simple geometries using genetic algorithm is presented. Unknown shape reconstruction algorithm starts from the knowledge of the simulated radar cross-section (RCS) data through back-scattering far-field computation using physical optics approximation. The forward problem involves the computation of the multiple-frequency and multiple-direction RCS of three-dimensional large conducting patches modeled by nonuniform rational B-spline (NURBS) surfaces. The control points of NURBS are the geometrical parameters, which are optimized for the shape reconstruction procedure. The extended stationary phase method and critical cases, which occur in physical optics computations in the forward problem, are also discussed. Noise effect and the influence of increment in the number of control points of a NURBS over the inversion algorithm are investigated as well. Numerical results are presented to verify the operation of the proposed algorithm