Electromagnetic imaging of two-dimensional perfectly conducting cylinders with transverse electric scattered field

Electromagnetic imaging of two-dimensional perfectly conducting cylinders using measured transverse electric scattered field is studied in this paper. The contours of cylinders are denoted by local shape functions ρ_i=F_i(θ_i) in local polar coordinates which are then approximated by closed cubic B-splines instead of trigonometric series. By using the boundary condition of vanishing tangential electric field on surfaces of perfectly conducting cylinders, a set of electric field integral equations governing the scattering problem is derived. The scattering problem is solved by a point-matching method with pulse basis and Dirac delta testing functions. The inverse problem is reformulated as an optimization problem and solved by a real-coded genetic algorithm with closed cubic B-splines local shape function. Numerical examples show good agreement between the true profiles and the reconstructed results.