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

机译:带有横向电场的二维完美导电圆柱体的电磁成像

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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 /spl rho//sub i/=F/sub i/(/spl theta//sub 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.
机译:本文研究了利用测得的横向电场散射场对二维导电圆柱的电磁成像。圆柱体的轮廓由局部极坐标中的局部形状函数/ spl rho // sub i / = F / sub i /(/ spl theta // sub i /)表示,然后用封闭的三次B样条曲线代替而不是三角系列。利用完全导电圆柱体表面上切向电场消失的边界条件,得出了控制散射问题的一组电场积分方程。散射问题通过具有脉冲基础和Dirac delta测试功能的点匹配方法解决。将反问题重新表述为一个优化问题,并通过具有封闭三次B样条局部形状函数的实编码遗传算法进行求解。数值算例表明真实轮廓与重建结果之间具有良好的一致性。

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