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Cubic-Spline Expansion with GA for Half-Space Inverse Problems

机译:GA的三次样条展开与半空间反问题

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In this paper we address an inverse scattering problem whose aim is to determine the geometrical as well as the physical properties of a perfectly conducting cylindrical body buried in a half-space. We use cubic-spline method instead of trigonometric series to describe our shape and reformulated into an optimization problem and solved by the genetic algorithm. The genetic algorithm is employed to find out the global extreme solution of the object function. As a result, the shape of the scatterer, which is described by using cubic-spline, can be reconstructed. In such a case, fourier series expansion will fail. Even when the initial guess is far away from the exact one, the cubic-spline description and genetic algorithm can avoid the local extreme and converge to a global extreme solution. Numerical results are given to show that the shape description using cubic-spline method is much better than the Fourier series.
机译:在本文中,我们解决了逆散射问题,其目的是确定掩埋在半空间中的完美导电圆柱体的几何以及物理特性。我们使用三次样条方法而不是三角级数来描述形状,并重新构造为一个优化问题,并通过遗传算法求解。遗传算法被用来找出目标函数的全局极限解。结果,可以重建通过使用三次样条描述的散射体的形状。在这种情况下,傅立叶级数展开将失败。即使最初的猜测与精确的猜测相距甚远,三次样条描述和遗传算法也可以避免局部极端,并收敛到全局极端解。数值结果表明,三次样条法的形状描述比傅里叶级数更好。

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