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Evaluation of the thin-skin approximation boundary element method for electromagnetic induction scattering problems

机译:薄层近似边界元方法对电磁感应散射问题的评估

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A conductive object subject to an applied varying magnetic field will emit a secondary magnetic field or scattered field. The scattered field is dependent on the geometry of the object and its material properties (conductivity, permeability, etc). If we can calculate the scattered field for a given geometry (the scattering problem), we can infer the material properties from the detected electromagnetic response. Our motivation is the production of induction based classifiers for object and material classification. Applications include sorting of high value scrap metal and identifying UXO from clutter in landmine clearance. To this end, we require methods of solving the scattering problem quickly and accurately. In this paper, we evaluate the thin-skin approximation boundary element method. The method offers a particularly compact formulation of the scattering problem which is quick to solve. We compare this method to the more established finite element method. We find that larger objects at higher frequencies and conductivities appear to give good agreement between the two methods. However, the agreement breaks down for smaller objects even when the frequency or conductivity is relatively high for typical induction based sensing. This is especially true when the object has a complex geometry. This imposes limitations on the practical usefulness of this approach.
机译:受到变化磁场作用的导电物体将发出次级磁场或散射场。散射场取决于物体的几何形状及其材料属性(电导率,磁导率等)。如果我们可以计算给定几何形状的散射场(散射问题),则可以从检测到的电磁响应中推断出材料特性。我们的动机是为物体和材料分类创建基于归纳的分类器。应用包括对高价值的废金属进行分类,并从清除地雷的混乱中识别未爆炸物。为此,我们需要快速而准确地解决散射问题的方法。在本文中,我们评估了薄皮近似边界元方法。该方法提供了散射问题的特别紧凑的公式化,可以快速解决。我们将该方法与更完善的有限元方法进行了比较。我们发现,较大的物体在较高的频率和电导率下似乎可以很好地吻合这两种方法。但是,即使对于典型的基于感应的感应,其频率或电导率相对较高,对于较小的对象,该协议也会被破坏。当对象具有复杂的几何形状时尤其如此。这对这种方法的实用性施加了限制。

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