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A hybrid perturbational and transformational electromagnetics approach for modeling rough surface scattering problems

机译:混合微扰和变换电磁方法对粗糙表面散射问题进行建模

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Perturbation and transformation electromagnetics methods are hybridized for solving electromagnetic scattering from objects with weakly perturbed surfaces within the context of finite element method. A mesh is generated for smooth surface and a transformation medium layer is designed over the smooth surface by using the coordinate transformation technique. The major advantage of this approach is that if multiple solutions are needed for a set of perturbed surfaces, such as in stochastic or inverse problems, computational load decreases to a great extent because the mesh and global matrix are formed only once, and only the right hand side vector is altered with respect to each of the perturbed surfaces. The approach is validated through numerical simulations.
机译:在有限元方法的背景下,微扰和变换电磁方法被混合使用,以解决来自具有微扰表面的物体的电磁散射。生成用于平滑表面的网格,并使用坐标变换技术在平滑表面上设计变换介质层。这种方法的主要优点是,如果一组扰动曲面需要多个解决方案(例如在随机或逆问题中),则由于网格和全局矩阵仅形成一次且仅形成正确的网格,因此计算负荷将大大降低相对于每个被扰动的表面,手侧矢量被改变。通过数值模拟验证了该方法。

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