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Hybridizable Discontinuous Galerkin Method Contrast Source Inversion of 2-D and 3-D Dielectric and Magnetic Targets

机译:2-D和3-D介电和磁目标的可杂交不连续Galerkin方法对比源反演

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摘要

We present a microwave imaging algorithm capable of simultaneously reconstructing electric and magnetic targets from both electric and magnetic field measurement data, with support for arbitrary imaging system boundaries and inhomogeneous background media. A high-order time-harmonic discontinuous Galerkin method (DGM) forward solver is adopted within a contrast source inversion (CSI) algorithm formulated for electric and magnetic targets. Due to its high-order capabilities, the DGM forward solver effectively decouples the contrast and field discretizations without introducing a dual mesh. The drawback of standard DGM forward solvers, namely, their high computational cost, is addressed by a hybridizable DGM (HDGM) formulation. Synthetic and experimental results for both DGM-CSI and HDGM-CSI are presented for a variety of 2-D and 3-D measurement configurations and both dielectric and magnetic targets. HDGM-CSI is shown to have imaging performance comparable to FEM-CSI for dielectric targets, and significant additional flexibility that will enable future electromagnetic imaging applications and system design.
机译:我们提出了一种微波成像算法,能够同时从电场和磁场测量数据中重建电磁目标,并支持任意成像系统边界和不均匀的背景介质。在针对电磁目标制定的对比源反演(CSI)算法中,采用了高阶时谐不连续伽勒金方法(DGM)正求解器。由于具有高阶功能,DGM前向求解器可以有效地消除对比度和场离散,而无需引入双网格。标准DGM正向求解器的缺点是计算成本高,这是通过可混合DGM(HDGM)公式解决的。给出了DGM-CSI和HDGM-CSI的综合和实验结果,适用于各种2-D和3-D测量配置以及介电和磁目标。对于介电目标,HDGM-CSI具有可与FEM-CSI媲美的成像性能,并且具有显着的额外灵活性,可支持未来的电磁成像应用和系统设计。

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