3-D electromagnetic (EM) scattering and inverse scattering of magnetodielectric objects with arbitrary anisotropy embedded in layered uniaxial media are studied. The stabilized biconjugate gradient fast Fourier transform (BCGS-FFT) method is employed to solve the forward scattering problem formulated by the combined field volume integral equation (CFVIE). In the inversion, we use the variational Born iterative method (VBIM) enhanced by the structural consistency constraint (SCC) to reconstruct eighteen unknown dielectric parameters of the scatterers simultaneously. In order to further improve the accuracy of the reconstructed permittivity, permeability, and conductivity of the scatterers, we propose the structural continuity scanning (SCS) technique. Comparisons between the BCGS-FFT solution and simulated results from finite element method (FEM) are performed to verify the reliability and accuracy of the forward solver. Meanwhile, we reconstruct the multiple anisotropic parameters of several typical structures embedded in layered uniaxial media to show the feasibility and anti-noise ability of the inversion algorithm.

中文翻译：

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层状单轴介质中具有任意各向异性的磁介电物体的 3-D 电磁散射和逆散射

研究了嵌入层状单轴介质中具有任意各向异性的磁介电物体的 3-D 电磁 (EM) 散射和逆散射。采用稳定双共轭梯度快速傅里叶变换（BCGS-FFT）方法解决由组合场体积积分方程（CFVIE）制定的前向散射问题。在反演中，我们使用结构一致性约束（SCC）增强的变分Born迭代法（VBIM）同时重建散射体的18个未知介电参数。为了进一步提高散射体的介电常数、磁导率和电导率的重建精度，我们提出了结构连续性扫描（SCS）技术。BCGS-FFT 解决方案与有限元法 (FEM) 的模拟结果进行了比较，以验证正向求解器的可靠性和准确性。同时，我们重构了嵌入层状单轴介质中的几种典型结构的多个各向异性参数，以展示反演算法的可行性和抗噪能力。