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首页> 外文期刊>Applied Computational Electromagnetics Society journal >Arbitrary Shaped Objects Detection and Reconstruction through Overset Grid Generation Method with B2-spline Interpolation in Forward-Backward Time-Stepping Inverse Scattering
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Arbitrary Shaped Objects Detection and Reconstruction through Overset Grid Generation Method with B2-spline Interpolation in Forward-Backward Time-Stepping Inverse Scattering

机译：B2样条插值过冲网格生成方法在向前-向后时间步长逆向散射中检测和重建任意形状的物体

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摘要

Finite-Difference Time-Domain (FDTD) method is a simple and powerful tool used to solve electromagnetic (EM) problems. However, the drawbacks of FDTD method are difficult to model the curved boundaries and small features due to its restriction to inherent orthogonal grids. We have previously proposed that the B-2-spline or biquadratic spline interpolation technique for Overset Grid Generation and Finite-Difference Time-Domain (OGG-FDTD) method be utilised to overcome the limitations of FDTD method. This proposed method has the ability to accurately measure a scattered field around an unknown object. In this paper, the OGG-FDTD method with B-2-spline interpolation in Forward-Backward Time-Stepping (FBTS) inverse scattering technique was proposed for the detection and reconstruction of arbitrary shaped objects in Case A and malignant breast tumour detection in Case B. The results showed that the Mean Square Error (MSE) of reconstructed dielectric profiles by using the proposed method has achieved significantly lower values than the FDTD method in FBTS. In Case A, the accuracy difference between the two methods was 26.67% for relative permittivity and 27.63% for conductivity, respectively. In Case B, it was found that the implementation of the proposed method increased the accuracy of reconstructed the relative permittivity image by 50.54%, and conductivity by 74.42% as compared to the FDTD method in FBTS technique. Furthermore, the values of normalised error function for the proposed method were also lower than the FDTD method in FBTS. Hence, it is proven that this numerical method can provide clearer and better reconstructed images to improve the quality of retrieve the dielectric profiles of the investigation area.
机译：时域有限差分（FDTD）方法是一种简单而强大的工具，用于解决电磁（EM）问题。但是，由于FDTD方法的局限性是固有的正交网格，因此FDTD方法的缺点很难建模。我们以前曾提出过使用B-2-样条或双二次样条插值技术来克服网格生成和有限差分时域（OGG-FDTD）方法的缺点，从而克服了FDTD方法的局限性。提出的方法具有准确测量未知物体周围散射场的能力。本文提出了B-2-样条插值的OGG-FDTD方法，采用向前-向后时间步长（FBTS）逆散射技术，用于案例A中任意形状物体的检测和重建以及案例Case中乳腺肿瘤的检测。 B.结果表明，在FBTS中，使用所提出的方法重建的介电剖面的均方误差（MSE）的值明显低于FDTD方法。在情况A中，两种方法之间的相对电容率的准确度差异为26.67％，电导率的准确度差异为27.63％。在案例B中，发现与FBTS技术中的FDTD方法相比，该方法的实现将重建相对介电常数图像的精度提高了50.54％，将电导率提高了74.42％。此外，该方法的归一化误差函数值也低于FBTS中的FDTD方法。因此，证明了该数值方法可以提供更清晰，更好的重建图像，从而提高了检索调查区域介电剖面的质量。

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