Characterizing Ultrawideband Scattering From Penetrable Objects Using a Stabilized and Well-Conditioned TDIE With Laguerre Polynomials

IF 5.8 1区 计算机科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC
Rongchuan Bai;Ming-Da Zhu;Haoxuan Zhang;Zhengwei Du;Zhe Chen;Li Huang;Hao Xie;Jianxing Leng;Wen-Yan Yin
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引用次数: 0

Abstract

A novel approach is proposed to solve ultrawideband scattering problem of dielectric objects, which employs the time-domain integral equation (TDIE) method. The frequency band spans from ultralow frequency ( $10^{-25}$ Hz) to microwave frequency. The application of the Calderón preconditioner ensures that the impedance matrix is well-conditioned. Furthermore, the Filon-type method is integrated into the Calderón preconditioner to guarantee the accuracy of the oscillatory integral. In addition, by incorporating a block-matrix constraint condition, we obtain stabilized and well-conditioned dielectric formulations based on marching-on-in-degree (MOD) method. Expanding on these techniques, we propose a universal static error current subtraction (SECS) method, characterized by its simplicity of implementation, to attain an accurate solution for ultrawideband scenarios. Notably, the accurate results can be obtained from ultralow to high frequencies through single temporal simulation. Numerical examples demonstrate that the proposed approach is able to achieve stable and accurate ultra broadband solutions.
用拉盖尔多项式表征可穿透物体的超宽带散射
提出了一种利用时域积分方程(TDIE)方法求解介质物体超宽带散射问题的新方法。频率范围从超低频率($10^{-25}$ Hz)到微波频率。Calderón预调节器的应用保证了阻抗矩阵条件良好。此外,将filon型方法集成到Calderón预调节器中,保证了振荡积分的精度。此外,通过引入块矩阵约束条件,我们得到了基于逐度行进(MOD)方法的稳定且条件良好的介电公式。在这些技术的基础上,我们提出了一种通用静态误差电流减法(SECS)方法,其特点是实现简单,以获得超宽带场景的精确解决方案。值得注意的是,通过单时间模拟可以获得从超低到高频的准确结果。数值算例表明,该方法能够获得稳定、精确的超宽带解。
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来源期刊
CiteScore
10.40
自引率
28.10%
发文量
968
审稿时长
4.7 months
期刊介绍: IEEE Transactions on Antennas and Propagation includes theoretical and experimental advances in antennas, including design and development, and in the propagation of electromagnetic waves, including scattering, diffraction, and interaction with continuous media; and applications pertaining to antennas and propagation, such as remote sensing, applied optics, and millimeter and submillimeter wave techniques
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