{"title":"Characterizing Ultrawideband Scattering From Penetrable Objects Using a Stabilized and Well-Conditioned TDIE With Laguerre Polynomials","authors":"Rongchuan Bai;Ming-Da Zhu;Haoxuan Zhang;Zhengwei Du;Zhe Chen;Li Huang;Hao Xie;Jianxing Leng;Wen-Yan Yin","doi":"10.1109/TAP.2025.3547868","DOIUrl":null,"url":null,"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 (<inline-formula> <tex-math>$10^{-25}$ </tex-math></inline-formula> 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.","PeriodicalId":13102,"journal":{"name":"IEEE Transactions on Antennas and Propagation","volume":"73 6","pages":"4116-4121"},"PeriodicalIF":5.8000,"publicationDate":"2025-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Antennas and Propagation","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10919058/","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
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.
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