Convergence Acceleration of Infinite Series Involving the Product of Riccati-Bessel Function and Its Application for the Electromagnetic Field: Using the Continued Fraction Expansion Method
文献类型：期刊论文
| 作者 | Fanghua, Zheng1,2,3; Qingyun, Di1,2,3; Zhe, Yun1,2,3; Ya, Gao1,2,3 |
| 刊名 | APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY JOURNAL
 |
| 出版日期 | 2021-12-01 |
| 卷号 | 36期号:12页码:1518-1525 |
| 关键词 | infinite series Riccati-Bessel function Mie scattering electromagnetic prospecting |
| ISSN号 | 1054-4887 |
| DOI | 10.47037/2020.ACES.J.361202 |
| 英文摘要 | A summation technique has been developed based on the continuous fractional expansion to accelerate the convergence of infinite series involving the product of Riccati-Bessel functions, which are common to electromagnetic applications. The series is transformed into a new and faster convergent sequence with a continued fraction form, and then the continued fraction approximation is used to accelerate the calculation. The well-known addition theorem formula for spherical wave function is used to verify the correctness of the algorithm. Then, some fundamental aspects of the practical application of continuous fractional expansion for Mie scattering theory and electromagnetic exploration are considered. The results of different models show that this new technique can be applied reliably, especially in the electromagnetic field excited by the vertical electric dipole (VED) source in the "earth-ionospheric" cavity. The comparison among the new technology, the Watson transform, and the spherical harmonic series summation algorithm shows that this new technology only needs less than 120 series items which is already enough to obtain a small relative error, which greatly improves the convergence speed, and provides a new way to solve the problem. |
| WOS关键词 | EARTH-IONOSPHERE CAVITY ; SCATTERING ; STRENGTHS |
| 资助项目 | Scientific Instrument Developing Project of the Chinese Academy[165587] ; Scientific Instrument Developing Project of the Chinese Academy[ZDZBGCH2018006] ; National Natural Science Foundation of China[41874088] |
| WOS研究方向 | Engineering ; Telecommunications |
| 语种 | 英语 |
| WOS记录号 | WOS:000769931100003 |
| 出版者 | APPLIED COMPUTATIONAL ELECTROMAGNETICS SOC |
| 资助机构 | Scientific Instrument Developing Project of the Chinese Academy ; Scientific Instrument Developing Project of the Chinese Academy ; Scientific Instrument Developing Project of the Chinese Academy ; Scientific Instrument Developing Project of the Chinese Academy ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Scientific Instrument Developing Project of the Chinese Academy ; Scientific Instrument Developing Project of the Chinese Academy ; Scientific Instrument Developing Project of the Chinese Academy ; Scientific Instrument Developing Project of the Chinese Academy ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Scientific Instrument Developing Project of the Chinese Academy ; Scientific Instrument Developing Project of the Chinese Academy ; Scientific Instrument Developing Project of the Chinese Academy ; Scientific Instrument Developing Project of the Chinese Academy ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Scientific Instrument Developing Project of the Chinese Academy ; Scientific Instrument Developing Project of the Chinese Academy ; Scientific Instrument Developing Project of the Chinese Academy ; Scientific Instrument Developing Project of the Chinese Academy ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/105005]  |
| 专题 | 地质与地球物理研究所_深部资源勘探装备研发 |
| 通讯作者 | Fanghua, Zheng |
| 作者单位 | 1.Chinese Acad Sci, Inst Geol & Geophys, CAS Engn Lab Deep Resources Equipment & Technol, Beijing 100029, Peoples R China 2.Chinese Acad Sci, Innovat Acad Earth Sci, Beijing 100029, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fanghua, Zheng,Qingyun, Di,Zhe, Yun,et al. Convergence Acceleration of Infinite Series Involving the Product of Riccati-Bessel Function and Its Application for the Electromagnetic Field: Using the Continued Fraction Expansion Method[J]. APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY JOURNAL,2021,36(12):1518-1525. |
| APA | Fanghua, Zheng,Qingyun, Di,Zhe, Yun,&Ya, Gao.(2021).Convergence Acceleration of Infinite Series Involving the Product of Riccati-Bessel Function and Its Application for the Electromagnetic Field: Using the Continued Fraction Expansion Method.APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY JOURNAL,36(12),1518-1525. |
| MLA | Fanghua, Zheng,et al."Convergence Acceleration of Infinite Series Involving the Product of Riccati-Bessel Function and Its Application for the Electromagnetic Field: Using the Continued Fraction Expansion Method".APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY JOURNAL 36.12(2021):1518-1525. |
入库方式： OAI收割
来源：地质与地球物理研究所
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