{"title":"轴对称随机问题的随机FDTD","authors":"Xutong Wang, Wenbing Wang, Congguang Mao, Mo Zhao, Zheng Liu, Yifu Zhou","doi":"10.1049/mia2.12329","DOIUrl":null,"url":null,"abstract":"<p>The random parameters remain hard to tackle for a long time in electromagnetic (EM) computations. Aiming at the time-dependent uncertainty in the axially symmetric structures, the formulations of the stochastic finite-difference time-domain (S-FDTD) method are derived, and the effectiveness is verified by a cylindrical ring structure. The simulation results indicate that the efficiency of S-FDTD method is much higher than that of the polynomial chaos (PC) method and the Monte Carlo (MC) method, that is, the S-FDTD method only takes about 3% of the computation time of the PC method and 0.03% of the computation time of the MC method with slightly lower accuracy. Thus the uncertainty in the EM calculation of axisymmetric cylindrical coordinates is possible to tackle, such as the uncertainties in the calculations of lightning electromagnetic pulse, high altitude electromagnetic pulse and so on.</p>","PeriodicalId":13374,"journal":{"name":"Iet Microwaves Antennas & Propagation","volume":"17 2","pages":"132-139"},"PeriodicalIF":1.1000,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1049/mia2.12329","citationCount":"1","resultStr":"{\"title\":\"Stochastic FDTD for stochastic problems with axial symmetry\",\"authors\":\"Xutong Wang, Wenbing Wang, Congguang Mao, Mo Zhao, Zheng Liu, Yifu Zhou\",\"doi\":\"10.1049/mia2.12329\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The random parameters remain hard to tackle for a long time in electromagnetic (EM) computations. Aiming at the time-dependent uncertainty in the axially symmetric structures, the formulations of the stochastic finite-difference time-domain (S-FDTD) method are derived, and the effectiveness is verified by a cylindrical ring structure. The simulation results indicate that the efficiency of S-FDTD method is much higher than that of the polynomial chaos (PC) method and the Monte Carlo (MC) method, that is, the S-FDTD method only takes about 3% of the computation time of the PC method and 0.03% of the computation time of the MC method with slightly lower accuracy. Thus the uncertainty in the EM calculation of axisymmetric cylindrical coordinates is possible to tackle, such as the uncertainties in the calculations of lightning electromagnetic pulse, high altitude electromagnetic pulse and so on.</p>\",\"PeriodicalId\":13374,\"journal\":{\"name\":\"Iet Microwaves Antennas & Propagation\",\"volume\":\"17 2\",\"pages\":\"132-139\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2022-12-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1049/mia2.12329\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iet Microwaves Antennas & Propagation\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1049/mia2.12329\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iet Microwaves Antennas & Propagation","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1049/mia2.12329","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
Stochastic FDTD for stochastic problems with axial symmetry
The random parameters remain hard to tackle for a long time in electromagnetic (EM) computations. Aiming at the time-dependent uncertainty in the axially symmetric structures, the formulations of the stochastic finite-difference time-domain (S-FDTD) method are derived, and the effectiveness is verified by a cylindrical ring structure. The simulation results indicate that the efficiency of S-FDTD method is much higher than that of the polynomial chaos (PC) method and the Monte Carlo (MC) method, that is, the S-FDTD method only takes about 3% of the computation time of the PC method and 0.03% of the computation time of the MC method with slightly lower accuracy. Thus the uncertainty in the EM calculation of axisymmetric cylindrical coordinates is possible to tackle, such as the uncertainties in the calculations of lightning electromagnetic pulse, high altitude electromagnetic pulse and so on.
期刊介绍：
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Microwave circuits including RF, microwave and millimetre-wave amplifiers, oscillators, switches, mixers and other components implemented in monolithic, hybrid, multi-chip module and other technologies. Papers on passive components may describe transmission-line and waveguide components, including filters, multiplexers, resonators, ferrite and garnet devices. For applications, papers can describe microwave sub-systems for use in communications, radar, aerospace, instrumentation, industrial and medical applications. Microwave linear and non-linear measurement techniques.
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Computational electromagnetics and synthesis of antenna structures including phased arrays and antenna design algorithms.
Radiowave propagation at all frequencies and environments.
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