手性介质中阻抗逆散射问题的互易间隙泛函方法

E. Athanasiadou
{"title":"手性介质中阻抗逆散射问题的互易间隙泛函方法","authors":"E. Athanasiadou","doi":"10.22436/jnsa.016.02.01","DOIUrl":null,"url":null,"abstract":"A time-harmonic electromagnetic wave is scattered by a buried object. We assume that the scattering object has an impedance boundary surface and it is embedded in a piecewise homogeneous isotropic background chiral medium. Using a chiral reciprocity gap operator and appropriate density properties of chiral Herglotz wave functions we solve an inverse scattering problem for reconstruction of the shape of the scatterer from the knowledge of the tangential components of electric and magnetic fields, without requiring any a priori information of the physical properties. Furthermore, a characterization of the surface impedance of the scattering object is proved","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"140 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The reciprocity gap functional method for an impedance inverse scattering problem in chiral media\",\"authors\":\"E. Athanasiadou\",\"doi\":\"10.22436/jnsa.016.02.01\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A time-harmonic electromagnetic wave is scattered by a buried object. We assume that the scattering object has an impedance boundary surface and it is embedded in a piecewise homogeneous isotropic background chiral medium. Using a chiral reciprocity gap operator and appropriate density properties of chiral Herglotz wave functions we solve an inverse scattering problem for reconstruction of the shape of the scatterer from the knowledge of the tangential components of electric and magnetic fields, without requiring any a priori information of the physical properties. Furthermore, a characterization of the surface impedance of the scattering object is proved\",\"PeriodicalId\":48799,\"journal\":{\"name\":\"Journal of Nonlinear Sciences and Applications\",\"volume\":\"140 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-04-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Nonlinear Sciences and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22436/jnsa.016.02.01\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nonlinear Sciences and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22436/jnsa.016.02.01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

埋在地下的物体散射出时谐电磁波。我们假设散射物体有一个阻抗边界表面,并且它被嵌入到一个分段均匀的各向同性背景手性介质中。利用手性互易间隙算子和适当的手性赫格罗兹波函数的密度性质,在不需要任何先验物理性质信息的情况下,利用电场和磁场切向分量的知识,求解了一个逆散射问题,用于重建散射体的形状。此外,还证明了散射物体表面阻抗的表征
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
The reciprocity gap functional method for an impedance inverse scattering problem in chiral media
A time-harmonic electromagnetic wave is scattered by a buried object. We assume that the scattering object has an impedance boundary surface and it is embedded in a piecewise homogeneous isotropic background chiral medium. Using a chiral reciprocity gap operator and appropriate density properties of chiral Herglotz wave functions we solve an inverse scattering problem for reconstruction of the shape of the scatterer from the knowledge of the tangential components of electric and magnetic fields, without requiring any a priori information of the physical properties. Furthermore, a characterization of the surface impedance of the scattering object is proved
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Journal of Nonlinear Sciences and Applications
Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS
自引率
0.00%
发文量
11
期刊介绍: The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.
期刊最新文献
Duality for non-smooth semidefinite multiobjective programming problems with equilibrium constraints using convexificators Equivalence between best proximity point and fixed point for some class of multi-valued mappings Existence fixed point in convex extended s-metric spaces with applications Common fixed point theorems for two mappings in b-metric-like spaces On the oscillatory behavior of solutions of canonical and noncanonical even-order neutral differential equations with distributed deviating arguments
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1