A SAMPLING TYPE METHOD IN AN ELECTROMAGNETIC WAVEGUIDE

doi:10.3934/ipi.2021012

	A SAMPLING TYPE METHOD IN AN ELECTROMAGNETIC WAVEGUIDE
	Meng, Shixu
刊名	INVERSE PROBLEMS AND IMAGING
	2021-08-01
卷号	15 期号:4 页码:745-762
关键词	sampling method waveguide Maxwell's equations inverse scattering electromagnetic
ISSN号	1930-8337
DOI	10.3934/ipi.2021012
英文摘要	We propose a sampling type method to image scatterer in an electromagnetic waveguide. The waveguide terminates at one end and the measurements are on the other end and in the far field. The imaging function is based on integrating the measurements and a known function over the measurement surface directly. The design and analysis of such imaging function are based on a factorization of a data operator given by the measurements. We show by analysis that the imaging function peaks inside the scatterer, where the coercivity of the factorized operator and the design of the known function play a central role. Finally, numerical examples are provided to demonstrate the performance of the imaging method.
WOS研究方向	Mathematics ; Physics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000648571700006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58668]
专题	中国科学院数学与系统科学研究院
通讯作者	Meng, Shixu
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Meng, Shixu. A SAMPLING TYPE METHOD IN AN ELECTROMAGNETIC WAVEGUIDE[J]. INVERSE PROBLEMS AND IMAGING,2021,15(4):745-762.
APA	Meng, Shixu.(2021).A SAMPLING TYPE METHOD IN AN ELECTROMAGNETIC WAVEGUIDE.INVERSE PROBLEMS AND IMAGING,15(4),745-762.
MLA	Meng, Shixu."A SAMPLING TYPE METHOD IN AN ELECTROMAGNETIC WAVEGUIDE".INVERSE PROBLEMS AND IMAGING 15.4(2021):745-762.