NDLI: Minimum source regions of far fields as probable bounds of support

Content Provider	IEEE Xplore Digital Library
Author	Marengo, E.A.
Copyright Year	2011
Description	Author affiliation: Department of Electrical and Computer Engineering, Northeastern University, Boston, Massachusetts 02115, USA (Marengo, E.A.)
Abstract	It is well known that, for a given far field radiation pattern, there is a minimum source region Vmin such that in order for the field to be produced by a source of support V, then Vmin ⊆ V. There are classical and modern techniques for the estimation of bounding regions Bmin such that Vmin ⊆ Bmin. This paper investigates a fundamental open question in the electromagnetic theory of minimum source regions which has much practical importance for inverse source and scattering problems. In particular, clearly one can obtain estimates of the minimum source region; but how much information do they provide about the true support of a given unknown source whose far fields are measured? It is shown that, for a rather general class of sources of support V, the respective minimum source region and tight estimates of this region obtained from far field data are very likely to coincide with or at least to be close to the original support V (within bounds estimated in the paper). Thus, in inverse source and scattering problems, estimates of these minimum source regions, obtained from far field data, are probabilistically tight estimates of the sought-after support.
Starting Page	2146
Ending Page	2149
File Size	103590
Page Count	4
File Format	PDF
ISBN	9781424495627
ISSN	19471491
e-ISBN	9781424495634
DOI	10.1109/APS.2011.5996936
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-07-03
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Barium Strontium Antenna radiation patterns Estimation Electromagnetic scattering Inverse problems
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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