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Communications in Mathematical Research
Article . 2023 . Peer-reviewed
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Geometrical Characterizations of Non-Radiating Sources at Polyhedral and Conical Corners with Applications

Geometrical characterizations of non-radiating sources at polyhedral and conical corners with applications
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2023Publisher:Global Science PressJournal:Communications in Mathematical Research, volume 39, pages 523-538 (issn: 1674-5647, eissn: 2707-8523, Copyright policy )
Authors: Diao, Huaian; Geng, Yueran; Liu, Hongyu; Yu, Qinghua;

doi: 10.4208/cmr.2023-0014

Geometrical Characterizations of Non-Radiating Sources at Polyhedral and Conical Corners with Applications

Abstract

Summary: Considering the acoustic source scattering problems, when the source is non-radiating/invisible, we investigate the geometrical characterization for the underlying sources at polyhedral and conical corner. It is revealed that the non-radiating source with Hölder continuous regularity must vanish at the corner. Using this kind of geometrical characterization of non-radiating sources, we establish local and global unique determination for a source with the polyhedral or corona shape support by a single far field measurement. Uniqueness by a single far field measurement constitutes of a long standing problem in inverse scattering problems.

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Keywords

Inverse problems for PDEs, corner singularity, non-radiating sources, Scattering theory for PDEs, Inverse problems (including inverse scattering) in optics and electromagnetic theory, single far-field measurement, inverse scattering, vanishing

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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