@Article{CMR-39-523,
author = {Diao , HuaianGeng , YueranLiu , Hongyu and Yu , Qinghua},
title = {Geometrical Characterizations of Non-Radiating Sources at Polyhedral and Conical Corners with Applications},
journal = {Communications in Mathematical Research },
year = {2023},
volume = {39},
number = {4},
pages = {523--538},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2023-0014},
url = {http://global-sci.org/intro/article_detail/cmr/22099.html}
}