TY - JOUR
T1 - Geometrical Characterizations of Non-Radiating Sources at Polyhedral and Conical Corners with Applications
AU - Diao , Huaian
AU - Geng , Yueran
AU - Liu , Hongyu
AU - Yu , Qinghua
JO - Communications in Mathematical Research 
VL - 4
SP - 523
EP - 538
PY - 2023
DA - 2023/11
SN - 39
DO - http://doi.org/10.4208/cmr.2023-0014
UR - https://global-sci.org/intro/article_detail/cmr/22099.html
KW - Non-radiating sources, corner singularity, vanishing, inverse scattering, single far-field measurement.
AB - <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>