On the Unique Reconstruction of Induced Spherical Magnetizations release_in3dp2hcnrfhfojrlioe7i5noe

by Christian Gerhards

Released as a article .

2015  

Abstract

Recovering spherical magnetizations m from magnetic field data in the exterior is a highly non-unique problem. A spherical Hardy-Hodge decomposition supplies information on what contributions of the magnetization m are recoverable but it does not supply geophysically suitable constraints on m that would guarantee uniqueness for the entire magnetization. In this paper, we focus on the case of induced spherical magnetizations and show that uniqueness is guaranteed if one assumes that the magnetization is compactly supported on the sphere. The results are based on ideas presented in Baratchart et al. (2013) for the planar setting.
In text/plain format

Archived Files and Locations

application/pdf  526.6 kB
file_gbvpxmbiafbyvci425cy46qvny
arxiv.org (repository)
web.archive.org (webarchive)
Read Archived PDF
Preserved and Accessible
Type  article
Stage   submitted
Date   2015-08-05
Version   v2
Language   en ?
arXiv  1507.07570v2
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: 75eddaac-ca07-4ee1-bc87-e577d65c49a2
API URL: JSON