This title appears in the Scientific Report :
2009
Please use the identifier:
http://dx.doi.org/10.1137/080719650 in citations.
Uniqueness of current reconstructions for magnetic tomography in multi-layer devices
Uniqueness of current reconstructions for magnetic tomography in multi-layer devices
Magnetic tomography is an important emerging technique for the nondestructive investigation and monitoring of electrical devices. Measurements of the magnetic field of the currents in a device are used to reconstruct the current distribution. Here we investigate the uniqueness problem for current re...
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Personal Name(s): | Wannert, M. |
---|---|
Potthast, R. | |
Contributing Institute: |
Brennstoffzellen; IEF-3 |
Published in: | SIAM journal on applied mathematics, 70 (2009) S. 563 - 578 |
Imprint: |
Philadelphia, Pa.
Soc.
2009
|
Physical Description: |
563 - 578 |
DOI: |
10.1137/080719650 |
Document Type: |
Journal Article |
Research Program: |
Rationelle Energieumwandlung |
Series Title: |
SIAM Journal on Applied Mathematics
70 |
Subject (ZB): | |
Publikationsportal JuSER |
Magnetic tomography is an important emerging technique for the nondestructive investigation and monitoring of electrical devices. Measurements of the magnetic field of the currents in a device are used to reconstruct the current distribution. Here we investigate the uniqueness problem for current reconstructions from multilayer devices. The general magnetic tomography problem is well known to be highly nonunique and unstable. Here, as a new result for the single-layer and multilayer device case we will study the splitting procedure and equivalence of the full nullspace to the nullspaces of operators supported on lower-dimensional subsets of the device. We will base our results on the uniqueness of wave source splitting combined with tools from potential theory and explicit estimates for particular surface integrals involving the Biot-Savart integral operator. |