Physical Foundation for General Interior Tomography
Ge Wang
TL;DR
This paper connects gauge invariability in Maxwell's equations with interior tomography, providing a theoretical foundation for exact ROI reconstruction and suggesting future research directions.
Contribution
It unifies electromagnetic gauge invariance with interior tomography theory, establishing a general principle for exact ROI reconstruction.
Findings
Gauge invariability ensures consistent Maxwell equations across coordinate systems.
The paper justifies the general interior tomography principle.
Opportunities for future tomographic research are proposed.
Abstract
Gauge invariability guarantees the same form of the Maxwell equations in different coordinate systems, and is instrumental for electromagnetic cloaking to hide a region of interest (ROI) perfectly. On the other hand, interior tomography is to reconstruct an ROI exactly. In this article, the recent results in these two disconnected areas are brought together to justify the general interior tomography principle. Several opportunities are suggested for tomographic research.
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Taxonomy
TopicsMetamaterials and Metasurfaces Applications · Electromagnetic Scattering and Analysis · Geophysical and Geoelectrical Methods