Fourier-based magnetic induction tomography for mapping resistivity

Journal Article · Sat Jan 01 00:00:00 EST 2011 · Journal of Applied Physics

DOI:https://doi.org/10.1063/1.3524276· OSTI ID:21538036

Puwal, Steffan; Roth, Bradley J ^[1]

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1. Department of Physics, Oakland University, Rochester, Michigan 48309 (United States)

Magnetic induction tomography is used as an experimental tool for mapping the passive electromagnetic properties of conductors, with the potential for imaging biological tissues. Our numerical approach to solving the inverse problem is to obtain a Fourier expansion of the resistivity and the stream functions of the magnetic fields and eddy current density. Thus, we are able to solve the inverse problem of determining the resistivity from the applied and measured magnetic fields for a two-dimensional conducting plane. When we add noise to the measured magnetic field, we find the fidelity of the measured to the true resistivity is quite robust for increasing levels of noise and increasing distances of the applied and measured field coils from the conducting plane, when properly filtered. We conclude that Fourier methods provide a reliable alternative for solving the inverse problem.

• OSTI ID: 21538036
• Journal Information: Journal of Applied Physics, Vol. 109, Issue 1; Other Information: DOI: 10.1063/1.3524276; (c) 2011 American Institute of Physics; ISSN 0021-8979
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DENSITY
EDDY CURRENTS
ELECTRIC CONDUCTIVITY
EXPANSION
FOURIER TRANSFORMATION
INDUCTION
MAGNETIC FIELDS
NOISE
STREAMS
TOMOGRAPHY
CURRENTS
DIAGNOSTIC TECHNIQUES
ELECTRIC CURRENTS
ELECTRICAL PROPERTIES
INTEGRAL TRANSFORMATIONS
PHYSICAL PROPERTIES
RIVERS
SURFACE WATERS
TRANSFORMATIONS