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Fourier-based magnetic induction tomography for mapping resistivity.

Steffan Puwal, Bradley J Roth

Journal of Applied Physics

|February 9, 2011

Summary

Fourier methods reliably solve inverse problems in magnetic induction tomography for imaging conductors and biological tissues. This approach accurately determines resistivity even with noisy data and varying coil distances.

Area of Science:

Physics
Electrical Engineering
Biomedical Imaging

Background:

Magnetic induction tomography (MIT) maps electromagnetic properties of conductors.
MIT has potential applications in biological tissue imaging.
Solving the inverse problem is crucial for accurate MIT reconstructions.

Purpose of the Study:

To develop and validate a numerical approach for solving the inverse problem in MIT.
To determine the resistivity of a two-dimensional conducting plane using magnetic field data.
To assess the robustness of the method against noise and varying experimental conditions.

Main Methods:

Utilizing a Fourier expansion for resistivity and magnetic field stream functions.
Solving the inverse problem by relating applied and measured magnetic fields.

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Introducing and analyzing the effects of noise on the measured magnetic field data.

Evaluating the method's performance at different distances between field coils and the conductor.

Main Results:

The Fourier method successfully determines resistivity from magnetic field data.
The method demonstrates robustness against increasing levels of noise.
Accuracy is maintained even with increased distances between field coils and the conducting plane.
Proper filtering enhances the fidelity of the reconstructed resistivity.

Conclusions:

Fourier methods offer a reliable alternative for solving the inverse problem in magnetic induction tomography.
The proposed numerical approach is effective for imaging electromagnetic properties.
The technique shows promise for applications requiring robust resistivity mapping.