A method to solve the forward problem in magnetic induction tomography based on the weakly coupled field...

Area of Science:

• Biomedical Engineering
• Electromagnetics
• Computational Imaging

Background:

• Magnetic induction tomography (MIT) is a noninvasive imaging technique.
• MIT is suitable for biological tissue imaging due to its noncontact coils.
• Image reconstruction in MIT is computationally intensive, hindering high-resolution medical applications.

Purpose of the Study:

• To investigate a weakly coupled approximation for solving the forward problem in MIT.
• To evaluate the trade-off between computational efficiency and accuracy using this approximation.
• To determine the validity and applicability of the approximation for medical imaging.

Main Methods:

• Developed an analytical solution for mutual impedance change using full-wave theory.
• Presented a numerical impedance method based on electrical circuit analogues and sparse matrix techniques.
• Validated the approximation's accuracy against a commercial finite-element solver (COMSOL).

Main Results:

• Demonstrated 10 MHz as an acceptable upper frequency limit for the approximation's validity.
• Achieved a 0.4% tolerance at 10 MHz for conductivities below 0.5 S/m.
• The approximation significantly reduces computation time and memory usage compared to finite-element methods.

Conclusions:

• The weakly coupled approximation is accurate and computationally efficient for MIT.
• This method is suitable for low-conductivity medical applications.
• The approach enhances the feasibility of high-resolution MIT imaging.