Numerical Electromagnetics for Medical Diagnostics

ABSTRACT

COURSE CONTENT

Part 1: INTRODUCTION TO EM DIAGNOSTICS PROBLEM

• The electromagnetic detection and diagnostics problem
• Formulation and representative equations of a diagnostic problem
• Techniques for the solution of diagnostic problems
• Green's function technique for the solution of the Helmoltz equation in free space
• The equivalence principle of the electromagnetic fields (volume formulation)

Part 2: PROPERTIES AND CHARACTERISTICS OF AN INVERSE PROBLEM

• Direct problem and inverse problem
• Characteristics of an inverse problem: ill-posedness and non-linearity

Part 3: NUMERICAL EM DIAGNOSTICS AND IMAGING TECHNIQUES

• The inverse source and inverse scattering problems
• Reconstruction of the equivalent source and of the characteristics of the dielectric object
• The method of moments
• The non-radiating currents
• Linear inversion approaches: high-frequency techniques; the “3-step” algorithm
• Extension to the multi-illumination, multi-view case
• Non-linear inversion approaches

Part 4: MEDICAL APPLICATIONS

• Introduction to tomographic reconstruction
• X-ray tomography (TAC - Computerized Tomography)
• Back-Projection algorithm
• Microwave Imaging

TEACHING ACTIVITIES

• Theoretical Lessons
• e-Xam Self Assessment (each teaching class or periodically)
• MATLAB Hands-On
• e-Xam Final Assessment

FURTHER READINGS

1. M. Bertero and P. Boccacci, “Introduction to Inverse Problems in Imaging”, IoP Press, 1998.
2. M. Pastorino, “Microwave Imaging”, John Wiley & Sons, 2010.
3. M. Pastorino and A. Randazzo, “Microwave Imaging – Methods and Applications”, Artech House, 2018.
4. G. Franceschetti, “Electromagnetics Theory, Techniques, and Engineering Paradigms”, Kluwer Academic/Plenum Publishers, 1997.
5. W. C. Chew, “Waves and Fields in Inhomogeneous Media”, Oxford University Press, 1996.