Numerical Electromagnetics for Medical Diagnostics

ABSTRACT

The course provides basic and advanced knowledge on the solution of inverse problems with main emphasis on numerical techniques for electromagnetic diagnostics and imaging in medical applications. The classes consist of theoretical/application lessons aimed at the presentation of the state of the art of the subject and the in-depth study of innovative numerical methods for electromagnetic diagnostics as well as their use for dealing with different medical diagnostics problems through the use of ELEDIA software tools.

 

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.