ABSTRACT
The course provides the basic knowledge on inverse problems with main emphasis on the techniques for imaging and localization for non-destructive electromagnetic diagnostics and related 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 diagnostic techniques as well as their use in different application contexts through the use of ELEDIA software tools. Seminar lessons held by internationally renowned experts are also provided to supplement and complete the teaching contents of the course.
COURSE FORMAT
The Course is taught in 🇬🇧️ ENGLISH and offered
- On-site
- On-line (synchronous and asynchronous)
with video recordings, hand-outs, etc. of the lectures available off-line (*).
COURSE CONTENT
Part 1: PRELIMINARIES
- 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: SENSING BY MEANS OF ELECTROMAGNETIC WAVES
- Reconstruction of the equivalent source
- The method of moments
- Reconstruction of the characteristics of the dielectric object
Part 4: ELECTROMAGNETIC IMAGING AND LOCALIZATION TECHNIQUES
- The inverse scattering problem
- The inverse source problem
- The non-radiating currents
- Linear inversion approaches: the “3 steps” algorithm
- Extension to the multi-illumination, multi-view case
- Non-linear inversion approaches
- Introduction to optimization techniques
Part 5: ELECTROMAGNETIC IMAGING AND LOCALIZATION TECHNIQUES - BIOMEDICAL APPLICATIONS
- Introduction to tomographic reconstruction
- X-ray tomography (TAC - Computerized Tomography)
- Back-Projection algorithm
- Introduction to diffraction tomography
Part 6: USE OF PROFESSIONAL SW TOOL FOR ELECTROMAGNETIC IMAGING AND LOCALIZATION
- Use of professional electromagnetic diagnostics software developed at the ELEDIA Research Center Network laboratories for applications of high interest
- Processing and critical analysis of the obtained results towards the preparation of an appropriate scientific documentation
TEACHING ACTIVITIES
- Theoretical Lessons
- e-Xam Self Assessment (each teaching class or periodically)
- MATLAB Hands-On
- e-Xam Final Assessment
FURTHER READINGS
- G. Franceschetti, Electromagnetics. Theory, Techniques, and Engineering Paradigms, Ed: Kluwer Academic/Plenum Publishers, 1997.
- W. C. Chew, Waves and Fields in Inhomogeneous Media, Ed: Oxford University Press, 1996.
- M. Bertero and P. Boccacci, Introduction to Inverse Problems in Imaging, Ed: IoP Press, 1998.
- D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, Ed: Springer-Verlag, 1998.
For further references please contact the Teacher(s).
(*) Each registered participant acknowledges that the material distributed in the frame of the course, available for the duration of one academic year, is protected by copyright and delivered for educational purposes and personal use only. The participant agrees and undertakes not to forward, publish, disclose, distribute, disseminate - in any form or manner - such a material without written consent of the author(s) of the material. Unless otherwise explicitly allowed by the speaker in written form, no recordings of the online lectures can be made.