F7DIAMI - Advances in Microwave Imaging

The exploitation of electromagnetic field data as a sensing tool paves the way to a number of interesting engineering applications including antenna testing and characterization, biomedical diagnostics, humanitarian demining, archeological prospection, through-the-wall imaging, non‐destructive testing of transport infrastructures and buildings, and many others. This course, after reviewing fundamental equations and main difficulties of inverse problems in high-frequency electromagnetics, will focus on classical and recently introduced solution procedures and algorithms, discussing capabilities, limitations, and perspectives of both approximate and 'exact' reconstruction methods. Applicative examples, including exercises and lessons regarding specific applications, will corroborate the developed concepts.

In the case of foreign lecturers, there will be a weeklong block of intensive contact education for the number of students at least five. If the number of students is less than five, the course will be self-study with consultations using VoIP (e.g. Skype) and a contact 1-or 2-day seminar. The contact seminar will take place at the FBMI or at the home institution of a foreign lecturer. The subjects are concluded by an oral examination. The student must elaborate a paper on a given topic together with the exam in case of the controlled self-study.

Two laboratory exercises are required for admission to the exam (attested by a protocol signed by the student, the tutor and the supervisor of the course).

The protocols will be archived in the Department for Doctoral Studies.

Brief Syllabus of Lectures:

1.Introduction to Inverse Source and Inverse Scattering Problems: Formulation and Relevance

2.Mathematical Issues of Inverse Scattering Problems

3.Radiated Field Properties and Basic Theoretical Limitations in Inverse Source and Inverse Scattering Problems

4.Basic Tools: Classical and Novel Regularization Techniques (Tichonov, TSVD, Compressive Sensing)

5.Qualitative Imaging Methods: Introduction

6.The Linear Sampling Method: Theory and Examples

7.Full‐wave Imaging: Difficulties Arising from Non‐Linearity and Strategies for Dealing with Non‐Linearity

8.Deterministic Strategies: Theory and Examples

9.Stochastic Strategies: Theory and Examples

10.Bio Applications

Brief Syllabus of Exercises:

1.Solving Microwave Imaging Problems by means of Global Optimization

2.Test of an antnna element for microwave imaging systems – measurement of reflection coefficient.

The exploitation of electromagnetic field data as a sensing tool paves the way to a number of interesting engineering applications including antenna testing and characterization, biomedical diagnostics, humanitarian demining, archeological prospection, through-the-wall imaging, non‐destructive testing of transport infrastructures and buildings, and many others. This course, after reviewing fundamental equations and main difficulties of inverse problems in high-frequency electromagnetics, will focus on classical and recently introduced solution procedures and algorithms, discussing capabilities, limitations, and perspectives of both approximate and 'exact' reconstruction methods. Applicative examples, including exercises and lessons regarding specific applications, will corroborate the developed concepts.

Required:

[1] M. Pastorino, Microwave Imaging, 1 edition. Hoboken, N.J: Wiley, 2010.

Recommended:

[1] R. C. Conceição, J. J. Mohr, and M. O’Halloran, Eds., An Introduction to Microwave Imaging for Breast Cancer Detection, 1st ed. 2016 edition. Springer, 2016.

Modul F