F7ADIAMI - 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.

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. Assessment will be based on active participation in the discussion exercises, reports of group work and presentation of the research protocol conducted during the workshop..

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.