Optimal representation of the electromagnetic field is an important and well widely investigated topic. In this lecture, such a problem is discussed under the broader perspective of complexity. This approach is not only conceptually interesting, since it unifies the many different methods used in electromagnetic field representation, but has some practical relevant applications. Examples in antenna measurements, electromagnetic inverse source reconstruction and MIMO channel identification will clarify the potential of the approach. The lecture is based on the following papers:
B. Fuchs, L. Le Coq and M. D. Migliore, "On the Interpolation of Electromagnetic Near Field Without Prior Knowledge of the Radiating Source," in IEEE Transactions on Antennas and Propagation, vol. 65, no. 7, pp. 3568-3574, July 2017.
M. D. Migliore, "Minimum Trace Norm Regularization (MTNR) in Electromagnetic Inverse Problems," in IEEE Transactions on Antennas and Propagation, vol. 64, no. 2, pp. 630-639, Feb. 2016.
M. D. Migliore, "On the Sampling of the Electromagnetic Field Radiated by Sparse Sources," in IEEE Transactions on Antennas and Propagation, vol. 63, no. 2, pp. 553-564, Feb. 2015.
M. D. Migliore, "On Electromagnetics and Information Theory," in IEEE Transactions on Antennas and Propagation, vol. 56, no. 10, pp. 3188-3200, Oct. 2008.
Prof. Migliore is a member of the ELEDIA@UniCAS research group, of the Italian Electromagnetic Society (SIEM) and of the National Inter-University Consortium for Telecommunication (CNIT).