Ημερομηνία: Παρασκευη 24 Μαΐου 2024
Ώρα: 15:00
Τόπος: Webex
Oμιλητής: Professor Francesco Ferraresso, (University of Sassari, Italy)
Τίτλος: Spectral analysis of dissipative Maxwell systems
Περίληψη: Dissipative Maxwell systems find frequent application in the modelling of electromagnetic wave propagation through conductive media. In the presence of non-trivial conductivity, the medium absorbs part of the EM energy of the wave. From a mathematical point of view, conductivity makes the underlying Maxwell operator non-selfadjoint. I will discuss a few recent results regarding the essential spectrum and the spectral approximation of dissipative Maxwell systems in unbounded domains of the three dimensional Euclidean space. Under certain assumptions on the behaviour of the coefficients at infinity, the essential spectrum decomposes in two parts, one of which is non-empty even in bounded domains. Nevertheless, the eigenvalues of finite multiplicity of the system can be approximated exactly by means of the domain truncation method. We will then see how these results generalise to situations of relevance in applications, such as Drude-Lorentz metamaterials and semi-transparent Faraday layers. Based on joint work with S. B\"ogli (Durham), M. Marletta (Cardiff), and C. Tretter (Bern).
Στοιχεία Σύνδεσης Webex:https://uoa.webex.com/uoa/j.php?MTID=m4ea7cccb5cca567deb9833ea1aa15438
Meeting ID: 2786 374 6199
Passcode: 2Cr5tmRxzu4