M14: Direct and Inverse Problems for Maxwell's Equations

The Maxwell system of equations, or its approximations, play a crucial role in the modeling of the inverse problems in electromagnetism. At low frequency for the time-harmonic system, in the quasi-static regime, or in presence of special symmetries, Maxwell’s equations are routinely approximated by an elliptic equation, which simplifies the study of the problem. Outside of this context, the full Maxwell system of equations must be used. This leads to a number of challenges, including the analysis and simulation of the direct problem, a fundamental prerequisite for the study of the inverse problem.

This minisymposium focuses on direct and inverse problems for Maxwell’s equations, such as boundary value problems, scattering problems and coupled-physics problems with internal data. We wish to bring together researchers working in this field, ranging from the theoretical aspects to the numerical implementation and the applications.

Organizers:
Giovanni S. Alberti, University of Genoa, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
Yves Capdeboscq, University of Oxford, UK, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers (in alphabetical order):
Malcolm Brown, Cardiff University, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
A variational approach to an electromagnetic inverse problem

Fioralba Cakoni, Rutgers University, This email address is being protected from spambots. You need JavaScript enabled to view it.
Generalized linear sampling method in electromagnetic inverse scattering

Monique Dauge, IRMAR, Université de Rennes 1, France, This email address is being protected from spambots. You need JavaScript enabled to view it.
Eigenpairs of the curl operator on axisymmetric tori

Marco Marletta, Cardiff University, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problems for Maxwell systems with partial data

Leonidas Mindrinos, University of Vienna, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
The electromagnetic scattering problem by an infinitely long cylinder at oblique incidence

Andrea Moiola, University of Pavia, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.,
Acoustic and electromagnetic transmission problems: wavenumber-explicit bounds and resonance-free regions

Mikko Salo, The University of Jyvaskyla, Finland, This email address is being protected from spambots. You need JavaScript enabled to view it.
Monotonicity methods for the Helmholtz equation

Mourad Sini, Radon Institute, Austria Academy of Sciences, This email address is being protected from spambots. You need JavaScript enabled to view it.
Analysis of the fields generated by electromagnetic nanoparticles with applications to effective media and imaging

Tatiana Suslina, St. Petersburg State University, This email address is being protected from spambots. You need JavaScript enabled to view it.
Homogenization of Maxwell system with periodic coefficients