Alice Vanel – CR CNRS who had just arrived in Epsilon team will give a seminar entitled “Approximations modales en nano plasmonique et applications à la super localisation” on Monday, December 16 at 10:30 a.m. in Pierre Cotton’s room.
Abstract : We present recent results on the spectral analysis of the singular integral operator associated with Maxwell’s equation. The operator is neither compact nor self-adjoint in the general case. However, in the electrostatic case (zero frequency), it is possible to obtain a modal decomposition for the singular integral operator. We use Kato’s perturbative spectral theory and recent results on the analysis of the Neumann-Poincaré operator to show that the decomposition remains valid outside the electrostatic case and how to treat the essential spectrum. We also show how these theoretical results can be applied to solve practical problems arising in nanophotonic imaging experiments.
