Cloaking and superlensing using negative index materials.
Tuesday, March 14, 2017 - 11:30am - 12:20pm
Negative index materials (NIMs) are artificial structures whose refractive index has negative value over some frequency range. These materials have attracted a lot of attention in the scientific community not only because of their many potential interesting applications but also because of challenges in understanding their appealing properties. Mathematically, the study of NIMs faces two difficulties. First, the equations modelling NIMs have sign changing coefficients; hence the ellipticity and the compactness are lost in general. Secondly, the localized resonance, i.e., the fields blow up in some regions and remain bounded in some others as the loss goes to 0, might appear. In this talk, I will present various schemes to achieve cloaking and superlensing using NIMs and their mathematics proofs.