Cloaking and Superlensing using complementary media.

Negative index material (NIM) is an artificial structure where the refractive index has a negative value over some frequency range. NIMs were first investigated theoretically by Veselago in 1964 and were innovated by Pendry in 2002.  The existence of such materials was confirmed by Shelby et al. in 2001.  NIMs has many interesting applications such as cloaking suggested by Lai et al. in 2009 and superlensing proposed by Veselago in 1964, Nicorovici et al. in 1994 and Pendry in 2000. An important class of NIMs related to these phenomena are complementary media. In this talk, I will present the ideas of cloaking and superlensing using complementary media and discuss their rigorous proofs.