+ Lens Effect with Photonic Crystals Student “#3” ECEN 5616 Final Project Presentation 12. 07. 2010
+ 2 Overview n Introduction n Negative Refractive Index n Photonic Crystal n Superlens n Methods n Results
+ Introduction 3
+ 4 Negative Refractive Index n V. G. Veslago (1968) n Negative permittivity and negative permeability n n Real index of refraction Electric resonance in material Strong magnetic resonance in material Metals exhibit negative permittivity below characteristic plasma frequency n Requires electric resonance and strong magnetic resonance n No negative refractive index material in nature n>0 n<0
+ 5 Photonic Crystal n Periodic optical nanostructures n Analogous to semiconductor crystal n The feature sizes are comparable to the wavelength
+ 6 Waves in Periodic Media n Maxwell’s Equations: n Bloch Function due to translational periodicity
+ 7 Lattice Structure n Brillouin zones
+ 8 Photonic Band Structure Negative effective index region Self -collimation Bandgap Self -collimation Effective medium
+ 9 Superlens n Perfect, real image
+ Method & Results 10
+ 11 Finite Difference Time Domain (FDTD): MEEP n Numerical method in time domain n Calculates E field and H field in every point of the computational domain as they evolve in time n n Can specify materials Wide range of frequencies can be explored at once