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Lens Effect with Photonic Crystals

Lens Effect with Photonic Crystals. Student “#3” ECEN 5616 Final Project Presentation 12.07.2010. Overview. Introduction Negative Refractive Index Photonic Crystal Superlens Methods Results. Introduction. Negative Refractive Index. V. G. Veslago (1968)

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Lens Effect with Photonic Crystals

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  1. Lens Effect with Photonic Crystals Student “#3” ECEN 5616 Final Project Presentation 12.07.2010

  2. Overview • Introduction • Negative Refractive Index • Photonic Crystal • Superlens • Methods • Results

  3. Introduction

  4. Negative Refractive Index • V. G. Veslago (1968) • Negative permittivity and negative permeability • Real index of refraction • Electric resonance in material • Strong magnetic resonance in material • Metals exhibit negative permittivity belowcharacteristic plasma frequency • Requires electric resonance andstrong magnetic resonance • No negative refractive index material in nature n>0 n<0

  5. Photonic Crystal • Periodic optical nanostructures • Analogous to semiconductor crystal • The feature sizes are comparable to the wavelength

  6. Waves in Periodic Media • Maxwell’s Equations: • Bloch Function  due to translational periodicity

  7. Lattice Structure • Brillouin zones

  8. Photonic Band Structure Negative effective index region Self -collimation Bandgap Self -collimation Effective medium

  9. Superlens • Perfect, real image

  10. Method & Results

  11. Finite Difference Time Domain (FDTD): MEEP • Numerical method in time domain • Calculates E field and H field in every point of the computational domain as they evolve in time • Can specify materials • Wide range of frequencies can be explored at once

  12. Results

  13. Results

  14. Results

  15. Current Research

  16. Thank you

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