+ lens effect with photonic crystals student “#3” ecen 5616 final project presentation...

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

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

+

Lens Effect with Photonic Crystals Student “#3”

ECEN 5616 Final Project Presentation12.07.2010

Page 2: + 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

Page 3: + Lens Effect with Photonic Crystals Student “#3” ECEN 5616 Final Project Presentation 12.07.2010

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+

Introduction

Page 4: + Lens Effect with Photonic Crystals Student “#3” ECEN 5616 Final Project Presentation 12.07.2010

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

Page 5: + Lens Effect with Photonic Crystals Student “#3” ECEN 5616 Final Project Presentation 12.07.2010

5+Photonic Crystal

Periodic optical nanostructures

Analogous to semiconductor crystal

The feature sizes are comparable to the wavelength

r r R

r r R

Page 6: + Lens Effect with Photonic Crystals Student “#3” ECEN 5616 Final Project Presentation 12.07.2010

6+Waves in Periodic Media

0

0

H r i r E r

E r i r H r

H r

r E r

Maxwell’s Equations:

Bloch Function due to translational periodicity

2 20E r E r r E r

20

1H r H r

r

i k Rk kE r R E r e

BBBBBBBBBBBBBB

Page 7: + Lens Effect with Photonic Crystals Student “#3” ECEN 5616 Final Project Presentation 12.07.2010

7+Lattice Structure

Brillouin zones

Page 8: + Lens Effect with Photonic Crystals Student “#3” ECEN 5616 Final Project Presentation 12.07.2010

8+Photonic Band Structure

xkyk

Negative effective index region

ca

Self -collimation

Self -collimation

Bandgap

Effective medium

Page 9: + Lens Effect with Photonic Crystals Student “#3” ECEN 5616 Final Project Presentation 12.07.2010

9+Superlens

Perfect, real image

Page 10: + Lens Effect with Photonic Crystals Student “#3” ECEN 5616 Final Project Presentation 12.07.2010

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+

Method & Results

Page 11: + Lens Effect with Photonic Crystals Student “#3” ECEN 5616 Final Project Presentation 12.07.2010

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

Page 12: + Lens Effect with Photonic Crystals Student “#3” ECEN 5616 Final Project Presentation 12.07.2010

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Results

Page 13: + Lens Effect with Photonic Crystals Student “#3” ECEN 5616 Final Project Presentation 12.07.2010

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Results

Page 14: + Lens Effect with Photonic Crystals Student “#3” ECEN 5616 Final Project Presentation 12.07.2010

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Results

Page 15: + Lens Effect with Photonic Crystals Student “#3” ECEN 5616 Final Project Presentation 12.07.2010

15+Current Research

Page 16: + Lens Effect with Photonic Crystals Student “#3” ECEN 5616 Final Project Presentation 12.07.2010

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Thank you