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Lens Effect with Photonic Crystals
Student “#3”
ECEN 5616 Final Project Presentation
12.07.2010
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Overview
Introduction
Negative Refractive Index
Photonic Crystal
Superlens
Methods
Results
2
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Introduction
3
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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 below
characteristic plasma frequency
Requires electric resonance and
strong magnetic resonance
No negative refractive index
material in nature
4
n<0
n>0
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Photonic Crystal
Periodic optical nanostructures
Analogous to semiconductor crystal
The feature sizes are comparable to the
wavelength
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r r R
r r R
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Waves in Periodic Media
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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 2
0
E r E r r E r
2
0
1
H r H r
r
i k R
k k
E r R E r e
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Lattice Structure
7
Brillouin
zones
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Photonic Band Structure
8
x
k
y
k
Negative effective index region
c
a
Self
-
collimation
Self
-
collimation
Bandgap
Effective medium
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Superlens
9
Perfect, real
image
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Method & Results
10
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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
11
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Results
12
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Results
13
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Results
14
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Current Research
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Thank you
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