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Laboratoire des Micro et Nano Systèmes 1 PhC guided resonances discussion Pierre Pottier...
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Transcript of Laboratoire des Micro et Nano Systèmes 1 PhC guided resonances discussion Pierre Pottier...
![Page 1: Laboratoire des Micro et Nano Systèmes 1 PhC guided resonances discussion Pierre Pottier Laboratoire des Micro et Nano Systèmes 19/06/2008.](https://reader035.fdocuments.us/reader035/viewer/2022081515/551d9db8497959293b8dc74f/html5/thumbnails/1.jpg)
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PhC guided resonances discussion
Pierre Pottier
Laboratoire des Micro et Nano Systèmes 19/06/2008
![Page 2: Laboratoire des Micro et Nano Systèmes 1 PhC guided resonances discussion Pierre Pottier Laboratoire des Micro et Nano Systèmes 19/06/2008.](https://reader035.fdocuments.us/reader035/viewer/2022081515/551d9db8497959293b8dc74f/html5/thumbnails/2.jpg)
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Plan
Modelisation double layer slabGuided resonancesTuning & resonancesEnhancementQD localisationFluorescence enhancement ?
(summarise, analysis, article discussion)
![Page 3: Laboratoire des Micro et Nano Systèmes 1 PhC guided resonances discussion Pierre Pottier Laboratoire des Micro et Nano Systèmes 19/06/2008.](https://reader035.fdocuments.us/reader035/viewer/2022081515/551d9db8497959293b8dc74f/html5/thumbnails/3.jpg)
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Modelisation of PhC slabs
T double layer PhC
T single layer PhCT single layer slab
T double layer slab
Analytical formula (short)
Analytical formula (long)
Simulation (matrix transfer)
Model: T 1 slab + equiv. FP cavity
Analytical formula
Simulation (FDTD) + band structures
Model simplified: T 1 slab (background) + peaks position for r/a<<1 (from w.g. disp. curve)
backgroundcomparison
engineering of background Te.g.: AR coating
Analytical formula
Simulation (FDTD)
Model - near field regime ? - far field regime model equiv. FP cavity
OK
OK
OK
~
?
?
~
![Page 4: Laboratoire des Micro et Nano Systèmes 1 PhC guided resonances discussion Pierre Pottier Laboratoire des Micro et Nano Systèmes 19/06/2008.](https://reader035.fdocuments.us/reader035/viewer/2022081515/551d9db8497959293b8dc74f/html5/thumbnails/4.jpg)
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Double layer slab
t
d
t
n2
n2
slab transparent when t = kλ/2n2 kNslab reflective when t = (2k+1)λ/4n2
double slab:(weak) FP-like resonances when d ≈ λ/2n1
& around t = (2k+1)λ/4n2
n1
n1
n1
300 400 500 600 700 800 900 1000
0
0.2
0.4
0.6
0.8
1
wavelength (nm)
tran
smis
sio
n
thickness=0.4a
gap=0.5agap=0.6agap=0.7agap=0.8agap=0.9agap=1.0a
2n2t/2 2n2t/1
4n2t/3
![Page 5: Laboratoire des Micro et Nano Systèmes 1 PhC guided resonances discussion Pierre Pottier Laboratoire des Micro et Nano Systèmes 19/06/2008.](https://reader035.fdocuments.us/reader035/viewer/2022081515/551d9db8497959293b8dc74f/html5/thumbnails/5.jpg)
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Double layer slab
t
d
t
n2
n2
n1
n1
n1
deq.
ded. = f(λ)R = f(λ)
if d small (case of near field regime), no more FP modes
![Page 6: Laboratoire des Micro et Nano Systèmes 1 PhC guided resonances discussion Pierre Pottier Laboratoire des Micro et Nano Systèmes 19/06/2008.](https://reader035.fdocuments.us/reader035/viewer/2022081515/551d9db8497959293b8dc74f/html5/thumbnails/6.jpg)
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background fitted+peak shape analytical model (peak position & width simulation)
FDTD simulation
Article [1]
Single PhC slab: guided resonances
Analytical model of peak position and Q possible ?
![Page 7: Laboratoire des Micro et Nano Systèmes 1 PhC guided resonances discussion Pierre Pottier Laboratoire des Micro et Nano Systèmes 19/06/2008.](https://reader035.fdocuments.us/reader035/viewer/2022081515/551d9db8497959293b8dc74f/html5/thumbnails/7.jpg)
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Double PhC slab: resonances & tunabilityArticle [2]
Far field regime
1 PhC slab with high and wide Rr/a high
2 PhC slabs FP cavity
Near field regime
evanescent coupling between slabsh>0.5acoupling due to propagating waves
T independent of lateral displacement
PhC slab with high R big holeshigh distance between PhC slabsMEMS vertical actuation (only)
low Q guided resonances( more field between slabs) less enhancement (?)
short distance between PhC slabsMEMS vertical and/or horizontal actuation
![Page 8: Laboratoire des Micro et Nano Systèmes 1 PhC guided resonances discussion Pierre Pottier Laboratoire des Micro et Nano Systèmes 19/06/2008.](https://reader035.fdocuments.us/reader035/viewer/2022081515/551d9db8497959293b8dc74f/html5/thumbnails/8.jpg)
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Near field regime
Article [3]
Double PhC slab: resonances & tunability
![Page 9: Laboratoire des Micro et Nano Systèmes 1 PhC guided resonances discussion Pierre Pottier Laboratoire des Micro et Nano Systèmes 19/06/2008.](https://reader035.fdocuments.us/reader035/viewer/2022081515/551d9db8497959293b8dc74f/html5/thumbnails/9.jpg)
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Enhancement
Enhancement via Purcell factor only (?)
need high Q, small Vm
need QD coupled at max. of field
(http://qwiki.stanford.edu/wiki/Purcell_Factor)
![Page 10: Laboratoire des Micro et Nano Systèmes 1 PhC guided resonances discussion Pierre Pottier Laboratoire des Micro et Nano Systèmes 19/06/2008.](https://reader035.fdocuments.us/reader035/viewer/2022081515/551d9db8497959293b8dc74f/html5/thumbnails/10.jpg)
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QD localisation
SiNSiO2
Si
Si
SiNSiO2
![Page 11: Laboratoire des Micro et Nano Systèmes 1 PhC guided resonances discussion Pierre Pottier Laboratoire des Micro et Nano Systèmes 19/06/2008.](https://reader035.fdocuments.us/reader035/viewer/2022081515/551d9db8497959293b8dc74f/html5/thumbnails/11.jpg)
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Fluorescence enhancement ?
?
?
?