Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A....
-
Upload
caleb-hudson -
Category
Documents
-
view
216 -
download
4
Transcript of Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A....
![Page 1: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/1.jpg)
Chaotic Imaging
PhD Student: Emiliano PudduTutor: Prof. A. Andreoni
XX Ciclo di DottoratoA.A. 2004/05
Email: [email protected]
![Page 2: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/2.jpg)
Index
Three wave interaction
Chaotic imaging
Image enhancement & recovery
Imaging Configurations
![Page 3: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/3.jpg)
Maxwell’s equations for the three wave interaction
kzjajga=dzda exp*
231
2 3 2 1 2 32 g = ω ω ω η d
123 kkk=Δk
213 ω+ω=ω
...3)3(4220 EdEEP
2 *3 1
expda = jga a j kzdz
kzjajga=dzda exp21
3
k 3
k 2
k 1
z
E2
E1
E3
![Page 4: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/4.jpg)
42 I Type OBaBβ
3k
k 2
k 1
k 3
k 2
k 1
Sum and Difference frequency
Lower frequency fields are injected: Sum frequency interaction
Higher frequency field is injected: Difference frequency interaction
![Page 5: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/5.jpg)
Phases of the involved fields
a)
b)
c)
Virtual image
Virtual image
Real image
a) b) c)
![Page 6: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/6.jpg)
O' O
L
BBO
telescope dO
CCD355 nm
1064 nm
O''
k3
k2
k1
Sum Frequency
532 nm
case a)
dO'
IMAGING CONFIGURATION: I
Real Object O, Virtual Image, O’, transformed into real O’’
![Page 7: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/7.jpg)
O'O
LBBO
telescopedO
x
ldO'
CCD
355 nm
1064 nmO''
k3
k2
k1
Difference Frequency
532 nm
case b)
IMAGING CONFIGURATION : II
Real Object O, Virtual Image, O’, transformed into Real O’’
![Page 8: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/8.jpg)
O BBO
dO'
CCD
355 nm
1064 nmO'
k3
k2
k1
532 nm
dO
case c)
Difference Frequency - Real Object
IMAGING CONFIGURATION : III
Real Object O, Real Image O’
![Page 9: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/9.jpg)
O'O
L BBOdO
CCD
355 nm
1064 nmO''
k3
k2
k1
Difference Frequency
532 nmcase b)
2f 2f
IMAGING CONFIGURATION : IV
Real Object O, transformed into Virtual O’, Real Image O’’
dO’
![Page 10: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/10.jpg)
What if….
…one of the injected beam has thermal statistic?
We realise the situation of…
![Page 11: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/11.jpg)
Puddu et al., O. L. 30, 1294-1296, 2005
…chaotic imaging!
case b) at degeneracy
![Page 12: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/12.jpg)
L1
L2
...
NLC
E1(ω)
E3(2ω)
E2(ω)
U0(x,y)
2f1
2f1 d
d/ 2f2
D
Case b) at degeneracy
Experimental result
The three holes are not recognizable!
![Page 13: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/13.jpg)
L1
L2
...
NLC
E1(ω)
E3(2ω)
E2(ω)
U0(x,y)
2f1
2f1 d
d/ 2f2
D
Fourier optic: interpretation
![Page 14: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/14.jpg)
Correlation protocol
Bondani, Puddu, Andreoni, J.M.O., in press
![Page 15: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/15.jpg)
Geometria d’interazione
2 Ground Glass Plates
![Page 16: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/16.jpg)
Correlation protocol II
6000 samples 250 samples
![Page 17: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/17.jpg)
2
'
f d
ˆ ˆx y x y
Andreoni, Puddu, Bondani, Manuscript in preparation
2 2
, 3 3', ' , ', ' ', ' 'i jG i j a i j i j a i i j j
Phase – Matching conditions in the chaotic imaging
![Page 18: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/18.jpg)
i
j
Image Enhancement
Shift and Average:add only the maps that respect the condition
2
'
f d
Averages over a sample of 7 correlations
![Page 19: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/19.jpg)
Image Recovery
The same procedure is applied to an insufficient sample of images!
![Page 20: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/20.jpg)
Results
Reduction of the noise:
Reduction of the number of the samples: 250 Vs 6000
02.0 Vs 01.0 0.06 Vs 0.10
6000 samples250 samples{
![Page 21: Chaotic Imaging PhD Student: Emiliano Puddu Tutor: Prof. A. Andreoni XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it.](https://reader036.fdocuments.us/reader036/viewer/2022081602/55148623550346b0158b5a9d/html5/thumbnails/21.jpg)
Perspectives:
Can chaotic imaging generate ghost imaging?
Can chaotic imaging be applied to cryptography?
I.E.N. ISTITUTO ELETTRONICO NAZIONALE
GALILEO FERRARIS
Dott. S. Castelletto Dott. I. Degiovanni