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Chaotic Imaging

Chaotic Imaging. Tutor: Prof. A. Andreoni. PhD Student: Emiliano Puddu. XX Ciclo di Dottorato A.A. 2004/05. Email: Emiliano.Puddu@uninsubria.it. Index. Three wave interaction. Imaging Configurations. Chaotic imaging. Image enhancement & recovery.

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Chaotic Imaging

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  1. Chaotic Imaging Tutor: Prof. A. Andreoni PhD Student: Emiliano Puddu XX Ciclo di Dottorato A.A. 2004/05 Email: Emiliano.Puddu@uninsubria.it

  2. Index Three wave interaction Imaging Configurations Chaotic imaging Image enhancement & recovery

  3. Maxwell’s equations for the three wave interaction z E3 E2 E1

  4. Sum and Difference frequency Higher frequency field is injected: Difference frequency interaction Lower frequency fields are injected: Sum frequency interaction

  5. Virtual image Virtual image Real image Phases of the involved fields a) b) c) a) b) c)

  6. IMAGING CONFIGURATION: I Sum Frequency telescope dO 1064 nm BBO k2 O O' CCD k3 355 nm k1 L O'' dO' 532 nm case a) Real Object O, Virtual Image, O’, transformed into real O’’

  7. IMAGING CONFIGURATION : II Difference Frequency telescope CCD O'' dO 1064 nm L BBO k2 k3 355 nm O x k1 O' l dO' 532 nm case b) Real Object O, Virtual Image, O’, transformed into Real O’’

  8. IMAGING CONFIGURATION : III Difference Frequency - Real Object dO CCD O' 1064 nm BBO k2 O k3 355 nm k1 dO' 532 nm case c) Real Object O, Real Image O’

  9. IMAGING CONFIGURATION : IV Difference Frequency dO 1064 nm CCD O'' L BBO k2 k3 O' 355 nm O k1 2f 2f 532 nm dO’ case b) Real Object O, transformed into Virtual O’, Real Image O’’

  10. What if…. …one of the injected beam has thermal statistic? We realise the situation of…

  11. Puddu et al., O. L. 30, 1294-1296, 2005 …chaotic imaging! case b) at degeneracy

  12. Experimental result The three holes are not recognizable! Case b) at degeneracy

  13. Fourier optic: interpretation

  14. Correlation protocol Bondani, Puddu, Andreoni, J.M.O., in press

  15. Geometria d’interazione 2 Ground Glass Plates

  16. Correlation protocol II 250 samples 6000 samples

  17. Phase – Matching conditions in the chaotic imaging Andreoni, Puddu, Bondani, Manuscript in preparation

  18. Image Enhancement Shift and Average: add only the maps that respect the condition j i Averages over a sample of 7 correlations

  19. Image Recovery The same procedure is applied to an insufficient sample of images!

  20. Results Reduction of the number of the samples: 250 Vs 6000 { 6000 samples Reduction of the noise: 250 samples

  21. 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

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