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

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

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Maxwells equations for the three wave interaction z E2E2 E1E1 E3E3

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

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

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O'O' O L BBO telescope dOdO CCD 355 nm 1064 nm O'' k3k3 k2k2 k1k1 Sum Frequency 532 nm case a) dO'dO' IMAGING CONFIGURATION: I Real Object O, Virtual Image, O, transformed into real O

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O'O' O L BBO telescope dOdO x l dO'dO' CCD 355 nm 1064 nm O'' k3k3 k2k2 k1k1 Difference Frequency 532 nm case b) IMAGING CONFIGURATION : II Real Object O, Virtual Image, O, transformed into Real O

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O BBO dO'dO' CCD 355 nm 1064 nm O'O' k3k3 k2k2 k1k1 532 nm dOdO case c) Difference Frequency - Real Object IMAGING CONFIGURATION : III Real Object O, Real Image O

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O'O' O LBBO dOdO CCD 355 nm 1064 nm O'' k3k3 k2k2 k1k1 Difference Frequency 532 nm case b) 2f IMAGING CONFIGURATION : IV Real Object O, transformed into Virtual O, Real Image O dOdO

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

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

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

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Fourier optic: interpretation

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

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Geometria dinterazione 2 Ground Glass Plates

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Correlation protocol II 6000 samples 250 samples

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

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

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

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

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Perspectives: Can chaotic imaging generate ghost imaging? Can chaotic imaging be applied to cryptography? I.E.N. I STITUTO E LETTRONICO N AZIONALE G ALILEO F ERRARIS Dott. S. Castelletto Dott. I. Degiovanni

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