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Holography Traditional imaging
Image, record intensity distribution in 2-d plane Holography From Gr, “holos”: Record the interference pattern (fringes) between coherent object beam and reference beam. Then we get phase and amplitude information.
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Why does 3D look 3-D?
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Holography Need good spatial and longitudinal coherence lengths
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Hologram recording Simple example
Object wave can be made up by summing plane waves. Imagine one of these coming at angle qob vs the z axis. Put film at z = 0. Illuminate also with reference beam along z. Spacing h of fringes on screen: when changes by 2p
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Hologram recording Three different angles of plane waves give three interference patterns, but same angle to reference beam
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Hologram reconstruction
I(y) depends on phase and amplitude of Eob . Expose a film Hologram reconstruction The film becomes a grating of spacing Send a reconstruction beam along z: What diffraction angles do we get out? For the first order, we get out exactly !
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I(y) for two object waves (and reference)
Imagine infinite number of gratings superposed from all object angles...The reconstruction diffraction creates all the object angles again.
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A zone plate is a crude hologram of a point source of light!
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Hologram reconstruction
When we shine the reference beam on the film, we get 1) undeflected part of the reconstruction beam, with no image information (diffraction order m = 0) 2) reconstructed object beam (diffraction order m = 1) 3) “conjugate” reconstruction beams that form a real “image” that is inside out! (diffraction order m = -1) What coherence lengths are needed for reconstruction beam?
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Inside-out image: reversed 3D perception
“pseudoscopic” images appear inside out, for example: a box on a floor would appear as a box shaped hole in the floor.
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Hologram as superposition
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Pieces of the same hologram
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Film requirements Resolution: 1000-2000 fringes/mm (almost down to l)
Need a special nonlinear transparency of film: Normal (linear) film: so Holography needs so
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Reflection holography
Object and reference beam come from opposite sides of holographic plate. Reconstructing beam from same side as viewer: reflection
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Reflection holography
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White-light holograms
Recorded with coherent light. Reconstructed with incoherent light 15-20mm thick (“volume” hologram). Use “Bragg-plane” interference to give constructive interference for only a narrow band of wavelengths (like photonic crystal)
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Rainbow thin reflecting holograms for white light reconstruction
Slit near object. 3-D appearance only along one axis. Rainbow in other direction.
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