ece 299 holography and coherent imaging lecture 5. display holography david j. brady duke university...
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ECE 299 Holography and Coherent ImagingLecture 5. Display Holography
David J. BradyDuke University
Lecture 5. Display Holography
www.disp.duke.edu/~dbrady/courses/holography
Outline
1. Homework2. Review from Friday3. Bragg mismatch4. Display hologram5. Analysis of display holograms
Lecture 5. Display Holography
www.disp.duke.edu/~dbrady/courses/holography
Homework1. Using a 1 inch circular holographic plate and a 532 nm laser, estimate the
minimum feature size one could resolve in an object at a range of• 1 mm• 10 cm• 100 cm
Discuss the significance of recording geometry on this problem. Does the resolution depend on whether one records an off-axis or on axis hologram?
2. A certain holographic recording material supports a maximum fringe frequency of 500 line pairs/mm. Using 600 nm light, design a system to use this material to record an off axis hologram such that the signal field can be unambiguously isolated from background terms. Estimate the maximum spatial bandwith allowed in the signal field and the angle between the signal field axis and the reference. Assuming that the resolution is not aperture limited, estimate the resolution achieved in the holographic image.
3. Explain why display holograms use a reflection geometry. Why can they be reconstructed using white light. What determines their apparent color?
Lecture 5. Display Holography
www.disp.duke.edu/~dbrady/courses/holography
Denisyuk Holography
Lecture 5. Display Holography
•My Way in Holography•Yu. N. Denisyuk•Leonardo, Vol. 25, No. 5, Archives of Holography: A Partial View of a Three-Dimensional World: Special Issue (1992), pp. 425-430
1962
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Lippman Photography
Lecture 5. Display Holography
http://nobelprize.org/nobel_prizes/physics/articles/biedermann/index.html
Gabriel Lippmann
http://en.wikipedia.org/wiki/Lippmann_plate
1904
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Properties of Hankel Function
Lecture 5. Display Holography
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Bragg Matching and the Wave Normal Sphere
Lecture 5. Display Holography
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Bragg mismatch and geometry
Lecture 5. Display Holography
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Angular degeneracy of Bragg Match
Lecture 5. Display Holography
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Wavelength mismatch at Pi/2
Lecture 5. Display Holography
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Wavelength mismatch near Pi
Lecture 5. Display Holography
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Angular and spectral Bragg sensitivity
Lecture 5. Display Holography
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Conclusions
• Volume holograms are most sensitive to angular shifts in Pi/2 geometry
• Volume holograms are most sensitive to wavelength shift in reflection geometry
• The reflection geometry is not particularly angularly sensitive
Lecture 5. Display Holography
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Display Hologram Fabrication
Lecture 5. Display Holography
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Holographic Reconstruction
Lecture 5. Display Holography