ece 299 holography and coherent imaging lecture 5. display holography david j. brady duke university...

www.disp.duke.edu/~dbrady/courses/holography

ECE 299 Holography and Coherent ImagingLecture 5. Display Holography

David J. BradyDuke University

Lecture 5. Display Holography


Outline

1. Homework2. Review from Friday3. Bragg mismatch4. Display hologram5. Analysis of display holograms



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?



Denisyuk 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

http://www.jstor.org/stable/1575749

http://www.jstor.org/action/showPublication?journalCode=leonardo


Lippman Photography


http://nobelprize.org/nobel_prizes/physics/articles/biedermann/index.html

Gabriel Lippmann

http://en.wikipedia.org/wiki/Lippmann_plate

1904

http://nobelprize.org/nobel_prizes/physics/articles/biedermann/index.html

http://en.wikipedia.org/wiki/Lippmann_plate


Hologram Reconstruction



Born Series



Properties of Hankel Function



Hologram Reconstruction



Bragg Matching and the Wave Normal Sphere



Bragg mismatch and geometry



Angular degeneracy of Bragg Match



Angular mismatch



Wavelength Mismatch



Angle mismatch at Pi/2



Angle mismatch at Pi



Wavelength mismatch at Pi/2



Wavelength mismatch near Pi



Angular and spectral Bragg sensitivity



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



Display Hologram Fabrication



Holographic Reconstruction



Questions

• How to make color holograms?• How does motion appear in holograms?• How do obscured items appear in holograms?


ece 299 holography and coherent imaging lecture 5. display holography david j. brady duke university...

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