1. ECE 299 Holography and Coherent Imaging Lecture 5. Display Holography David J. Brady Duke University Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

2. Outline 1.Homework 2.Review from Friday 3.Bragg mismatch 4.Display hologram 5.Analysis of display holograms Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

3. Homework 1.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? 1.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. 2.Explain why display holograms use a reflection geometry. Why can they be reconstructed using white light. What determines their apparent color? Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

4. Denisyuk Holography Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/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. 425-430Leonardo 1962

5. Lippman Photography Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography http://nobelprize.org/nobel_prizes/physics/articles/biedermann/index.html Gabriel Lippmann http://en.wikipedia.org/wiki/Lippmann_plate 1904

6. Hologram Reconstruction Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

7. Born Series Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

8. Properties of Hankel Function Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

9. Hologram Reconstruction Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

10. Hologram Reconstruction Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

11. Bragg Matching and the Wave Normal Sphere Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

12. Bragg mismatch and geometry Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

13. Angular degeneracy of Bragg Match Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

14. Angular mismatch Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

15. Wavelength Mismatch Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

16. Angle mismatch at Pi/2 Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

17. Angle mismatch at Pi Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

18. Wavelength mismatch at Pi/2 Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

19. Wavelength mismatch near Pi Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

20. Angular and spectral Bragg sensitivity Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

21. 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 Holographywww.disp.duke.edu/~dbrady/courses/holography

22. Display Hologram Fabrication Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

23. Holographic Reconstruction Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography

24. Questions How to make color holograms? How does motion appear in holograms? How do obscured items appear in holograms? Lecture 5. Display Holographywww.disp.duke.edu/~dbrady/courses/holography