Asian Journal of Physics Vol 31, Nos 11 & 12 (2022) 1019-1025

Diffraction in a volume hologram made simple

Ching-Cherng Sun1,2, Chih-Yuan Cheng1 and Yeh-Wei Yu1
1Department of Optical and Photonics, National Central University, Chung-Li, 32054 Taiwan,
2Department of Electrophysics, National Yang Ming Chiao Tung University, Hsin-Chu, 30010 Taiwan

Dedicated to Professor Partha Banerjee for his enormous contributions to the advancement of research
and education in holography through his unique vision and outstanding dedication


Volume hologram is different from a plane hologram owing to the non-negligible thickness along the direction of the diffracted light. The diffraction calculation from a volume hologram becomes complicated when the incident light is not a plane wave. In this paper, we introduce a calculation model, the VOHIL model, and make it simple to figure out the mechanism. © Anita Publications. All rights reserved.
Keywords: Volume holography, Thick hologram, Diffraction efficiency, Bragg selectivity.


Peer Review Information
Method: Single- anonymous; Screened for Plagiarism? Yes
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References

  1. Collier R J, Burckhardt C B, Lin L H, Optical Holography, (Academic Press, New York and London), 1971.
  2. Denz C, Pauliat G, Roosen G, Tschudi T, Volume hologram multiplexing using a deterministic phase encoding method, Opt Commun, 85(1991)171–176.
  3. Rakuljic G A, Leyva V, Yariv A, Optical data storage by using orthogonal wavelength-multiplexed volume holograms, Opt Lett, 17(1992)1471–1473.
  4. Heanue J F, Bashaw M C, Hesselink L, Volume holographic storage and retrieval of digital data, Science, 265(1994)749–752.
  5. Lin S H, Hsu K Y, Chen W Z, Whang W T, Phenanthrenequinone-doped poly (methyl methacrylate) photopolymer bulk for volume holographic data storage, Opt Lett, 25(2000)451–453.
  6. Horimai H, Tan X, Li J, Collinear holography, Appl Opt, 44(2005)2575–2579.
  7. Yu Y W, Teng T C, Hsieh S C, Cheng C Y, Sun C C, Shifting selectivity of collinear volume holographic storage, Opt Commun, 283(2010)3895–3900.
  8. Close D H, Holographic Optical Elements, Opt Eng, 14(1975)145408; doi.org/10.1117/12.7971806.
  9. Sweatt W C, Describing holographic optical elements as lenses, J Opt Soc Am, 67(1977)803–808.
  10. Chang B J, Leonard C D, Dichromated gelatin for the fabrication of holographic optical elements, Appl Opt, 18(1979)2407–2417.
  11. Lukin A V, Holographic optical elements, J Opt Technol, 74(2007)65–70.
  12. Jang C, Lee C K, Jeong J, Li G, Lee S, Yeom J, Hong K, Lee B, Recent progress in see-through three-dimensional displays using holographic optical elements, Appl Opt, 55(2016)A71–A85.
  13. Wyrowski F, Diffractive optical elements: iterative calculation of quantized, blazed phase structures, J Opt Soc Am A, 7(1990)961–969.
  14. Leger J R, Chen D, Wang Z, Diffractive optical element for mode shaping of a Nd:YAG laser, Opt Lett, 19(1994)108–110.
  15. Gale M T, Replication techniques for diffractive optical elements, Microelectr Eng, 34(1997)321–339.
  16. Arieli Y, Ozeri S, Eisenberg N, Noach S, Design of a diffractive optical element for wide spectral bandwidth, Opt Lett, 23(1998)823–824.
  17. Kress B, Meyrueis P, Digital diffractive optics, (John Wiley & Sons, New York), 2000.
  18. O’Shea D C, Suleski T J, Kathman A D, Prather D W, Diffractive optics: design, fabrication, and test, (SPIE Press, Bellingham, Wash USA), 2004.
  19. Kogelnik H, Coupled-wave theory for thick hologram gratings, Bell Syst Tech J, 48(1969)2909–2947.
  20. Yeh P, Introduction to Photorefractive Nonlinear Optics, (Wiley, New York), 1993.
  21. Sun C C, Simplified model for diffraction analysis of volume holograms, Opt Eng, 42(2003)1184–1185.
  22. Su W C, Chen Y W, Chen Y J, Lin S H, Wang L K, Security optical data storage in Fourier holograms, Appl Opt, 51(2012)1297–1303.
  23. Lee X H, Yu Y W, Lee K H, Ma S H, Sun C C, Random phase encoding in holographic optical storage with energy-effective phase modulation by a phase plate of micro-lens array, Opt Commun, 287(2013)40–44.
  24. Yu Y W, Shu C M, Sun C C, Hsieh P K, Yang T H, Optical servo with high design freedom using spherical-wave Bragg degeneracy in a volume holographic optical element, Opt Express, 27(2019)35512–35523.
  25. Coufal H J, Psaltis D, Sincerbox G T, Eds, Holographic data storage, (Springer, New York), 2000.
  26. Born M, Wolf E, Principles of Optics, 7th edn, (Cambridge University Press, UK), 1999.
  27. Sun C C, Banerjee P P, Special section guest editorial: Volume holographic optical elements, Opt Eng, 43(2004)1957–1958.
  28. Kress B C, Optical Architectures for Augmented-, Virtual-, and Mixed-Reality Headsets, (SPIE Press, Bellingham, Wash, USA), 2020.
  29. Xiong J, Yin K, Li K, Wu S T, Holographic optical elements for augmented reality: principles, present status, and future perspectives, Adv Photon Res, 2(2021) Art No.2000049; doi.org/10.1002/adpr.202000049.
  30. Lv Z, Liu J, Xu L, A multi-plane augmented reality head-up display system based on volume holographic optical elements with large area, IEEE Photon J, 13(2021)1–8.
  31. Mok F H, Angle-multiplexed storage of 5000 holograms in lithium niobate, Opt Lett, 18(1993)915917.
  32. Sun C C, Hsu C Y, Ouyang Y, Su W C, Chiou A E T, All-optical angular sensing based on holography multiplexing with spherical waves, Opt Eng, 41(2002)2809–2813.
  33. Sun C C, Teng T C, Yu Y W, One-dimensional optical imaging with a volume holographic optical element, Opt Lett, 30(2005)1132–1134.
  34. Sun C C, Su W C, Three-dimensional shifting selectivity of random phase encoding in volume holograms, Appl Opt, 40(2001)1253–1260.
  35. Sun C C, Tsou R H, Chang W, Chang J Y, Random phase-coded multiplexing of hologram volumes using ground glass, Opt Quant Electron, 28(1996)1551–1561.
  36. Sun C C, Sun W C, Wang B, Ouyang Y, Diffraction selectivity of holograms with random phase encoding, Opt Commun, 175(2000)67–74.
  37. Wang B, Sun C C, Su W C, Chiou A E T, Shift-tolerance property of an optical double-random phase-encoding encryption system, Appl Opt, 39(2000)4788–4793.
  38. Sun C C, Su W C, Wang B, Chiou A E T, Lateral shifting sensitivity of a ground glass for holographic encryption and multiplexing using phase conjugate readout algorithm, Opt Commun, 191(2001)209–224.
  39. Su W C, Chen Y W, Ouyang Y, Sun C C, Wang B, Optical identification using a random phase mask, Opt Commun, 219(2003)117–123.
  40. Su W C, Sun C C, Chen Y C, Yueh Ouyang Y, Duplication of phase key for random-phase-encrypted volume holograms, Appl Opt, 43(2004)1728–1733.
  41. Sun C C, Hsu C Y, Ma S H, Su W C, Rotation selectivity of random phase encoding in volume holograms, Opt Commun, 276(2007)62–66.
  42. Su W C, Sun C C, Review of random phase encoding in volume holographic storage, Materials, 5(2012)1635–1653.