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Applied Optics

Applied Optics


  • Vol. 40, Iss. 32 — Nov. 10, 2001
  • pp: 5840–5851

Diffractive exit-pupil expander for display applications

Hakan Urey  »View Author Affiliations

Applied Optics, Vol. 40, Issue 32, pp. 5840-5851 (2001)

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Two-dimensional binary diffraction gratings can be used in wearable display applications as exit-pupil expanders (EPEs) (or numerical-aperture expanders) to increase the size of the display exit pupil. In retinal scanning displays the EPE is placed at an intermediate image plane between the scanners and the display exit pupil. A focused spot scans across the diffractive EPE and produces multiple diffraction orders at the exit pupil. The overall luminance uniformity across the exit pupil as perceived by the viewer is a function of the uniformity of the diffraction-order intensities, focused-spot size, grating period, scanning-beam profile, and the viewer’s eye-pupil size. The design, the diffraction-order uniformity, and the effects of the grating phase angle on the uniformity for binary diffraction gratings are discussed. Also discussed are the display exit-pupil uniformity and the impact of the diffractive EPE on the point-spread function and the modulation transfer function of the display. Both theoretical and experimental results are presented.

© 2001 Optical Society of America

OCIS Codes
(050.1380) Diffraction and gratings : Binary optics
(050.1950) Diffraction and gratings : Diffraction gratings
(110.4100) Imaging systems : Modulation transfer function
(120.2040) Instrumentation, measurement, and metrology : Displays

Original Manuscript: January 26, 2001
Published: November 10, 2001

Hakan Urey, "Diffractive exit-pupil expander for display applications," Appl. Opt. 40, 5840-5851 (2001)

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  1. H. L. Task, “HMD image source, optics, and the visual interface,” in Head Mounted Displays: Designing for the User, J. E. Melzer, K. Moffitt, eds. (McGraw-Hill, New York, 1997), Chap. 3, pp. 55–82.
  2. C. E. Rash, ed., Helmet-Mounted Displays: Design Issues for Rotary-Wing Aircraft, Vol. PM93 of SPIE Monographs and Handbooks Series (SPIE Press, Bellingham, Wash., 2001).
  3. H. Urey, “Retinal scanning displays,” in Encyclopedia of Optical Engineering, R. B. Johnson, R. G. Diggers, eds. (Marcel Dekker, New York, 2001).
  4. H. Urey, N. Nestorovic, B. Ng, A. Gross, “Optics designs and system MTF for laser scanning displays,” in Helmet and Head-Mounted Displays IV, R. J. Lewandowski, L. A. Haworth, H. J. Girolamo, eds., Proc. SPIE3689, 238–248 (1999). [CrossRef]
  5. H. Urey, D. W. Wine, T. D. Osborn, “Optical performance requirements for MEMS-scanner based microdisplays,” in MOEMS and Miniaturized Systems, M. E. Motamedi, R. Göring, eds., Proc. SPIE4178, 176–185 (2000). [CrossRef]
  6. A. Stevens, H. Urey, P. Lopez, T. R. M. Sales, R. McGuire, D. H. Raguin, “Diffractive optical elements for numerical aperture expansion in retinal scanning displays,” in DiffractiveOptics and Micro-Optics, Vol. 41 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2000), pp. 316–318.
  7. M. R. Taghizadeh, P. Blair, B. Layet, I. M. Barton, A. J. Waddie, N. Ross, “Design and fabrication of diffractive optical elements,” Microelectron. Eng. 34, 219–242 (1997). [CrossRef]
  8. H. Dammann, K. Gortler, “High efficiency in line multiple imaging by means of multiple phase holograms,” Opt. Commun. 3, 312–315 (1971). [CrossRef]
  9. J. Turunen, M. Kuittinen, F. Wyrowski, “Diffractive optics: electromagnetic approach,” in Progress in Optics, E. Wolf, ed. (Elsevier, New York, 1999), Vol. XL, Chap. 5, pp. 341–387.
  10. P. Blair, H. Lpken, M. R. Taghizadeh, F. Wyrowski, “Multilevel phase-only array generators with a trapezoidal phase topology,” Appl. Opt. 36, 4713–4721 (1997). [CrossRef] [PubMed]
  11. W. Daschner, P. Long, R. Stein, C. Wu, S. H. Lee, “Cost-effective mass fabrication of multilevel diffractive optical elements by use of a single optical exposure with a gray-scale mask on high-energy beam-sensitive glass,” Appl. Opt. 36, 4675–4680 (1997). [CrossRef] [PubMed]
  12. Holomaster II software, Flexible Optical, BV ( http://www.okotech.com/hm/index.html ).
  13. S. Kirkpatrick, C. Gelatt, J. Vecchi, “Optimization by simulated annealing,” Science 220, 671–680 (1983). [CrossRef] [PubMed]
  14. W. Lee, “High efficiency multiple beam gratings,” Appl. Opt. 18, 2152–2157 (1979). [CrossRef] [PubMed]
  15. J. Jahns, M. M. Downs, M. E. Prise, N. Streibl, S. J. Walker, “Dammann gratings for laser beam shaping,” Opt. Eng. 28, 1267–1275 (1989). [CrossRef]
  16. H. Urey, “Diffraction limited resolution and maximum contrast for scanning displays,” in 2000 SID International Symposium Technical Digest of Papers (Society of Information Display, San Jose, Calif., 2000), Vol. XXXI, pp. 866–869. [CrossRef]

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