Abstract

We report, for the first time, the concept and generation of a novel Fresnel hologram called the digital binary mask programmable hologram (BMPH). A BMPH is comprised of a static, high resolution binary grating that is overlaid with a lower resolution binary mask. The reconstructed image of the BMPH can be programmed to approximate a target image (including both intensity and depth information) by configuring the pattern of the binary mask with a simple genetic algorithm (SGA). As the low resolution binary mask can be realized with less stringent display technology, our method enables the development of simple and economical holographic video display.

© 2012 OSA

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. P. Tsang, W. K. Cheung, T.-C. Poon, and C. Zhou, “Holographic video at 40 frames per second for 4-million object points,” Opt. Express19(16), 15205–15211 (2011).
    [CrossRef] [PubMed]
  2. T. Shimobaba, H. Nakayama, N. Masuda, and T. Ito, “Rapid calculation algorithm of Fresnel computer-generated-hologram using look-up table and wavefront-recording plane methods for three-dimensional display,” Opt. Express18(19), 19504–19509 (2010).
    [CrossRef] [PubMed]
  3. M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. G. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, “100-megapixel computer-generated holographic images from Active Tiling: a dynamic and scalable electro-optic modulator system,” SPIE5005, 247–258 (2003).
  4. N. Collings, “Optically Addressed Spatial Light Modulators for 3d Display,” J. Nonlinear Opt. Phys. Mater.20(4), 453–457 (2011).
    [CrossRef]
  5. C. Slinger, C. Cameron, and M. Stanley, “Computer-generated holography as a generic display technology,” Computer38(8), 46–53 (2005).
    [CrossRef]
  6. H.-S. Lee, H. Song, S. Lee, N. Collings, and D. Chu, “High resolution spatial light modulator for wide viewing angle holographic 3D display,” Coll. Conf. 3D Res., (CC3DR), 71–72, (2012).
  7. T.-C. Poon, Digital Holography and Three-Dimensional Display: Principles and Applications (Springer, 2006).
  8. D. E. Golberg, Genetic Algorithms in Search, Optimization, and Machine Learning (Addison Wesley, 1989).
  9. A. M. Zalzala and P. J. Fleming, eds., Genetic Algorithms in Engineering Systems (Inst. of Elec. Enggs., 1997).
  10. W. M. Spears and V. Anand, “A study of crossover operators in genetic programming,” Proc. of the Sixth Int'l Sym. on Meth. for Intell. Syst., (ISMIS 91), 542, 409–418 (1991).

2011

P. Tsang, W. K. Cheung, T.-C. Poon, and C. Zhou, “Holographic video at 40 frames per second for 4-million object points,” Opt. Express19(16), 15205–15211 (2011).
[CrossRef] [PubMed]

N. Collings, “Optically Addressed Spatial Light Modulators for 3d Display,” J. Nonlinear Opt. Phys. Mater.20(4), 453–457 (2011).
[CrossRef]

2010

2005

C. Slinger, C. Cameron, and M. Stanley, “Computer-generated holography as a generic display technology,” Computer38(8), 46–53 (2005).
[CrossRef]

Cameron, C.

C. Slinger, C. Cameron, and M. Stanley, “Computer-generated holography as a generic display technology,” Computer38(8), 46–53 (2005).
[CrossRef]

Cheung, W. K.

Collings, N.

N. Collings, “Optically Addressed Spatial Light Modulators for 3d Display,” J. Nonlinear Opt. Phys. Mater.20(4), 453–457 (2011).
[CrossRef]

Ito, T.

Masuda, N.

Nakayama, H.

Poon, T.-C.

Shimobaba, T.

Slinger, C.

C. Slinger, C. Cameron, and M. Stanley, “Computer-generated holography as a generic display technology,” Computer38(8), 46–53 (2005).
[CrossRef]

Stanley, M.

C. Slinger, C. Cameron, and M. Stanley, “Computer-generated holography as a generic display technology,” Computer38(8), 46–53 (2005).
[CrossRef]

Tsang, P.

Zhou, C.

Computer

C. Slinger, C. Cameron, and M. Stanley, “Computer-generated holography as a generic display technology,” Computer38(8), 46–53 (2005).
[CrossRef]

J. Nonlinear Opt. Phys. Mater.

N. Collings, “Optically Addressed Spatial Light Modulators for 3d Display,” J. Nonlinear Opt. Phys. Mater.20(4), 453–457 (2011).
[CrossRef]

Opt. Express

Other

M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. G. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, “100-megapixel computer-generated holographic images from Active Tiling: a dynamic and scalable electro-optic modulator system,” SPIE5005, 247–258 (2003).

H.-S. Lee, H. Song, S. Lee, N. Collings, and D. Chu, “High resolution spatial light modulator for wide viewing angle holographic 3D display,” Coll. Conf. 3D Res., (CC3DR), 71–72, (2012).

T.-C. Poon, Digital Holography and Three-Dimensional Display: Principles and Applications (Springer, 2006).

D. E. Golberg, Genetic Algorithms in Search, Optimization, and Machine Learning (Addison Wesley, 1989).

A. M. Zalzala and P. J. Fleming, eds., Genetic Algorithms in Engineering Systems (Inst. of Elec. Enggs., 1997).

W. M. Spears and V. Anand, “A study of crossover operators in genetic programming,” Proc. of the Sixth Int'l Sym. on Meth. for Intell. Syst., (ISMIS 91), 542, 409–418 (1991).

Supplementary Material (1)

» Media 1: AVI (2497 KB)     

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

High resolution holographic display based on the OASLM + AT method.

Fig. 2
Fig. 2

Structure of the binary mask programmable hologram (BMPH): A low resolution binary mask overlaid onto a high resolution binary grating.

Fig. 3
Fig. 3

Structure of the chromosome for representing M( x,y ) .

Fig. 4
Fig. 4

(a) A planar image placed at 0.4m from the hologram. (b) Simulated reconstructed image of the hologram display by a SLM of pixel size of 5μm at 0.4m, c) Same as (b) but with SLM of pixel size of 20μm , (d) Binary mask corresponding to the target image in Fig. 4(a). (e) Reconstructed image of the BMPH at 0.4m (Excerpted from the first frame in Media 1)

Tables (4)

Tables Icon

Table 1 SGA for determining the mask for optimizing the function in Eq. (4)

Tables Icon

Table 2 Optical setting of the Fresnel hologram

Tables Icon

Table 3 Optical setting of the BMPH

Tables Icon

Table 4 Comparison between OASLM + AT and our proposed method

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

G( x,y )=1 if ( x+y )=odd, and 0 otherwise.
B( x,y )=G( x,y )M( x,y ).
I d ( x,y )=| p=0 X q=0 Y B( p,q )exp( j 2π λ [ ( xp )δd ] 2 + [ ( yq )δd ] 2 + z d 2 ) |,
O d = 1 XY p=0 X q=0 Y [ T d ( p,q ) I d ( p,q ) ] 2 .

Metrics