Abstract

Quality of holographic reconstruction image is seriously affected by undesirable messy fringes in polygon-based computer generated holography. Here, several methods have been proposed to improve the image quality, including a modified encoding method based on spatial-domain Fraunhofer diffraction and a specific LED light source. Fast Fourier transform is applied to the basic element of polygon and fringe-invisible reconstruction is achieved after introducing initial random phase. Furthermore, we find that the image with satisfactory fidelity and sharp edge can be reconstructed by either a LED with moderate coherence level or a modulator with small pixel pitch. Satisfactory image quality without obvious speckle noise is observed under the illumination of bandpass-filter-aided LED. The experimental results are consistent well with the correlation analysis on the acceptable viewing angle and the coherence length of the light source.

© 2015 Optical Society of America

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References

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2014 (2)

2013 (2)

2012 (1)

Y. Zhao, L. Cao, H. Zhang, and Q. He, “Holographic display with LED illumination based on phase-only spatial light modulator,” Proc. SPIE 8559, 85590B (2012).
[Crossref]

2011 (3)

2010 (2)

2009 (5)

2008 (2)

2006 (1)

2005 (1)

2003 (1)

2002 (1)

1995 (1)

Ahrenberg, L.

Amako, J.

Benzie, P.

Cao, L.

Y. Zhao, L. Cao, H. Zhang, and Q. He, “Holographic display with LED illumination based on phase-only spatial light modulator,” Proc. SPIE 8559, 85590B (2012).
[Crossref]

Chen, B.-C.

Chen, N.

Choi, H.-J.

Dong, J.-W.

Geng, J.

J. Geng, “Three-dimensional display technologies,” Adv. Opt. Photonics 5(4), 456–535 (2013).
[Crossref] [PubMed]

Godo, H.

Hahn, J.

He, H.-X.

He, Q.

Y. Zhao, L. Cao, H. Zhang, and Q. He, “Holographic display with LED illumination based on phase-only spatial light modulator,” Proc. SPIE 8559, 85590B (2012).
[Crossref]

Hong, J.

Hong, K.

Horiuchi, M.

Ichihashi, Y.

Im, D.

Ito, T.

Jia, J.

Kang, H.

Kim, E.-S.

Kim, H.

Kim, M.

Kim, S.-C.

Kim, Y.

Lee, B.

Lee, W.

Li, X.

Liu, J.

Liu, Y.-Z.

Magnor, M.

Masuda, N.

Matsushima, K.

Min, S.-W.

Miura, H.

Moon, E.

Nakahara, S.

Nakayama, H.

Nishi, H.

Onural, L.

Paek, J.

Pan, Y.

Park, J.-H.

Pu, Y.-Y.

Roh, J.

Schimmel, H.

Shimobaba, T.

Shiraki, A.

Sonehara, T.

Sugie, T.

Tanaka, T.

Wang, H.-Z.

Wang, Y.

Watson, J.

Wyrowski, F.

Yaras, F.

Yu, Y.

Zhang, H.

Y. Zhao, L. Cao, H. Zhang, and Q. He, “Holographic display with LED illumination based on phase-only spatial light modulator,” Proc. SPIE 8559, 85590B (2012).
[Crossref]

Zhao, Y.

Y. Zhao, L. Cao, H. Zhang, and Q. He, “Holographic display with LED illumination based on phase-only spatial light modulator,” Proc. SPIE 8559, 85590B (2012).
[Crossref]

Zheng, H.

Adv. Opt. Photonics (1)

J. Geng, “Three-dimensional display technologies,” Adv. Opt. Photonics 5(4), 456–535 (2013).
[Crossref] [PubMed]

Appl. Opt. (10)

J. Amako, H. Miura, and T. Sonehara, “Speckle-noise reduction on kinoform reconstruction using a phase-only spatial light modulator,” Appl. Opt. 34(17), 3165–3171 (1995).
[Crossref] [PubMed]

K. Matsushima, “Computer-generated holograms for three-dimensional surface objects with shade and texture,” Appl. Opt. 44(22), 4607–4614 (2005).
[Crossref] [PubMed]

L. Ahrenberg, P. Benzie, M. Magnor, and J. Watson, “Computer generated holograms from three dimensional meshes using an analytic light transport model,” Appl. Opt. 47(10), 1567–1574 (2008).
[Crossref] [PubMed]

H. Kim, J. Hahn, and B. Lee, “Mathematical modeling of triangle-mesh-modeled three-dimensional surface objects for digital holography,” Appl. Opt. 47(19), D117–D127 (2008).
[Crossref] [PubMed]

S.-C. Kim and E.-S. Kim, “Fast computation of hologram patterns of a 3D object using run-length encoding and novel look-up table methods,” Appl. Opt. 48(6), 1030–1041 (2009).
[Crossref] [PubMed]

F. Yaraş, H. Kang, and L. Onural, “Real-time phase-only color holographic video display system using LED illumination,” Appl. Opt. 48(34), H48–H53 (2009).
[Crossref] [PubMed]

J.-H. Park, K. Hong, and B. Lee, “Recent progress in three-dimensional information processing based on integral imaging,” Appl. Opt. 48(34), H77–H94 (2009).
[Crossref] [PubMed]

J. Hong, Y. Kim, H.-J. Choi, J. Hahn, J.-H. Park, H. Kim, S.-W. Min, N. Chen, and B. Lee, “Three-dimensional display technologies of recent interest: principles, status, and issues [Invited],” Appl. Opt. 50(34), H87–H115 (2011).
[Crossref] [PubMed]

H. Nishi, K. Matsushima, and S. Nakahara, “Rendering of specular surfaces in polygon-based computer-generated holograms,” Appl. Opt. 50(34), H245–H252 (2011).
[Crossref] [PubMed]

Y. Pan, Y. Wang, J. Liu, X. Li, and J. Jia, “Fast polygon-based method for calculating computer-generated holograms in three-dimensional display,” Appl. Opt. 52(1), A290–A299 (2013).
[Crossref] [PubMed]

J. Opt. Soc. Am. A (1)

Opt. Express (7)

Opt. Lett. (2)

Proc. SPIE (1)

Y. Zhao, L. Cao, H. Zhang, and Q. He, “Holographic display with LED illumination based on phase-only spatial light modulator,” Proc. SPIE 8559, 85590B (2012).
[Crossref]

Other (2)

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996).

J. W. Goodman, Speckle Phenomena in Optics (Roberts & Company, 2006).

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Figures (5)

Fig. 1
Fig. 1 Comparison of numerical reconstructed image using (a)-(b) analytical Fourier transform and (c)-(d) fast Fourier transform method. The rectangle sizes are 10 × 10 mm. The rectangle with texture of character A locates at 800 mm away from the hologram plane while that with character B locates at 1100 mm. The rectangles are subdivided to tens of triangles in (a) and (b), while not in (c) and (d). Note that the unexpected fringes can be seen in (a) and (b) due to the use of analytical method, while a smooth rectangle in (c) and (d) is reconstructed by fast Fourier transform. When the reconstruction distance is 800 mm, the rectangle with character A is in focus and that with character B is out of focus in (a) and (c), and vice versa.
Fig. 2
Fig. 2 Schematic diagram of LED-illuminated holographic system. P is an arbitrary point in the imaging area, r is the distance between reconstructed image and hologram, AB = np is the transverse length of SLM, where n is number of pixels, p is the pixel pitch. ΔL is the OPD between AP and BP. xmax is the maximal transverse displacement of image area in the first diffraction order.
Fig. 3
Fig. 3 (a) Image quality factor R described by Eq. (3), changes with the position of image point. Image quality can be guaranteed only if the reconstructed image locates within the red circle. (b) Acceptable angle increases with the decrease of the pixel pitch, when the coherence length is fixed. (c) Acceptable angle as a function of the coherence length for a given pixel pitch.
Fig. 4
Fig. 4 Analysis on the imaging quality at different locations on the image plane. Experimental results of the same model are shown in (a)-(d). Extra linear phase is added to the modulator in order to shift the image away from the zero-order light, and sharp edge of the model can be seen only on the patterns near the optical axis. The red circles indicate that R = 1. (e) Intensity profiles of the white segments in (a)-(d) are plotted and the best result is obtained for the curve of (b) because of the minimal distance between the model and optical axis among these three cases.
Fig. 5
Fig. 5 Analysis on the influence of bandwidth of the light source. Experimental results employing (a) laser (Δλ = 10−4nm), (b) LED with filter (9.6nm), (c) LED with filter (18nm) and (d) naked LED without filter (Δλ = 27nm) are shown. Speckle contrast ratios of (a)-(d) are calculated and numerical simulation are carried out in (e). Note that there is a proper bandwidth of light source for the holographic system, which keeps imaging quality and speckle noise in good balance.

Equations (4)

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O H ( x H , y H )= exp[ik( z c + r 0 )] iλ r 0 { O o ( x l , y l )},
{ O o ( x l , y l )}=( a 22 a 11 a 12 a 21 )exp(i2π a 13 x H + a 23 y H λ r 0 ) Δ ( a 11 x H + a 21 y H λ r 0 , a 12 x H + a 22 y H λ r 0 ).
R= ΔL / (10 L c ) = npx / (10r L c ) = npθ / (10 L c ) .
C= σ I / I ¯ = 1 N i=1 N ( p i I ¯ ) 2 / I ¯ .

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