Abstract

Incoherent digital holography (IDH) can be realized by optical scanning holography or self-interference incoherent holography. Although IDH can exhibit high quality reconstruction due to its inherently speckle-free property, direct display of an incoherent hologram is a challenge because of its amplitude nonlinearity and the demand of complex modulation. In this paper we propose to compensate the amplitude nonlinearity at the object plane, and use bidirectional error-diffusion method to convert the complex-type incoherent Fresnel hologram to a phase-only Fresnel hologram for display. A spatial light modulator is used to reconstruct the phase-only hologram optically to demonstrate the validity of our proposed method.

© 2016 Optical Society of America

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References

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2016 (2)

2015 (4)

2014 (3)

2013 (5)

2012 (4)

2011 (4)

2009 (1)

2008 (1)

J. Rosen and G. Brooker, “Non-scanning motionless fluorescence three-dimensional holographic microscopy,” Nat. Photonics 2(3), 190–195 (2008).
[Crossref]

2007 (2)

Brooker, G.

Clark, D. C.

Faridian, A.

Gao, P.

Guo, C.-H.

Hsiao, W.-J.

Hsieh, W.-Y.

Jang, C.

Jiao, A. S. M.

Kang, H.

Kelner, R.

Kim, H.

Kim, J.

Kim, M. K.

Kim, T.

Kim, Y. S.

Körner, K.

Lee, B.

Lee, C.-C.

Leng, J.

Leportier, T.

Liu, J.-P.

Lo, Y.-H.

Lu, S.-H.

J.-P. Liu, D.-Z. Luo, and S.-H. Lu, “Spatial–temporal demodulation technique for heterodyne optical scanning holography,” Opt. Lasers Eng. 68(1), 42–49 (2015).
[Crossref]

Luo, D.-Z.

J.-P. Liu, D.-Z. Luo, and S.-H. Lu, “Spatial–temporal demodulation technique for heterodyne optical scanning holography,” Opt. Lasers Eng. 68(1), 42–49 (2015).
[Crossref]

J.-P. Liu, C.-C. Lee, Y.-H. Lo, and D.-Z. Luo, “Vertical-bandwidth-limited digital holography,” Opt. Lett. 37(13), 2574–2576 (2012).
[Crossref] [PubMed]

Meng, P.

Naik, D.

Onural, L.

Osten, W.

Ozaktas, H. M.

Panezai, S.

Park, M. C.

Pedrini, G.

Poon, T.-C.

Rivenson, Y.

Rong, L.

Rosen, J.

Sang, X.

Siegel, N.

Singh, A. K.

Stern, A.

Takeda, M.

Tsang, P.

Tsang, P. W. M.

Ulusoy, E.

Uzan, A.

Wang, D.

Wang, V.

Wang, Y.

Wilke, M.

Woo, S. S.

Yan, B.

Zhou, C.

Appl. Opt. (5)

Biomed. Opt. Express (1)

Chin. Opt. Lett. (1)

J. Opt. Soc. Am. A (3)

J. Opt. Soc. Korea (1)

Nat. Photonics (1)

J. Rosen and G. Brooker, “Non-scanning motionless fluorescence three-dimensional holographic microscopy,” Nat. Photonics 2(3), 190–195 (2008).
[Crossref]

Opt. Express (8)

G. Brooker, N. Siegel, V. Wang, and J. Rosen, “Optimal resolution in Fresnel incoherent correlation holographic fluorescence microscopy,” Opt. Express 19(6), 5047–5062 (2011).
[Crossref] [PubMed]

J. Rosen and G. Brooker, “Fluorescence incoherent color holography,” Opt. Express 15(5), 2244–2250 (2007).
[Crossref] [PubMed]

Y. S. Kim, T. Kim, S. S. Woo, H. Kang, T.-C. Poon, and C. Zhou, “Speckle-free digital holographic recording of a diffusely reflecting object,” Opt. Express 21(7), 8183–8189 (2013).
[Crossref] [PubMed]

T. Leportier, M. C. Park, Y. S. Kim, and T. Kim, “Converting optical scanning holograms of real objects to binary Fourier holograms using an iterative direct binary search algorithm,” Opt. Express 23(3), 3403–3411 (2015).
[Crossref] [PubMed]

Y. Wang, P. Meng, D. Wang, L. Rong, and S. Panezai, “Speckle noise suppression in digital holography by angular diversity with phase-only spatial light modulator,” Opt. Express 21(17), 19568–19578 (2013).
[Crossref] [PubMed]

M. K. Kim, “Full color natural light holographic camera,” Opt. Express 21(8), 9636–9642 (2013).
[Crossref] [PubMed]

P. W. M. Tsang and T.-C. Poon, “Novel method for converting digital Fresnel hologram to phase-only hologram based on bidirectional error diffusion,” Opt. Express 21(20), 23680–23686 (2013).
[Crossref] [PubMed]

P. W. M. Tsang, A. S. M. Jiao, and T.-C. Poon, “Fast conversion of digital Fresnel hologram to phase-only hologram based on localized error diffusion and redistribution,” Opt. Express 22(5), 5060–5066 (2014).
[Crossref] [PubMed]

Opt. Lasers Eng. (1)

J.-P. Liu, D.-Z. Luo, and S.-H. Lu, “Spatial–temporal demodulation technique for heterodyne optical scanning holography,” Opt. Lasers Eng. 68(1), 42–49 (2015).
[Crossref]

Opt. Lett. (5)

Other (6)

T.-C. Poon and J.-P. Liu, Introduction to Modern Digital Holography with MATLAB® (Cambridge University, 2014).

U. Schnars and W. Jueptner, Digital Holography (Springer, 2005).

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

J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (Roberts and Company, 2005).

J.-P. Liu, and S.-Y. Wang, “Stereo-Lighting Reconstruction of Optical Scanning Holography,” IEEE Trans. Ind. Informat. (in revision) (2016).

T.-C. Poon, Optical Scanning Holography with MATLAB (Springer, 2007).

Supplementary Material (1)

NameDescription
» Visualization 1: MOV (2265 KB)      video of reconstructed images

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Figures (4)

Fig. 1
Fig. 1 (a) Absolute amplitude | E r | , i.e., the true intensity distribution, and (b) intensity I r of the reconstructed image carrying nonlinearity error.
Fig. 2
Fig. 2 Flow chart of the generation of a phase-only Fresnel hologram from a complex hologram recorded by IDH.
Fig. 3
Fig. 3 Digitally reconstructed image of the on-axis phase-only Fresnel hologram (a), and its zoom-in view (b). (c) Selected portions of reconstructed images at different planes.
Fig. 4
Fig. 4 Optically reconstructed images of hologram titles of (a) on-axis phase-only hologram, and (b) off-axis phase-only hologram. (c) Whole image stitched from multiple reconstructed images (see Visualization 1).

Tables (1)

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Table 1 Parameters of the original complex field and the converted phase-only hologram

Equations (6)

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U incoh (x,y)= R(x,y;z) h e * (x,y;z)dz ,
h e (x,y;z)= jk 2πz exp[ jk 2z ( x 2 + y 2 )]
E r (x,y; z r )= U incoh (x,y)h(x,y; z r ),
E r (x,y; z r = z 0 )=R(x,y) h e * (x,y; z 0 )h(x,y; z 0 )=R(x,y)exp[jk z 0 ].
I r (x,y; z r = z 0 )= | E r (x,y; z r = z 0 ) | 2 = R 2 (x,y).
E r (x,y)= | E r (x,y; z r = z 0 ) | 1/2 exp{ j×arg( E r (x,y; z r = z 0 )) }.

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