Abstract

A method for computing and synthesizing a diffractive optical element (DOE) on a cylindrical surface is proposed. The computer-generated hologram is a phase reflecting DOE, which, when illuminated with white light, displays a 3D image with a 360° viewing angle. The optical element consists of hogels with the size of about 50 microns, which are partly filled with diffraction gratings of various periods and orientations. The DOE is synthesized using electron-beam technology with a resolution of 0.1 micron. Flat optical elements can be replicated using standard equipment employed to produce rainbow relief holograms. When placed on a cylindrical surface, optical elements made on a flexible base display a 3D image observed at 360° viewing angles. The DOE developed can be used to protect objects against counterfeit.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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2017 (1)

A. V. Goncharsky, A. A. Goncharsky, and S. Durlevich, “High-resolution full-parallax computer-generated holographic stereogram created by e-beam technology,” Opt. Eng. 56, 56 (2017).

2016 (1)

2015 (1)

2011 (1)

2010 (1)

2008 (1)

2005 (1)

1985 (1)

1982 (1)

1967 (1)

Durlevich, S.

Fernandes, J. C. A.

Fujii, T.

Goncharsky, A.

Goncharsky, A. A.

A. V. Goncharsky, A. A. Goncharsky, and S. Durlevich, “High-resolution full-parallax computer-generated holographic stereogram created by e-beam technology,” Opt. Eng. 56, 56 (2017).

Goncharsky, A. V.

A. V. Goncharsky, A. A. Goncharsky, and S. Durlevich, “High-resolution full-parallax computer-generated holographic stereogram created by e-beam technology,” Opt. Eng. 56, 56 (2017).

Itoh, M.

Jackin, B. J.

Jeong, T. H.

Murata, K.

Sando, Y.

Sato, R.

Soares, O. D. D.

Yamaguchi, T.

Yatagai, T.

Yoshikawa, H.

Appl. Opt. (4)

J. Opt. Soc. Am. (1)

Opt. Eng. (1)

A. V. Goncharsky, A. A. Goncharsky, and S. Durlevich, “High-resolution full-parallax computer-generated holographic stereogram created by e-beam technology,” Opt. Eng. 56, 56 (2017).

Opt. Express (4)

Other (6)

P. Rai-Choudhury, Handbook of Microlithography, Micromachining, and Microfabrication: Microlithography (SPIE Optical Engineering, 1997).

A. Bakushinsky and A. Goncharsky, Ill-Posed Problems: Theory and Applications (Springer Netherlands, 1994).

E. Popov, Gratings: Theory and Numeric Applications, Second Revisited Edition (Institut Fresnel, 2014).

R. L. Van Renesse, Optical Document Security, Artech House optoelectronics library (Artech House, 2005).

J. Wang, Q. Wang, and Y. Hu, “Cylindrical hologram recorder method based on outside-in propagation model,” in Imaging and Applied Optics 2014, p. DM4B.5 (Optical Society of America, 2014).

A. Kashiwagi and Y. Sakamoto, “A fast calculation method of cylindrical computer-generated holograms which perform image reconstruction of volume data,” in Adaptive Optics: Analysis and Methods/Computational Optical Sensing and Imaging/Information Photonics/Signal Recovery and Synthesis Topical Meetings on CD-ROM, p. DWB7 (Optical Society of America, 2007).

Supplementary Material (1)

NameDescription
» Visualization 1       Examples of 2D frames obtained by photographing a real optical element located on a cylindrical surface

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Figures (7)

Fig. 1
Fig. 1 The arrangement of the light source and observer. Source of computer 3D model: cadnav.com, http://www.cadnav.com/3d-models/model-37178.html
Fig. 2
Fig. 2 Arrangement of the observing points for the frames of the 3D image.
Fig. 3
Fig. 3 Structure of the DOE: (a) partition of the DOE into hogels unfolded onto a plane, (b) structure of a hogel.
Fig. 4
Fig. 4 Computation of the intensity of the diffracted rays of the hogels.
Fig. 5
Fig. 5 Arrangement of vectors k 1 and k 2 .
Fig. 6
Fig. 6 Image produced by the DOE located on a flat base.
Fig. 7
Fig. 7 Examples of 2D frames obtained by photographing a real optical element located on a cylindrical surface (see video Visualization 1).

Equations (1)

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D = k G,1 k G,2 .

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