Abstract

Normally, to incorporate two binary conventional computer-generated holograms (CGHs) into a single polarization-selective computer-generated hologram (PSCGH), the respective pixels of the conventional CGHs will result in 4 different combinations of the phase values. Thus, the 4 phase combinations have to be realized by 4 types of pixel structures in a PSCGH. In this paper, we propose a method to reduce the PSCGH’ s 4 phase combinations to 3 using an optimization approach. The PSCGH’s first-order diffraction efficiency is 30% and the contrast ratio is 28 after the optimization.

© 2003 Optical Society of America

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References

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Appl. Opt. (3)

Opt. Lett. (2)

Optik (1)

R. W. Gerchberg and W. O. Saxton, �??A practical algorithm for the determination of phase from image and diffraction plane pictures,�?? Optik, 35, 237-246 (1972).

Science (1)

S. Kirkpatrick, C. D. Gellatt, and M. P. Vecchi, �??Optimization by simulated annealing,�?? Science, 220, 671-680 (1983).
[CrossRef] [PubMed]

Other (1)

G. P. Nordin, P. Deguzman, J. Jiang, and J. T. Meier, �??Polarization sensitive diffractive optics for integration with infrared photodetector arrays,�?? in Diffractive Optics and Micro-Optics, OSA Technical Digest (Optical Society of America, Washington DC, 2000), pp. 88-90 (Invited Paper).

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Figures (8)

Fig. 1.
Fig. 1.

The desired reconstructed patterns for the two conventional CGHs, (a) a flat-top beam, (b) a Bessel beam.

Fig. 2.
Fig. 2.

CGHs’ phase distributions, (a) the CGH for the flat-top beam, (b) the CGH for the Bessel beam.

Fig. 3.
Fig. 3.

Reconstructed images by two CGHs, (a) flat-top beams, (b) Bessel beams respectively.

Fig. 4.
Fig. 4.

Reconstructed images of the PSCGH after the combination 4s replaced, (a) reconstructed flat-top beams, (b) reconstructed Bessel beams.

Fig. 5.
Fig. 5.

Flow chart of the second optimization of the PSCGH for (a) TE and (b) TM polarizations.

Fig. 6.
Fig. 6.

Non-uniformities vs. iterations (a) for TE reconstructed flat-top beams and (b) for TM reconstructed Bessel beams respectively.

Fig. 7.
Fig. 7.

Reconstructed images after the second optimization step, (a) reconstructed flat-top beams, (b) reconstructed Bessel beams.

Fig. 8.
Fig. 8.

Phase pattern of the optimized PSCGH, (a) the whole PSCGH, (b) the first 20×20 pixels of the PSCGH.

Tables (1)

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Table 1. Multiplexing two binary CGHs into one PSCGH.

Equations (1)

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Cost te , tm = m , n Int TErec , TMrec ( m , n ) Int TEdes , TMdes ( m , n ) 2 m , n Int TEdes , TMdes ( m , n ) 2

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