Abstract

A modification of the double-phase holographic code, based on phase modulation devices, that substantially improves the signal-to-noise ratio in the reconstruction plane without the need to increase the complexity of hologram cells (or macropixels) is proposed.

© 2002 Optical Society of America

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References

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  1. C. K. Hsueh and A. A. Sawchuck, Appl. Opt. 17, 3874 (1978).
    [CrossRef] [PubMed]
  2. J. M. Florence and R. D. Juday, Proc. SPIE 1558, 487 (1991).
    [CrossRef]
  3. D. Mendlovic, G. Shabtay, U. Levi, Z. Zalevsky, and E. Maron, Appl. Opt. 32, 8427 (1997).
    [CrossRef]

1997 (1)

D. Mendlovic, G. Shabtay, U. Levi, Z. Zalevsky, and E. Maron, Appl. Opt. 32, 8427 (1997).
[CrossRef]

1991 (1)

J. M. Florence and R. D. Juday, Proc. SPIE 1558, 487 (1991).
[CrossRef]

1978 (1)

Florence, J. M.

J. M. Florence and R. D. Juday, Proc. SPIE 1558, 487 (1991).
[CrossRef]

Hsueh, C. K.

Juday, R. D.

J. M. Florence and R. D. Juday, Proc. SPIE 1558, 487 (1991).
[CrossRef]

Levi, U.

D. Mendlovic, G. Shabtay, U. Levi, Z. Zalevsky, and E. Maron, Appl. Opt. 32, 8427 (1997).
[CrossRef]

Maron, E.

D. Mendlovic, G. Shabtay, U. Levi, Z. Zalevsky, and E. Maron, Appl. Opt. 32, 8427 (1997).
[CrossRef]

Mendlovic, D.

D. Mendlovic, G. Shabtay, U. Levi, Z. Zalevsky, and E. Maron, Appl. Opt. 32, 8427 (1997).
[CrossRef]

Sawchuck, A. A.

Shabtay, G.

D. Mendlovic, G. Shabtay, U. Levi, Z. Zalevsky, and E. Maron, Appl. Opt. 32, 8427 (1997).
[CrossRef]

Zalevsky, Z.

D. Mendlovic, G. Shabtay, U. Levi, Z. Zalevsky, and E. Maron, Appl. Opt. 32, 8427 (1997).
[CrossRef]

Appl. Opt. (2)

D. Mendlovic, G. Shabtay, U. Levi, Z. Zalevsky, and E. Maron, Appl. Opt. 32, 8427 (1997).
[CrossRef]

C. K. Hsueh and A. A. Sawchuck, Appl. Opt. 17, 3874 (1978).
[CrossRef] [PubMed]

Proc. SPIE (1)

J. M. Florence and R. D. Juday, Proc. SPIE 1558, 487 (1991).
[CrossRef]

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Figures (6)

Fig. 1
Fig. 1

(a) Pixel of a spatially quantized complex modulation and (b) its corresponding double-phase holographic macropixel.

Fig. 2
Fig. 2

Binary object to be synthesized with a DPH.

Fig. 3
Fig. 3

(a) Phase modulation of the conventional DPH encoding the complex filter associated with the pattern in Fig. 2 and (b) DPH power spectrum.

Fig. 4
Fig. 4

(a) Phase modulation of the modified DPH and (b) its improved power spectrum.

Fig. 5
Fig. 5

Binary object with a real Fourier transform to be synthesized with a DPH.

Fig. 6
Fig. 6

Power spectrum of the DPH for generation of the object in Fig. 5, based on (a) the phase shift in Eq. (7) and (b) the phase shift defined in Eqs. (8) and (9).

Equations (9)

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Cu,v=ETu,vn,mcnm exp-i2π2nδxu+mδyv,
Δnm=cos-1cnm.
HSu,v= ESu,vn,m cosΔnmexpiϕnm×exp-i2π2nδxu+mδyv,
HNu,v= ENu,vn,m sinΔnmexpiϕnm×exp-i2π2nδxu+mδyv,
ESu,v=2δxδy sincδxucosπδxusincδyv,
ENu,v=2δxδy sincδxusinπδxusincδyv.
Δnm=-1n+m cos-1cnm,
Δnm=Bnm cos-1cnm,
Bnm=-1n+mBnm,

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