Abstract

A recently proposed planar Fredkin gate array for optical interconnections is extended here into a 3-D array that can be implemented using ferroelectric liquid crystal spatial light modulators. Operating as polarization gates these modulators are efficient and can be incorporated into high performance interconnection networks. Some advantages of the new architecture are discussed and performance characteristics are estimated.

© 1987 Optical Society of America

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References

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  1. J. Shamir, H. J. Caulfield, “High-Efficiency Rapidly Programmable Optical Interconnections,” Appl. Opt. 26, 1032 (1987).
    [CrossRef] [PubMed]
  2. M. M. Mirsalehi, J. Shamir, H. J. Caulfield, “Residue Arithmetic Processing Utilizing Optical Fredkin Gate Arrays,” Appl. Opt.15September '1987, to be published.
    [CrossRef]
  3. A. Korpel, A. W. Lohmann, “Polarization and Optical Instability,” Appl. Opt. 25, 1528 (1986).
    [CrossRef] [PubMed]
  4. A. W. Lohmann, J. Weigelt, “Spatial Filtering Logic Based on Polarization,” Appl. Opt. 26, 131 (1987).
    [CrossRef] [PubMed]
  5. J. Shamir, H. J. Caulfield, W. J. Micelli, R. J. Seymour, “Optical Computing and the Fredkin Gates,” Appl. Opt. 25, 1604 (1986).
    [CrossRef] [PubMed]
  6. L. A. Pagano-Stauffer, K. M. Johnson, H. J. Masterson, N. A. Clark, M. A. Handschy, “Optical Logic Gates Using Ferroelectric Liquid Crystals,” J. Opt. Soc. Am. A 3(13), P105 (1986).

1987 (2)

1986 (3)

L. A. Pagano-Stauffer, K. M. Johnson, H. J. Masterson, N. A. Clark, M. A. Handschy, “Optical Logic Gates Using Ferroelectric Liquid Crystals,” J. Opt. Soc. Am. A 3(13), P105 (1986).

A. Korpel, A. W. Lohmann, “Polarization and Optical Instability,” Appl. Opt. 25, 1528 (1986).
[CrossRef] [PubMed]

J. Shamir, H. J. Caulfield, W. J. Micelli, R. J. Seymour, “Optical Computing and the Fredkin Gates,” Appl. Opt. 25, 1604 (1986).
[CrossRef] [PubMed]

Caulfield, H. J.

Clark, N. A.

L. A. Pagano-Stauffer, K. M. Johnson, H. J. Masterson, N. A. Clark, M. A. Handschy, “Optical Logic Gates Using Ferroelectric Liquid Crystals,” J. Opt. Soc. Am. A 3(13), P105 (1986).

Handschy, M. A.

L. A. Pagano-Stauffer, K. M. Johnson, H. J. Masterson, N. A. Clark, M. A. Handschy, “Optical Logic Gates Using Ferroelectric Liquid Crystals,” J. Opt. Soc. Am. A 3(13), P105 (1986).

Johnson, K. M.

L. A. Pagano-Stauffer, K. M. Johnson, H. J. Masterson, N. A. Clark, M. A. Handschy, “Optical Logic Gates Using Ferroelectric Liquid Crystals,” J. Opt. Soc. Am. A 3(13), P105 (1986).

Korpel, A.

Lohmann, A. W.

Masterson, H. J.

L. A. Pagano-Stauffer, K. M. Johnson, H. J. Masterson, N. A. Clark, M. A. Handschy, “Optical Logic Gates Using Ferroelectric Liquid Crystals,” J. Opt. Soc. Am. A 3(13), P105 (1986).

Micelli, W. J.

Mirsalehi, M. M.

M. M. Mirsalehi, J. Shamir, H. J. Caulfield, “Residue Arithmetic Processing Utilizing Optical Fredkin Gate Arrays,” Appl. Opt.15September '1987, to be published.
[CrossRef]

Pagano-Stauffer, L. A.

L. A. Pagano-Stauffer, K. M. Johnson, H. J. Masterson, N. A. Clark, M. A. Handschy, “Optical Logic Gates Using Ferroelectric Liquid Crystals,” J. Opt. Soc. Am. A 3(13), P105 (1986).

Seymour, R. J.

Shamir, J.

Weigelt, J.

Appl. Opt. (4)

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

L. A. Pagano-Stauffer, K. M. Johnson, H. J. Masterson, N. A. Clark, M. A. Handschy, “Optical Logic Gates Using Ferroelectric Liquid Crystals,” J. Opt. Soc. Am. A 3(13), P105 (1986).

Other (1)

M. M. Mirsalehi, J. Shamir, H. J. Caulfield, “Residue Arithmetic Processing Utilizing Optical Fredkin Gate Arrays,” Appl. Opt.15September '1987, to be published.
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Seven-channel planar interconnection array.

Fig. 2
Fig. 2

(a) Stack of m planar arrays of n horizontal channels each. (b) Stack of n planar arrays of m vertical channels each.

Fig. 3
Fig. 3

Section of the ferroelectric interconnection array: FLC, ferroelectric gate array; W, Wollaston prisms. Polarization of the various channels is indicated.

Equations (4)

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SNR = 1 γ ( n 1 ) γ .
N = m n ( n 1 ) / 2 + n m ( m 1 ) / 2 = m n ( n + m 2 ) / 2
SNR = 1 γ ( n + m 1 ) γ ,
SNR = 0.99 0.01 × ( 4 n 1 ) .

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