Abstract

A polarization-based 4 × 4 optical interconnection network using surface stabilized ferroelectric liquid crystal (SSFLC) gates is demonstrated. The SSFLC gates are comprised of an SSFLC device sandwiched between two polarizing beam splitters. Optical crosstalk using these fast switching programmable devices can be limited to ~−20 dB/gate, which would allow 2-D interconnection networks to be fabricated with thirty-one input channels and 3-D interconnection networks with approximately 225 input channels.

© 1988 Optical Society of America

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  1. J. W. Goodman, F. I. Leonberger, S. Y. Kung, R. A. Athale, “Optical Interconnection for VLSI Systems,” Proc. IEEE 72, 850 (1984).
    [CrossRef]
  2. R. K. Kostuk, J. W. Goodman, L. Hesselink, “Optical Imaging Applied to Microelectronic Chip-to-Chip Interconnections,” Appl. Opt. 24, 2851 (1985).
    [CrossRef] [PubMed]
  3. A. A. Sawchuk, B. K. Jenkins, “Dynamic Optical Interconnections for Parallel Processing,” Proc. Soc. Photo-Opt. Instrum. Eng. 624, 143 (1986).
  4. A. W. Lohmann, “What Classical Optics can do for the Digital Optical Computer,” Appl. Opt. 25, 1543 (1986).
    [CrossRef] [PubMed]
  5. E. Marom, N. Konforti, “Dynamic Optical Interconnects,” Opt. Lett. 12, 539 (1987).
    [CrossRef] [PubMed]
  6. E. Marom, “Integrated Optics Switch Array Network Decomposition,” Opt. Commun. 58, 92 (1986).
    [CrossRef]
  7. J. Shamir, H. J. Caulfield, “High-Efficiency Rapidly Programmable Optical Interconnections,” Appl. Opt. 26, 1032 (1987).
    [CrossRef] [PubMed]
  8. J. Shamir, “Three-dimensional Optical Interconnection Gate Array,” Appl. Opt. 26, 3455 (1987).
    [CrossRef] [PubMed]
  9. J. Shamir, K. M. Johnson, “The Design of Three-Dimensional Optical Interconnection Networks Using Ferroelectric Liquid Crystals,” in Optics and the Information Age, Proceedings, Fourteenth ICO Congress, Quebec (Aug.1987), p. 541.
  10. A. A. Sawchuk, “Three-Dimensional Interconnection Network,” in Optics and the Information Age, Proceedings, Fourteenth ICO Congress, Quebec (Aug.1987), p. 547.
  11. E. Fredkin, T. Toffoli, “Conservative Logic,” Int. J. Theoret. Phys. 21, 219 (1982).
    [CrossRef]
  12. J. Shamir, H. J. Caulfield, W. J. Micelli, R. J. Seymour, “Optical Computing and the Fredkin Gates,” Appl. Opt. 25, 1604 (1986).
    [CrossRef] [PubMed]
  13. K. M. Johnson, M. A. Handschy, L. A. Pagano-Stauffer, “Optical Computing with Ferroelectric Liquid Crystals,” Opt. Eng. 26, 385 (1987).
    [CrossRef]
  14. V. A. Tsvetkov, N. A. Morozov, M. I. Ellison, “Picture Logic and Liquid Crystals,” Sov. J. Quantum Electron. 4, 989 (1975).
    [CrossRef]
  15. R. A. Soref, D. H. McMahon, “Total Switching of Unpolarized Fiber Light with a Four-Port Electro-Optic Liquid-Crystal Device,” Opt. Lett. 5, 147 (1980).
    [CrossRef] [PubMed]
  16. R. E. Wagner, J. Cheng, “Electrically Controlled Optical Switch for Multimode Fiber Applications,” Appl. Opt. 19, 2921 (1980).
    [CrossRef] [PubMed]
  17. S. Somekh, E. Garmire, A. Yariv, H. L. Garvin, R. G. Hunsperger, “Channel Optical Waveguides and Directional Couplers in GaAs—Imbedded and Ridged,” Appl. Opt. 13, 327 (1974).
    [CrossRef] [PubMed]
  18. M. Papuchon et al., “Electrically Switched Optical Directional Couplers: COBRA,” Appl. Phys. Lett. 27, 289 (1975).
    [CrossRef]
  19. S. K. Korotky et al., “Fully Connectorized High-Speed Ti: LiNbO3 Switch/Modulator for Time-Division Multiplexing and Data Encoding,” IEEE/OSA J. Lightwave Technol. LT-3, 1 (1985).
    [CrossRef]
  20. L. McCaughan, G. A. Bogert, “4 × 4 Ti:LiNbO3 Integrated-Optical Crossbar Switch Array,” Appl. Phys. Lett. 47, 348 (1985).
    [CrossRef]
  21. H. Terui, M. Kobayashi, “8 × 8 Optical Waveguide Switch using Liquid Crystals,” Proc. Soc. Photo-Opt. Instrum. Eng. 517, 267 (1984).
  22. N. A. Clark, M. A. Handschy, S. T. Lagerwall, “Ferroelectric Liquid Crystal Electro-Optics using the Surface Stabilized Structure,” Mol. Cryst. Liq. Cryst. 94, 213 (1983).
    [CrossRef]
  23. M. A. Handschy, N. A. Clark, “Structures and Responses of Ferroelectric Liquid Crystals in the Surface-Stabilized Geometry,” Ferroelectrics 59, 69 (1984).
    [CrossRef]
  24. N. A. Clark, S. T. Lagerwall, “Surface-Stabilized Ferroelectric Liquid Crystal Electro-Optics: New Multistate Structures and Devices,” Ferroelectrics 59, 25 (1984).
    [CrossRef]
  25. J. S. Patel, “Electro-Optics of Ferroelectric Liquid Crystals,” Opt. Eng. 26, 129 (1987).
    [CrossRef]
  26. N. A. Clark, S. T. Lagerwall, “Submicrosecond Bistable Electro-Optic Switching in Liquid Crystals,” Appl. Phys. Lett. 36, 899 (1980).
    [CrossRef]
  27. M. A. Handschy, K. M. Johnson, W. T. Cathey, L. A. Pagano-Stauffer, “Polarization-Base Optical Parallel Logic Gate Utilizing Ferroelectric Liquid Crystal,” Opt. Lett. 12, 611 (1987).
    [CrossRef] [PubMed]
  28. Chisso Corp., Fine Chemicals Division, 2 Kamariya, Kanazawa-ku, 35. Yokohama 236, Japan.
  29. M. A. Handschy, K. M. Johnson, G. Moddel, L. A. Pagano-Stauffer, “Electro-Optic Applications of Ferroelectric Liquid Crystals to Optical Computing,” to appear in Ferroelectrics (1988).
    [CrossRef]
  30. E. Kuester, D. C. Chang, F. Quazi, “Line Parameters of Coplanar Strips used as Electro-Optic Modulator Electrodes,” Report 84, U. Colorado (1986).
  31. G. Anderson et al., “Submicrosecond Switching in the Liquid-Crystal Smectic A Phase: the Soft-Mode Ferroelectric Effect,” Appl. Phys. Lett. 51, 31 (1987).
    [CrossRef]
  32. J. W. Goodman, A. R. Dias, L. M. Woody, “Fully Parallel, High-Speed Incoherent Optical Method for Performing Discrete Transforms,” Opt. Lett. 2, 1 (1978).
    [CrossRef] [PubMed]
  33. A. R. Dias, “Incoherent Optical Matrix-Vector Multiplier for Highspeed Data Processing,” Ph.D. Dissertation, Stanford U. (1980).
  34. J. W. Goodman, K. M. Johnson, “Incoherent Matrix-Vector Multiplier: Final Report L701-1” (June1981); “A Phase: the Soft-Mode Ferroelectric Effect,” Appl. Phys. Lett. 51, 31 (1987).
  35. K. M. Johnson, G. Moddel, S. Anderson, “Optical Logic Gates Using Ferroelectric Liquid Crystals,” J. Opt. Soc. Am. A 4(13), P42 (1987).

1987

E. Marom, N. Konforti, “Dynamic Optical Interconnects,” Opt. Lett. 12, 539 (1987).
[CrossRef] [PubMed]

J. Shamir, H. J. Caulfield, “High-Efficiency Rapidly Programmable Optical Interconnections,” Appl. Opt. 26, 1032 (1987).
[CrossRef] [PubMed]

J. Shamir, “Three-dimensional Optical Interconnection Gate Array,” Appl. Opt. 26, 3455 (1987).
[CrossRef] [PubMed]

K. M. Johnson, M. A. Handschy, L. A. Pagano-Stauffer, “Optical Computing with Ferroelectric Liquid Crystals,” Opt. Eng. 26, 385 (1987).
[CrossRef]

J. S. Patel, “Electro-Optics of Ferroelectric Liquid Crystals,” Opt. Eng. 26, 129 (1987).
[CrossRef]

M. A. Handschy, K. M. Johnson, W. T. Cathey, L. A. Pagano-Stauffer, “Polarization-Base Optical Parallel Logic Gate Utilizing Ferroelectric Liquid Crystal,” Opt. Lett. 12, 611 (1987).
[CrossRef] [PubMed]

G. Anderson et al., “Submicrosecond Switching in the Liquid-Crystal Smectic A Phase: the Soft-Mode Ferroelectric Effect,” Appl. Phys. Lett. 51, 31 (1987).
[CrossRef]

K. M. Johnson, G. Moddel, S. Anderson, “Optical Logic Gates Using Ferroelectric Liquid Crystals,” J. Opt. Soc. Am. A 4(13), P42 (1987).

1986

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

E. Marom, “Integrated Optics Switch Array Network Decomposition,” Opt. Commun. 58, 92 (1986).
[CrossRef]

A. A. Sawchuk, B. K. Jenkins, “Dynamic Optical Interconnections for Parallel Processing,” Proc. Soc. Photo-Opt. Instrum. Eng. 624, 143 (1986).

A. W. Lohmann, “What Classical Optics can do for the Digital Optical Computer,” Appl. Opt. 25, 1543 (1986).
[CrossRef] [PubMed]

1985

R. K. Kostuk, J. W. Goodman, L. Hesselink, “Optical Imaging Applied to Microelectronic Chip-to-Chip Interconnections,” Appl. Opt. 24, 2851 (1985).
[CrossRef] [PubMed]

S. K. Korotky et al., “Fully Connectorized High-Speed Ti: LiNbO3 Switch/Modulator for Time-Division Multiplexing and Data Encoding,” IEEE/OSA J. Lightwave Technol. LT-3, 1 (1985).
[CrossRef]

L. McCaughan, G. A. Bogert, “4 × 4 Ti:LiNbO3 Integrated-Optical Crossbar Switch Array,” Appl. Phys. Lett. 47, 348 (1985).
[CrossRef]

1984

H. Terui, M. Kobayashi, “8 × 8 Optical Waveguide Switch using Liquid Crystals,” Proc. Soc. Photo-Opt. Instrum. Eng. 517, 267 (1984).

J. W. Goodman, F. I. Leonberger, S. Y. Kung, R. A. Athale, “Optical Interconnection for VLSI Systems,” Proc. IEEE 72, 850 (1984).
[CrossRef]

M. A. Handschy, N. A. Clark, “Structures and Responses of Ferroelectric Liquid Crystals in the Surface-Stabilized Geometry,” Ferroelectrics 59, 69 (1984).
[CrossRef]

N. A. Clark, S. T. Lagerwall, “Surface-Stabilized Ferroelectric Liquid Crystal Electro-Optics: New Multistate Structures and Devices,” Ferroelectrics 59, 25 (1984).
[CrossRef]

1983

N. A. Clark, M. A. Handschy, S. T. Lagerwall, “Ferroelectric Liquid Crystal Electro-Optics using the Surface Stabilized Structure,” Mol. Cryst. Liq. Cryst. 94, 213 (1983).
[CrossRef]

1982

E. Fredkin, T. Toffoli, “Conservative Logic,” Int. J. Theoret. Phys. 21, 219 (1982).
[CrossRef]

1980

1978

1975

M. Papuchon et al., “Electrically Switched Optical Directional Couplers: COBRA,” Appl. Phys. Lett. 27, 289 (1975).
[CrossRef]

V. A. Tsvetkov, N. A. Morozov, M. I. Ellison, “Picture Logic and Liquid Crystals,” Sov. J. Quantum Electron. 4, 989 (1975).
[CrossRef]

1974

Anderson, G.

G. Anderson et al., “Submicrosecond Switching in the Liquid-Crystal Smectic A Phase: the Soft-Mode Ferroelectric Effect,” Appl. Phys. Lett. 51, 31 (1987).
[CrossRef]

Anderson, S.

K. M. Johnson, G. Moddel, S. Anderson, “Optical Logic Gates Using Ferroelectric Liquid Crystals,” J. Opt. Soc. Am. A 4(13), P42 (1987).

Athale, R. A.

J. W. Goodman, F. I. Leonberger, S. Y. Kung, R. A. Athale, “Optical Interconnection for VLSI Systems,” Proc. IEEE 72, 850 (1984).
[CrossRef]

Bogert, G. A.

L. McCaughan, G. A. Bogert, “4 × 4 Ti:LiNbO3 Integrated-Optical Crossbar Switch Array,” Appl. Phys. Lett. 47, 348 (1985).
[CrossRef]

Cathey, W. T.

Caulfield, H. J.

Chang, D. C.

E. Kuester, D. C. Chang, F. Quazi, “Line Parameters of Coplanar Strips used as Electro-Optic Modulator Electrodes,” Report 84, U. Colorado (1986).

Cheng, J.

Clark, N. A.

M. A. Handschy, N. A. Clark, “Structures and Responses of Ferroelectric Liquid Crystals in the Surface-Stabilized Geometry,” Ferroelectrics 59, 69 (1984).
[CrossRef]

N. A. Clark, S. T. Lagerwall, “Surface-Stabilized Ferroelectric Liquid Crystal Electro-Optics: New Multistate Structures and Devices,” Ferroelectrics 59, 25 (1984).
[CrossRef]

N. A. Clark, M. A. Handschy, S. T. Lagerwall, “Ferroelectric Liquid Crystal Electro-Optics using the Surface Stabilized Structure,” Mol. Cryst. Liq. Cryst. 94, 213 (1983).
[CrossRef]

N. A. Clark, S. T. Lagerwall, “Submicrosecond Bistable Electro-Optic Switching in Liquid Crystals,” Appl. Phys. Lett. 36, 899 (1980).
[CrossRef]

Dias, A. R.

J. W. Goodman, A. R. Dias, L. M. Woody, “Fully Parallel, High-Speed Incoherent Optical Method for Performing Discrete Transforms,” Opt. Lett. 2, 1 (1978).
[CrossRef] [PubMed]

A. R. Dias, “Incoherent Optical Matrix-Vector Multiplier for Highspeed Data Processing,” Ph.D. Dissertation, Stanford U. (1980).

Ellison, M. I.

V. A. Tsvetkov, N. A. Morozov, M. I. Ellison, “Picture Logic and Liquid Crystals,” Sov. J. Quantum Electron. 4, 989 (1975).
[CrossRef]

Fredkin, E.

E. Fredkin, T. Toffoli, “Conservative Logic,” Int. J. Theoret. Phys. 21, 219 (1982).
[CrossRef]

Garmire, E.

Garvin, H. L.

Goodman, J. W.

R. K. Kostuk, J. W. Goodman, L. Hesselink, “Optical Imaging Applied to Microelectronic Chip-to-Chip Interconnections,” Appl. Opt. 24, 2851 (1985).
[CrossRef] [PubMed]

J. W. Goodman, F. I. Leonberger, S. Y. Kung, R. A. Athale, “Optical Interconnection for VLSI Systems,” Proc. IEEE 72, 850 (1984).
[CrossRef]

J. W. Goodman, A. R. Dias, L. M. Woody, “Fully Parallel, High-Speed Incoherent Optical Method for Performing Discrete Transforms,” Opt. Lett. 2, 1 (1978).
[CrossRef] [PubMed]

J. W. Goodman, K. M. Johnson, “Incoherent Matrix-Vector Multiplier: Final Report L701-1” (June1981); “A Phase: the Soft-Mode Ferroelectric Effect,” Appl. Phys. Lett. 51, 31 (1987).

Handschy, M. A.

M. A. Handschy, K. M. Johnson, W. T. Cathey, L. A. Pagano-Stauffer, “Polarization-Base Optical Parallel Logic Gate Utilizing Ferroelectric Liquid Crystal,” Opt. Lett. 12, 611 (1987).
[CrossRef] [PubMed]

K. M. Johnson, M. A. Handschy, L. A. Pagano-Stauffer, “Optical Computing with Ferroelectric Liquid Crystals,” Opt. Eng. 26, 385 (1987).
[CrossRef]

M. A. Handschy, N. A. Clark, “Structures and Responses of Ferroelectric Liquid Crystals in the Surface-Stabilized Geometry,” Ferroelectrics 59, 69 (1984).
[CrossRef]

N. A. Clark, M. A. Handschy, S. T. Lagerwall, “Ferroelectric Liquid Crystal Electro-Optics using the Surface Stabilized Structure,” Mol. Cryst. Liq. Cryst. 94, 213 (1983).
[CrossRef]

M. A. Handschy, K. M. Johnson, G. Moddel, L. A. Pagano-Stauffer, “Electro-Optic Applications of Ferroelectric Liquid Crystals to Optical Computing,” to appear in Ferroelectrics (1988).
[CrossRef]

Hesselink, L.

Hunsperger, R. G.

Jenkins, B. K.

A. A. Sawchuk, B. K. Jenkins, “Dynamic Optical Interconnections for Parallel Processing,” Proc. Soc. Photo-Opt. Instrum. Eng. 624, 143 (1986).

Johnson, K. M.

K. M. Johnson, M. A. Handschy, L. A. Pagano-Stauffer, “Optical Computing with Ferroelectric Liquid Crystals,” Opt. Eng. 26, 385 (1987).
[CrossRef]

M. A. Handschy, K. M. Johnson, W. T. Cathey, L. A. Pagano-Stauffer, “Polarization-Base Optical Parallel Logic Gate Utilizing Ferroelectric Liquid Crystal,” Opt. Lett. 12, 611 (1987).
[CrossRef] [PubMed]

K. M. Johnson, G. Moddel, S. Anderson, “Optical Logic Gates Using Ferroelectric Liquid Crystals,” J. Opt. Soc. Am. A 4(13), P42 (1987).

M. A. Handschy, K. M. Johnson, G. Moddel, L. A. Pagano-Stauffer, “Electro-Optic Applications of Ferroelectric Liquid Crystals to Optical Computing,” to appear in Ferroelectrics (1988).
[CrossRef]

J. W. Goodman, K. M. Johnson, “Incoherent Matrix-Vector Multiplier: Final Report L701-1” (June1981); “A Phase: the Soft-Mode Ferroelectric Effect,” Appl. Phys. Lett. 51, 31 (1987).

J. Shamir, K. M. Johnson, “The Design of Three-Dimensional Optical Interconnection Networks Using Ferroelectric Liquid Crystals,” in Optics and the Information Age, Proceedings, Fourteenth ICO Congress, Quebec (Aug.1987), p. 541.

Kobayashi, M.

H. Terui, M. Kobayashi, “8 × 8 Optical Waveguide Switch using Liquid Crystals,” Proc. Soc. Photo-Opt. Instrum. Eng. 517, 267 (1984).

Konforti, N.

Korotky, S. K.

S. K. Korotky et al., “Fully Connectorized High-Speed Ti: LiNbO3 Switch/Modulator for Time-Division Multiplexing and Data Encoding,” IEEE/OSA J. Lightwave Technol. LT-3, 1 (1985).
[CrossRef]

Kostuk, R. K.

Kuester, E.

E. Kuester, D. C. Chang, F. Quazi, “Line Parameters of Coplanar Strips used as Electro-Optic Modulator Electrodes,” Report 84, U. Colorado (1986).

Kung, S. Y.

J. W. Goodman, F. I. Leonberger, S. Y. Kung, R. A. Athale, “Optical Interconnection for VLSI Systems,” Proc. IEEE 72, 850 (1984).
[CrossRef]

Lagerwall, S. T.

N. A. Clark, S. T. Lagerwall, “Surface-Stabilized Ferroelectric Liquid Crystal Electro-Optics: New Multistate Structures and Devices,” Ferroelectrics 59, 25 (1984).
[CrossRef]

N. A. Clark, M. A. Handschy, S. T. Lagerwall, “Ferroelectric Liquid Crystal Electro-Optics using the Surface Stabilized Structure,” Mol. Cryst. Liq. Cryst. 94, 213 (1983).
[CrossRef]

N. A. Clark, S. T. Lagerwall, “Submicrosecond Bistable Electro-Optic Switching in Liquid Crystals,” Appl. Phys. Lett. 36, 899 (1980).
[CrossRef]

Leonberger, F. I.

J. W. Goodman, F. I. Leonberger, S. Y. Kung, R. A. Athale, “Optical Interconnection for VLSI Systems,” Proc. IEEE 72, 850 (1984).
[CrossRef]

Lohmann, A. W.

Marom, E.

E. Marom, N. Konforti, “Dynamic Optical Interconnects,” Opt. Lett. 12, 539 (1987).
[CrossRef] [PubMed]

E. Marom, “Integrated Optics Switch Array Network Decomposition,” Opt. Commun. 58, 92 (1986).
[CrossRef]

McCaughan, L.

L. McCaughan, G. A. Bogert, “4 × 4 Ti:LiNbO3 Integrated-Optical Crossbar Switch Array,” Appl. Phys. Lett. 47, 348 (1985).
[CrossRef]

McMahon, D. H.

Micelli, W. J.

Moddel, G.

K. M. Johnson, G. Moddel, S. Anderson, “Optical Logic Gates Using Ferroelectric Liquid Crystals,” J. Opt. Soc. Am. A 4(13), P42 (1987).

M. A. Handschy, K. M. Johnson, G. Moddel, L. A. Pagano-Stauffer, “Electro-Optic Applications of Ferroelectric Liquid Crystals to Optical Computing,” to appear in Ferroelectrics (1988).
[CrossRef]

Morozov, N. A.

V. A. Tsvetkov, N. A. Morozov, M. I. Ellison, “Picture Logic and Liquid Crystals,” Sov. J. Quantum Electron. 4, 989 (1975).
[CrossRef]

Pagano-Stauffer, L. A.

K. M. Johnson, M. A. Handschy, L. A. Pagano-Stauffer, “Optical Computing with Ferroelectric Liquid Crystals,” Opt. Eng. 26, 385 (1987).
[CrossRef]

M. A. Handschy, K. M. Johnson, W. T. Cathey, L. A. Pagano-Stauffer, “Polarization-Base Optical Parallel Logic Gate Utilizing Ferroelectric Liquid Crystal,” Opt. Lett. 12, 611 (1987).
[CrossRef] [PubMed]

M. A. Handschy, K. M. Johnson, G. Moddel, L. A. Pagano-Stauffer, “Electro-Optic Applications of Ferroelectric Liquid Crystals to Optical Computing,” to appear in Ferroelectrics (1988).
[CrossRef]

Papuchon, M.

M. Papuchon et al., “Electrically Switched Optical Directional Couplers: COBRA,” Appl. Phys. Lett. 27, 289 (1975).
[CrossRef]

Patel, J. S.

J. S. Patel, “Electro-Optics of Ferroelectric Liquid Crystals,” Opt. Eng. 26, 129 (1987).
[CrossRef]

Quazi, F.

E. Kuester, D. C. Chang, F. Quazi, “Line Parameters of Coplanar Strips used as Electro-Optic Modulator Electrodes,” Report 84, U. Colorado (1986).

Sawchuk, A. A.

A. A. Sawchuk, B. K. Jenkins, “Dynamic Optical Interconnections for Parallel Processing,” Proc. Soc. Photo-Opt. Instrum. Eng. 624, 143 (1986).

A. A. Sawchuk, “Three-Dimensional Interconnection Network,” in Optics and the Information Age, Proceedings, Fourteenth ICO Congress, Quebec (Aug.1987), p. 547.

Seymour, R. J.

Shamir, J.

Somekh, S.

Soref, R. A.

Terui, H.

H. Terui, M. Kobayashi, “8 × 8 Optical Waveguide Switch using Liquid Crystals,” Proc. Soc. Photo-Opt. Instrum. Eng. 517, 267 (1984).

Toffoli, T.

E. Fredkin, T. Toffoli, “Conservative Logic,” Int. J. Theoret. Phys. 21, 219 (1982).
[CrossRef]

Tsvetkov, V. A.

V. A. Tsvetkov, N. A. Morozov, M. I. Ellison, “Picture Logic and Liquid Crystals,” Sov. J. Quantum Electron. 4, 989 (1975).
[CrossRef]

Wagner, R. E.

Woody, L. M.

Yariv, A.

Appl. Opt.

Appl. Phys. Lett.

M. Papuchon et al., “Electrically Switched Optical Directional Couplers: COBRA,” Appl. Phys. Lett. 27, 289 (1975).
[CrossRef]

L. McCaughan, G. A. Bogert, “4 × 4 Ti:LiNbO3 Integrated-Optical Crossbar Switch Array,” Appl. Phys. Lett. 47, 348 (1985).
[CrossRef]

N. A. Clark, S. T. Lagerwall, “Submicrosecond Bistable Electro-Optic Switching in Liquid Crystals,” Appl. Phys. Lett. 36, 899 (1980).
[CrossRef]

G. Anderson et al., “Submicrosecond Switching in the Liquid-Crystal Smectic A Phase: the Soft-Mode Ferroelectric Effect,” Appl. Phys. Lett. 51, 31 (1987).
[CrossRef]

Ferroelectrics

M. A. Handschy, N. A. Clark, “Structures and Responses of Ferroelectric Liquid Crystals in the Surface-Stabilized Geometry,” Ferroelectrics 59, 69 (1984).
[CrossRef]

N. A. Clark, S. T. Lagerwall, “Surface-Stabilized Ferroelectric Liquid Crystal Electro-Optics: New Multistate Structures and Devices,” Ferroelectrics 59, 25 (1984).
[CrossRef]

IEEE/OSA J. Lightwave Technol.

S. K. Korotky et al., “Fully Connectorized High-Speed Ti: LiNbO3 Switch/Modulator for Time-Division Multiplexing and Data Encoding,” IEEE/OSA J. Lightwave Technol. LT-3, 1 (1985).
[CrossRef]

Int. J. Theoret. Phys.

E. Fredkin, T. Toffoli, “Conservative Logic,” Int. J. Theoret. Phys. 21, 219 (1982).
[CrossRef]

J. Opt. Soc. Am. A

K. M. Johnson, G. Moddel, S. Anderson, “Optical Logic Gates Using Ferroelectric Liquid Crystals,” J. Opt. Soc. Am. A 4(13), P42 (1987).

Mol. Cryst. Liq. Cryst.

N. A. Clark, M. A. Handschy, S. T. Lagerwall, “Ferroelectric Liquid Crystal Electro-Optics using the Surface Stabilized Structure,” Mol. Cryst. Liq. Cryst. 94, 213 (1983).
[CrossRef]

Opt. Commun.

E. Marom, “Integrated Optics Switch Array Network Decomposition,” Opt. Commun. 58, 92 (1986).
[CrossRef]

Opt. Eng.

K. M. Johnson, M. A. Handschy, L. A. Pagano-Stauffer, “Optical Computing with Ferroelectric Liquid Crystals,” Opt. Eng. 26, 385 (1987).
[CrossRef]

J. S. Patel, “Electro-Optics of Ferroelectric Liquid Crystals,” Opt. Eng. 26, 129 (1987).
[CrossRef]

Opt. Lett.

Proc. IEEE

J. W. Goodman, F. I. Leonberger, S. Y. Kung, R. A. Athale, “Optical Interconnection for VLSI Systems,” Proc. IEEE 72, 850 (1984).
[CrossRef]

Proc. Soc. Photo-Opt. Instrum. Eng.

A. A. Sawchuk, B. K. Jenkins, “Dynamic Optical Interconnections for Parallel Processing,” Proc. Soc. Photo-Opt. Instrum. Eng. 624, 143 (1986).

H. Terui, M. Kobayashi, “8 × 8 Optical Waveguide Switch using Liquid Crystals,” Proc. Soc. Photo-Opt. Instrum. Eng. 517, 267 (1984).

Sov. J. Quantum Electron.

V. A. Tsvetkov, N. A. Morozov, M. I. Ellison, “Picture Logic and Liquid Crystals,” Sov. J. Quantum Electron. 4, 989 (1975).
[CrossRef]

Other

J. Shamir, K. M. Johnson, “The Design of Three-Dimensional Optical Interconnection Networks Using Ferroelectric Liquid Crystals,” in Optics and the Information Age, Proceedings, Fourteenth ICO Congress, Quebec (Aug.1987), p. 541.

A. A. Sawchuk, “Three-Dimensional Interconnection Network,” in Optics and the Information Age, Proceedings, Fourteenth ICO Congress, Quebec (Aug.1987), p. 547.

Chisso Corp., Fine Chemicals Division, 2 Kamariya, Kanazawa-ku, 35. Yokohama 236, Japan.

M. A. Handschy, K. M. Johnson, G. Moddel, L. A. Pagano-Stauffer, “Electro-Optic Applications of Ferroelectric Liquid Crystals to Optical Computing,” to appear in Ferroelectrics (1988).
[CrossRef]

E. Kuester, D. C. Chang, F. Quazi, “Line Parameters of Coplanar Strips used as Electro-Optic Modulator Electrodes,” Report 84, U. Colorado (1986).

A. R. Dias, “Incoherent Optical Matrix-Vector Multiplier for Highspeed Data Processing,” Ph.D. Dissertation, Stanford U. (1980).

J. W. Goodman, K. M. Johnson, “Incoherent Matrix-Vector Multiplier: Final Report L701-1” (June1981); “A Phase: the Soft-Mode Ferroelectric Effect,” Appl. Phys. Lett. 51, 31 (1987).

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Figures (5)

Fig. 1
Fig. 1

Optical SSFLC gate.

Fig. 2
Fig. 2

Optical logic diagram.

Fig. 3
Fig. 3

Experimental arrangement.

Fig. 4
Fig. 4

(a) Output with C = −15 V applied to each SSFLC gate. The input is permuted from (1,1,1,0) to (0,1,1,1). (b) The output with C = +15 V applied to each SSFLC gate. The output is equal to the input vector (1,1,1,0).

Fig. 5
Fig. 5

Experimental arrangement. The output of the network is obtained at the screen.

Tables (2)

Tables Icon

Table I Normalized Intensity Measurements of Output Channels

Tables Icon

Table II FLC Device Measurements

Equations (7)

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G = n ( n 1 ) 2 .
T = sin 2 ( 4 ψ ) sin 2 ( π Δ n d λ ) .
= 1 sin 2 ( 4 ψ ) sin 2 ( π Δ n d λ ) ,
A ( n ) = [ 1 ( n 1 ) ] ,
B ( n ) < ( n 1 ) .
SNR = A ( n ) B ( n ) = 1 ( n 1 ) ( n 1 ) .
SNR = 1 ( n + m 1 ) ( n + m 1 ) ,

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