Abstract

Interferometric devices have drawn a great interest in all-optical signal processing for their high-speed photonic activity. The nonlinear optical loop mirror provides a major support to optical switching based all-optical logic and algebraic operations. The gate based on the terahertz optical asymmetric demultiplexer (TOAD) has added new momentum in this field. Optical tree architecture (OTA) plays a significant role in the optical interconnecting network. We have tried to exploit the advantages of both OTA- and TOAD-based switches. We have proposed a TOAD-based tree architecture, a new and alternative scheme, for integrated all-optical logic and arithmetic operations.

© 2007 Optical Society of America

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    [CrossRef]
  2. M. A. Karim and A. A. S. Awal, Optical Computing: An Introduction (Wiley, 2003).
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    [CrossRef] [PubMed]
  4. J. N. Roy and S. Mukhopadhyay, "A minimization scheme of optical space variant logic operation in a combinational architecture," Opt. Commun. 119, 499-504 (1995).
    [CrossRef]
  5. S. D. Smith, I. Janossy, H. A. Mackenzie, J. G. E. Reid, M. R. Taghizadeh, F. A. P. Tooley, and A. C. Walker, "Nonlinear optical circuits, logic gates for optical computers: the first digital optical circuits," Opt. Eng. 24, 569-573 (1985).
  6. H. J. Caulfield, W. T. Rhodes, M. J. Foster, and S. Horvitz, "Optical implementation of systolic array processing," Opt. Commun. 40, 86-92 (1981).
    [CrossRef]
  7. M. S. Alam, "Parallel optical computing using recorded trinary signed-digit numbers," Appl. Opt. 33, 4392-4397 (1994).
    [CrossRef] [PubMed]
  8. T. Yatagai, "Optical space variant logic gate array based on spatial encoding technique," Opt. Lett. 11, 260-262 (1986).
    [CrossRef] [PubMed]
  9. K. W. Wang and L. M. Cheng, "Space variant optical logic operations based on operation dependent encoding method," Appl. Opt. 33, 2134-2138 (1994).
    [CrossRef]
  10. M. A. Karim, A. A. S. Awwal, and A. K. Cheri, "Polarization encoded optical shadow casting logic unit," Appl. Opt. 26, 2720-2726 (1987).
    [CrossRef] [PubMed]
  11. A. W. Lohmann, "Polarization and optical logic," Appl. Opt. 25, 1594-1599 (1986).
    [CrossRef] [PubMed]
  12. J. Weight, "Binary logic by spatial filtering," Opt. Eng. 26, 28-33 (1987).
  13. Z. Zhang and L. Liu, "Optical programmable triple-in binary logic gate," Appl. Opt. 31, 6200-6206 (1992).
    [CrossRef] [PubMed]
  14. N. Pahari, D. N. Das, and S. Mukhopadhyay, "All-optical method for addition of binary data by nonlinear materials," Appl. Opt. 43, 6147-6150 (2004).
    [CrossRef] [PubMed]
  15. I. Glesk, R. J. Runser, and P. R. Prucnal, "New generation of devices for all-optical communication," Acta Phys. Slov. 51, 151-162 (2001).
  16. N. J. Doran and D. Wood, "Nonlinear loop mirror," Opt. Lett. 13, 56-58 (1988).
    [CrossRef] [PubMed]
  17. T. Yamamoto, E. Yoshida, and M. Nakazawa, "Ultra fast nonlinear optical loop mirror for demultiplexing 640Gbit/s TDM signals," Electron. Lett. 34, 1013-1014 (1998).
    [CrossRef]
  18. A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, "All-optical binary half-adder," Opt. Commun. 168, 89-93 (1999).
    [CrossRef]
  19. A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, "All-optical full-adder with bit differential delay," Opt. Commun. 156, 22-26 (1998).
    [CrossRef]
  20. A. J. Poustie, R. J. Manning, and A. E. Kelly, "All-optical binary counter," Opt. Express 6, 69-74 (2000).
    [CrossRef] [PubMed]
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    [CrossRef]
  22. C. Bintjas, M. Kalyvas, G. Theophilopoulos, T. Stathopoulos, H. Avramopoulos, L. Occhi, L. Schares, G. Guekos, S. Hansmann, and R. Dall'Ara, "20 Gb/s all-optical XOR with UNI gate," IEEE Photon. Technol. Lett. 12, 834-836 (2000).
    [CrossRef]
  23. G. P. Agrawal, Applications of Nonlinear Fiber Optics (Academic, 2001), Chap. 3.
  24. V. W. S. Chan, K. L. Hall, E. Modiano, and K. A. Rauschenbach, "Architectures and technologies for high-speed optical data networks," J. Lightwave Technol. 16, 2146-2168 (1998).
    [CrossRef]
  25. J. P. Sokoloff, P. R. Prucnal, I. Glesk, and M. Kane, "A terahertz optical asymmetric demultiplexer (TOAD)," IEEE Photon. Technol. Lett. 5, 787-789 (1993).
    [CrossRef]
  26. S. Mukhopadhyay, "An optical conversion system: from binary to decimal and decimal to binary," Opt. Commun. 76, 309-312 (1990).
    [CrossRef]
  27. S. Mukhopadhyay, "Optical implementation of knowledge based expression in data form," Opt. Eng. 31, 1284-1286 (1992).
    [CrossRef]
  28. J. N. Roy, A. K. Maiti, and S. Mukhopadhyay, "Designing of an all-optical time division multiplexing scheme with the help of nonlinear material based tree-net architecture," Chin. Opt. Lett. 4, 483-486 (2006).

2006 (1)

2005 (1)

2004 (1)

2003 (1)

M. A. Karim and A. A. S. Awal, Optical Computing: An Introduction (Wiley, 2003).

2001 (2)

I. Glesk, R. J. Runser, and P. R. Prucnal, "New generation of devices for all-optical communication," Acta Phys. Slov. 51, 151-162 (2001).

G. P. Agrawal, Applications of Nonlinear Fiber Optics (Academic, 2001), Chap. 3.

2000 (2)

C. Bintjas, M. Kalyvas, G. Theophilopoulos, T. Stathopoulos, H. Avramopoulos, L. Occhi, L. Schares, G. Guekos, S. Hansmann, and R. Dall'Ara, "20 Gb/s all-optical XOR with UNI gate," IEEE Photon. Technol. Lett. 12, 834-836 (2000).
[CrossRef]

A. J. Poustie, R. J. Manning, and A. E. Kelly, "All-optical binary counter," Opt. Express 6, 69-74 (2000).
[CrossRef] [PubMed]

1999 (1)

A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, "All-optical binary half-adder," Opt. Commun. 168, 89-93 (1999).
[CrossRef]

1998 (3)

A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, "All-optical full-adder with bit differential delay," Opt. Commun. 156, 22-26 (1998).
[CrossRef]

T. Yamamoto, E. Yoshida, and M. Nakazawa, "Ultra fast nonlinear optical loop mirror for demultiplexing 640Gbit/s TDM signals," Electron. Lett. 34, 1013-1014 (1998).
[CrossRef]

V. W. S. Chan, K. L. Hall, E. Modiano, and K. A. Rauschenbach, "Architectures and technologies for high-speed optical data networks," J. Lightwave Technol. 16, 2146-2168 (1998).
[CrossRef]

1995 (1)

J. N. Roy and S. Mukhopadhyay, "A minimization scheme of optical space variant logic operation in a combinational architecture," Opt. Commun. 119, 499-504 (1995).
[CrossRef]

1994 (2)

1993 (1)

J. P. Sokoloff, P. R. Prucnal, I. Glesk, and M. Kane, "A terahertz optical asymmetric demultiplexer (TOAD)," IEEE Photon. Technol. Lett. 5, 787-789 (1993).
[CrossRef]

1992 (2)

S. Mukhopadhyay, "Optical implementation of knowledge based expression in data form," Opt. Eng. 31, 1284-1286 (1992).
[CrossRef]

Z. Zhang and L. Liu, "Optical programmable triple-in binary logic gate," Appl. Opt. 31, 6200-6206 (1992).
[CrossRef] [PubMed]

1991 (1)

1990 (1)

S. Mukhopadhyay, "An optical conversion system: from binary to decimal and decimal to binary," Opt. Commun. 76, 309-312 (1990).
[CrossRef]

1988 (1)

1987 (2)

1986 (2)

1985 (1)

S. D. Smith, I. Janossy, H. A. Mackenzie, J. G. E. Reid, M. R. Taghizadeh, F. A. P. Tooley, and A. C. Walker, "Nonlinear optical circuits, logic gates for optical computers: the first digital optical circuits," Opt. Eng. 24, 569-573 (1985).

1983 (1)

J. Tanida and Y. Ichioka, "Optical logic array processor using shadowgrams," J. Opt. Soc. Am. A 73, 800-808 (1983).
[CrossRef]

1981 (1)

H. J. Caulfield, W. T. Rhodes, M. J. Foster, and S. Horvitz, "Optical implementation of systolic array processing," Opt. Commun. 40, 86-92 (1981).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Applications of Nonlinear Fiber Optics (Academic, 2001), Chap. 3.

Alam, M. S.

Avramopoulos, H.

C. Bintjas, M. Kalyvas, G. Theophilopoulos, T. Stathopoulos, H. Avramopoulos, L. Occhi, L. Schares, G. Guekos, S. Hansmann, and R. Dall'Ara, "20 Gb/s all-optical XOR with UNI gate," IEEE Photon. Technol. Lett. 12, 834-836 (2000).
[CrossRef]

Awal, A. A. S.

M. A. Karim and A. A. S. Awal, Optical Computing: An Introduction (Wiley, 2003).

Awwal, A. A. S.

Bintjas, C.

C. Bintjas, M. Kalyvas, G. Theophilopoulos, T. Stathopoulos, H. Avramopoulos, L. Occhi, L. Schares, G. Guekos, S. Hansmann, and R. Dall'Ara, "20 Gb/s all-optical XOR with UNI gate," IEEE Photon. Technol. Lett. 12, 834-836 (2000).
[CrossRef]

Blow, K. J.

A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, "All-optical binary half-adder," Opt. Commun. 168, 89-93 (1999).
[CrossRef]

A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, "All-optical full-adder with bit differential delay," Opt. Commun. 156, 22-26 (1998).
[CrossRef]

Caulfield, H. J.

H. J. Caulfield, W. T. Rhodes, M. J. Foster, and S. Horvitz, "Optical implementation of systolic array processing," Opt. Commun. 40, 86-92 (1981).
[CrossRef]

Chan, V. W. S.

Chen, Z.

Cheng, L. M.

Cheri, A. K.

Dall'Ara, R.

C. Bintjas, M. Kalyvas, G. Theophilopoulos, T. Stathopoulos, H. Avramopoulos, L. Occhi, L. Schares, G. Guekos, S. Hansmann, and R. Dall'Ara, "20 Gb/s all-optical XOR with UNI gate," IEEE Photon. Technol. Lett. 12, 834-836 (2000).
[CrossRef]

Das, D. N.

Doran, N. J.

Foster, M. J.

H. J. Caulfield, W. T. Rhodes, M. J. Foster, and S. Horvitz, "Optical implementation of systolic array processing," Opt. Commun. 40, 86-92 (1981).
[CrossRef]

Glesk, I.

I. Glesk, R. J. Runser, and P. R. Prucnal, "New generation of devices for all-optical communication," Acta Phys. Slov. 51, 151-162 (2001).

J. P. Sokoloff, P. R. Prucnal, I. Glesk, and M. Kane, "A terahertz optical asymmetric demultiplexer (TOAD)," IEEE Photon. Technol. Lett. 5, 787-789 (1993).
[CrossRef]

Guekos, G.

C. Bintjas, M. Kalyvas, G. Theophilopoulos, T. Stathopoulos, H. Avramopoulos, L. Occhi, L. Schares, G. Guekos, S. Hansmann, and R. Dall'Ara, "20 Gb/s all-optical XOR with UNI gate," IEEE Photon. Technol. Lett. 12, 834-836 (2000).
[CrossRef]

Hall, K. L.

Hansmann, S.

C. Bintjas, M. Kalyvas, G. Theophilopoulos, T. Stathopoulos, H. Avramopoulos, L. Occhi, L. Schares, G. Guekos, S. Hansmann, and R. Dall'Ara, "20 Gb/s all-optical XOR with UNI gate," IEEE Photon. Technol. Lett. 12, 834-836 (2000).
[CrossRef]

Horvitz, S.

H. J. Caulfield, W. T. Rhodes, M. J. Foster, and S. Horvitz, "Optical implementation of systolic array processing," Opt. Commun. 40, 86-92 (1981).
[CrossRef]

Ichioka, Y.

J. Tanida and Y. Ichioka, "Optical logic array processor using shadowgrams," J. Opt. Soc. Am. A 73, 800-808 (1983).
[CrossRef]

Janossy, I.

S. D. Smith, I. Janossy, H. A. Mackenzie, J. G. E. Reid, M. R. Taghizadeh, F. A. P. Tooley, and A. C. Walker, "Nonlinear optical circuits, logic gates for optical computers: the first digital optical circuits," Opt. Eng. 24, 569-573 (1985).

Jino, M.

Kalyvas, M.

C. Bintjas, M. Kalyvas, G. Theophilopoulos, T. Stathopoulos, H. Avramopoulos, L. Occhi, L. Schares, G. Guekos, S. Hansmann, and R. Dall'Ara, "20 Gb/s all-optical XOR with UNI gate," IEEE Photon. Technol. Lett. 12, 834-836 (2000).
[CrossRef]

Kane, M.

J. P. Sokoloff, P. R. Prucnal, I. Glesk, and M. Kane, "A terahertz optical asymmetric demultiplexer (TOAD)," IEEE Photon. Technol. Lett. 5, 787-789 (1993).
[CrossRef]

Karim, M. A.

Kelly, A. E.

A. J. Poustie, R. J. Manning, and A. E. Kelly, "All-optical binary counter," Opt. Express 6, 69-74 (2000).
[CrossRef] [PubMed]

A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, "All-optical binary half-adder," Opt. Commun. 168, 89-93 (1999).
[CrossRef]

A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, "All-optical full-adder with bit differential delay," Opt. Commun. 156, 22-26 (1998).
[CrossRef]

Li, B.

Li, Z.

Liu, L.

Lohmann, A. W.

Mackenzie, H. A.

S. D. Smith, I. Janossy, H. A. Mackenzie, J. G. E. Reid, M. R. Taghizadeh, F. A. P. Tooley, and A. C. Walker, "Nonlinear optical circuits, logic gates for optical computers: the first digital optical circuits," Opt. Eng. 24, 569-573 (1985).

Maiti, A. K.

Manning, R. J.

A. J. Poustie, R. J. Manning, and A. E. Kelly, "All-optical binary counter," Opt. Express 6, 69-74 (2000).
[CrossRef] [PubMed]

A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, "All-optical binary half-adder," Opt. Commun. 168, 89-93 (1999).
[CrossRef]

A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, "All-optical full-adder with bit differential delay," Opt. Commun. 156, 22-26 (1998).
[CrossRef]

Matsumoto, T.

Modiano, E.

Mukhopadhyay, S.

J. N. Roy, A. K. Maiti, and S. Mukhopadhyay, "Designing of an all-optical time division multiplexing scheme with the help of nonlinear material based tree-net architecture," Chin. Opt. Lett. 4, 483-486 (2006).

N. Pahari, D. N. Das, and S. Mukhopadhyay, "All-optical method for addition of binary data by nonlinear materials," Appl. Opt. 43, 6147-6150 (2004).
[CrossRef] [PubMed]

J. N. Roy and S. Mukhopadhyay, "A minimization scheme of optical space variant logic operation in a combinational architecture," Opt. Commun. 119, 499-504 (1995).
[CrossRef]

S. Mukhopadhyay, "Optical implementation of knowledge based expression in data form," Opt. Eng. 31, 1284-1286 (1992).
[CrossRef]

S. Mukhopadhyay, "An optical conversion system: from binary to decimal and decimal to binary," Opt. Commun. 76, 309-312 (1990).
[CrossRef]

Nakazawa, M.

T. Yamamoto, E. Yoshida, and M. Nakazawa, "Ultra fast nonlinear optical loop mirror for demultiplexing 640Gbit/s TDM signals," Electron. Lett. 34, 1013-1014 (1998).
[CrossRef]

Occhi, L.

C. Bintjas, M. Kalyvas, G. Theophilopoulos, T. Stathopoulos, H. Avramopoulos, L. Occhi, L. Schares, G. Guekos, S. Hansmann, and R. Dall'Ara, "20 Gb/s all-optical XOR with UNI gate," IEEE Photon. Technol. Lett. 12, 834-836 (2000).
[CrossRef]

Pahari, N.

Poustie, A. J.

A. J. Poustie, R. J. Manning, and A. E. Kelly, "All-optical binary counter," Opt. Express 6, 69-74 (2000).
[CrossRef] [PubMed]

A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, "All-optical binary half-adder," Opt. Commun. 168, 89-93 (1999).
[CrossRef]

A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, "All-optical full-adder with bit differential delay," Opt. Commun. 156, 22-26 (1998).
[CrossRef]

Prucnal, P. R.

I. Glesk, R. J. Runser, and P. R. Prucnal, "New generation of devices for all-optical communication," Acta Phys. Slov. 51, 151-162 (2001).

J. P. Sokoloff, P. R. Prucnal, I. Glesk, and M. Kane, "A terahertz optical asymmetric demultiplexer (TOAD)," IEEE Photon. Technol. Lett. 5, 787-789 (1993).
[CrossRef]

Rauschenbach, K. A.

Reid, J. G. E.

S. D. Smith, I. Janossy, H. A. Mackenzie, J. G. E. Reid, M. R. Taghizadeh, F. A. P. Tooley, and A. C. Walker, "Nonlinear optical circuits, logic gates for optical computers: the first digital optical circuits," Opt. Eng. 24, 569-573 (1985).

Rhodes, W. T.

H. J. Caulfield, W. T. Rhodes, M. J. Foster, and S. Horvitz, "Optical implementation of systolic array processing," Opt. Commun. 40, 86-92 (1981).
[CrossRef]

Roy, J. N.

J. N. Roy, A. K. Maiti, and S. Mukhopadhyay, "Designing of an all-optical time division multiplexing scheme with the help of nonlinear material based tree-net architecture," Chin. Opt. Lett. 4, 483-486 (2006).

J. N. Roy and S. Mukhopadhyay, "A minimization scheme of optical space variant logic operation in a combinational architecture," Opt. Commun. 119, 499-504 (1995).
[CrossRef]

Runser, R. J.

I. Glesk, R. J. Runser, and P. R. Prucnal, "New generation of devices for all-optical communication," Acta Phys. Slov. 51, 151-162 (2001).

Schares, L.

C. Bintjas, M. Kalyvas, G. Theophilopoulos, T. Stathopoulos, H. Avramopoulos, L. Occhi, L. Schares, G. Guekos, S. Hansmann, and R. Dall'Ara, "20 Gb/s all-optical XOR with UNI gate," IEEE Photon. Technol. Lett. 12, 834-836 (2000).
[CrossRef]

Smith, S. D.

S. D. Smith, I. Janossy, H. A. Mackenzie, J. G. E. Reid, M. R. Taghizadeh, F. A. P. Tooley, and A. C. Walker, "Nonlinear optical circuits, logic gates for optical computers: the first digital optical circuits," Opt. Eng. 24, 569-573 (1985).

Sokoloff, J. P.

J. P. Sokoloff, P. R. Prucnal, I. Glesk, and M. Kane, "A terahertz optical asymmetric demultiplexer (TOAD)," IEEE Photon. Technol. Lett. 5, 787-789 (1993).
[CrossRef]

Stathopoulos, T.

C. Bintjas, M. Kalyvas, G. Theophilopoulos, T. Stathopoulos, H. Avramopoulos, L. Occhi, L. Schares, G. Guekos, S. Hansmann, and R. Dall'Ara, "20 Gb/s all-optical XOR with UNI gate," IEEE Photon. Technol. Lett. 12, 834-836 (2000).
[CrossRef]

Taghizadeh, M. R.

S. D. Smith, I. Janossy, H. A. Mackenzie, J. G. E. Reid, M. R. Taghizadeh, F. A. P. Tooley, and A. C. Walker, "Nonlinear optical circuits, logic gates for optical computers: the first digital optical circuits," Opt. Eng. 24, 569-573 (1985).

Tanida, J.

J. Tanida and Y. Ichioka, "Optical logic array processor using shadowgrams," J. Opt. Soc. Am. A 73, 800-808 (1983).
[CrossRef]

Theophilopoulos, G.

C. Bintjas, M. Kalyvas, G. Theophilopoulos, T. Stathopoulos, H. Avramopoulos, L. Occhi, L. Schares, G. Guekos, S. Hansmann, and R. Dall'Ara, "20 Gb/s all-optical XOR with UNI gate," IEEE Photon. Technol. Lett. 12, 834-836 (2000).
[CrossRef]

Tooley, F. A. P.

S. D. Smith, I. Janossy, H. A. Mackenzie, J. G. E. Reid, M. R. Taghizadeh, F. A. P. Tooley, and A. C. Walker, "Nonlinear optical circuits, logic gates for optical computers: the first digital optical circuits," Opt. Eng. 24, 569-573 (1985).

Walker, A. C.

S. D. Smith, I. Janossy, H. A. Mackenzie, J. G. E. Reid, M. R. Taghizadeh, F. A. P. Tooley, and A. C. Walker, "Nonlinear optical circuits, logic gates for optical computers: the first digital optical circuits," Opt. Eng. 24, 569-573 (1985).

Wang, K. W.

Weight, J.

J. Weight, "Binary logic by spatial filtering," Opt. Eng. 26, 28-33 (1987).

Wood, D.

Yamamoto, T.

T. Yamamoto, E. Yoshida, and M. Nakazawa, "Ultra fast nonlinear optical loop mirror for demultiplexing 640Gbit/s TDM signals," Electron. Lett. 34, 1013-1014 (1998).
[CrossRef]

Yatagai, T.

Yoshida, E.

T. Yamamoto, E. Yoshida, and M. Nakazawa, "Ultra fast nonlinear optical loop mirror for demultiplexing 640Gbit/s TDM signals," Electron. Lett. 34, 1013-1014 (1998).
[CrossRef]

Zhang, Z.

Acta Phys. Slov. (1)

I. Glesk, R. J. Runser, and P. R. Prucnal, "New generation of devices for all-optical communication," Acta Phys. Slov. 51, 151-162 (2001).

Appl. Opt. (6)

Chin. Opt. Lett. (1)

Electron. Lett. (1)

T. Yamamoto, E. Yoshida, and M. Nakazawa, "Ultra fast nonlinear optical loop mirror for demultiplexing 640Gbit/s TDM signals," Electron. Lett. 34, 1013-1014 (1998).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

J. P. Sokoloff, P. R. Prucnal, I. Glesk, and M. Kane, "A terahertz optical asymmetric demultiplexer (TOAD)," IEEE Photon. Technol. Lett. 5, 787-789 (1993).
[CrossRef]

C. Bintjas, M. Kalyvas, G. Theophilopoulos, T. Stathopoulos, H. Avramopoulos, L. Occhi, L. Schares, G. Guekos, S. Hansmann, and R. Dall'Ara, "20 Gb/s all-optical XOR with UNI gate," IEEE Photon. Technol. Lett. 12, 834-836 (2000).
[CrossRef]

J. Lightwave Technol. (1)

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

J. Tanida and Y. Ichioka, "Optical logic array processor using shadowgrams," J. Opt. Soc. Am. A 73, 800-808 (1983).
[CrossRef]

Opt. Commun. (5)

J. N. Roy and S. Mukhopadhyay, "A minimization scheme of optical space variant logic operation in a combinational architecture," Opt. Commun. 119, 499-504 (1995).
[CrossRef]

A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, "All-optical binary half-adder," Opt. Commun. 168, 89-93 (1999).
[CrossRef]

A. J. Poustie, K. J. Blow, A. E. Kelly, and R. J. Manning, "All-optical full-adder with bit differential delay," Opt. Commun. 156, 22-26 (1998).
[CrossRef]

H. J. Caulfield, W. T. Rhodes, M. J. Foster, and S. Horvitz, "Optical implementation of systolic array processing," Opt. Commun. 40, 86-92 (1981).
[CrossRef]

S. Mukhopadhyay, "An optical conversion system: from binary to decimal and decimal to binary," Opt. Commun. 76, 309-312 (1990).
[CrossRef]

Opt. Eng. (3)

S. Mukhopadhyay, "Optical implementation of knowledge based expression in data form," Opt. Eng. 31, 1284-1286 (1992).
[CrossRef]

J. Weight, "Binary logic by spatial filtering," Opt. Eng. 26, 28-33 (1987).

S. D. Smith, I. Janossy, H. A. Mackenzie, J. G. E. Reid, M. R. Taghizadeh, F. A. P. Tooley, and A. C. Walker, "Nonlinear optical circuits, logic gates for optical computers: the first digital optical circuits," Opt. Eng. 24, 569-573 (1985).

Opt. Express (2)

Opt. Lett. (3)

Other (2)

M. A. Karim and A. A. S. Awal, Optical Computing: An Introduction (Wiley, 2003).

G. P. Agrawal, Applications of Nonlinear Fiber Optics (Academic, 2001), Chap. 3.

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Figures (6)

Fig. 1
Fig. 1

(a) TOAD-based optical switch. (b) Schematic of the TOAD-based optical switch.

Fig. 3
Fig. 3

TOAD-based optical switch in tree architecture.

Fig. 4
Fig. 4

Optical circuit for the all-optical half-adder scheme.

Fig. 5
Fig. 5

Optical circuit for the 1 bit all-optical data comparison scheme. BS, beam splitter.

Fig. 6
Fig. 6

Optical circuit for the integrated all-optical full-adder and full-subtractor scheme. BC, beam combiner.

Tables (4)

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Table 1 State of Different Output Terminals for Different Values of A and B in Tree Architecture

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Table 2 Truth Table for Half-Adder

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Table 3 State of Different Output Terminals for Different Input Variables [Three Input] in OTA

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Table 4 Truth Table of Full-Adder and Full-Subtractor

Equations (1)

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Δ n = n 2 I ,

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