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  1. H. J. Caulfield et al., Opt. Commun. 40, 86 (Dec.1981).
    [CrossRef]
  2. D. Casasent, Appl. Opt. 21, 1859 (1982).
    [CrossRef] [PubMed]
  3. D. Casasent, J. Jackson, C. Neuman, Appl. Opt. 22, 115 (1983).
    [CrossRef] [PubMed]
  4. M. Carlotto, D. Casasent, Appl. Opt. 21, 147 (1982).
    [CrossRef] [PubMed]
  5. D. Casasent, A. Ghosh, Proc. Soc. Photo-Opt. Instrum. Eng. 388 (Jan.1983).
  6. R. K. Montoye, D. H. Lawrie, IEEE Trans. Comput. C-31, 1076 (1982).
    [CrossRef]
  7. R. P. Bocker et al., Proc. Soc. Photo-Opt. Instrum. Eng. 388 (Jan.1983).

1983 (3)

D. Casasent, A. Ghosh, Proc. Soc. Photo-Opt. Instrum. Eng. 388 (Jan.1983).

R. P. Bocker et al., Proc. Soc. Photo-Opt. Instrum. Eng. 388 (Jan.1983).

D. Casasent, J. Jackson, C. Neuman, Appl. Opt. 22, 115 (1983).
[CrossRef] [PubMed]

1982 (3)

1981 (1)

H. J. Caulfield et al., Opt. Commun. 40, 86 (Dec.1981).
[CrossRef]

Bocker, R. P.

R. P. Bocker et al., Proc. Soc. Photo-Opt. Instrum. Eng. 388 (Jan.1983).

Carlotto, M.

Casasent, D.

Caulfield, H. J.

H. J. Caulfield et al., Opt. Commun. 40, 86 (Dec.1981).
[CrossRef]

Ghosh, A.

D. Casasent, A. Ghosh, Proc. Soc. Photo-Opt. Instrum. Eng. 388 (Jan.1983).

Jackson, J.

Lawrie, D. H.

R. K. Montoye, D. H. Lawrie, IEEE Trans. Comput. C-31, 1076 (1982).
[CrossRef]

Montoye, R. K.

R. K. Montoye, D. H. Lawrie, IEEE Trans. Comput. C-31, 1076 (1982).
[CrossRef]

Neuman, C.

Appl. Opt. (3)

IEEE Trans. Comput. (1)

R. K. Montoye, D. H. Lawrie, IEEE Trans. Comput. C-31, 1076 (1982).
[CrossRef]

Opt. Commun. (1)

H. J. Caulfield et al., Opt. Commun. 40, 86 (Dec.1981).
[CrossRef]

Proc. Soc. Photo-Opt. Instrum. Eng. (2)

D. Casasent, A. Ghosh, Proc. Soc. Photo-Opt. Instrum. Eng. 388 (Jan.1983).

R. P. Bocker et al., Proc. Soc. Photo-Opt. Instrum. Eng. 388 (Jan.1983).

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Figures (1)

Fig. 1
Fig. 1

Dedicated optical systolic processor for solving triangular systems of equations.

Tables (1)

Tables Icon

Table I Data Flow for the Solution of a Lower Triangular System of Equations on the Optical Processor of Fig. 1 (4 × 4 Example)

Equations (5)

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[ l 11 0 0 0 x 1 l 21 l 22 0 0 x 2 l 31 l 32 l 33 0 x 3 l 41 l 42 l 43 l 44 x 4 ] = [ b 1 b 2 b 3 b 4 ] .
x 1 = b 1 ( 1 / l 11 ) , x 2 = ( b 2 - l 21 x 1 ) ( 1 / l 22 ) , x 3 = ( b 3 - l 31 x 1 - l 32 x 2 ) ( 1 / l 33 ) , x 4 = ( b 4 - l 41 x 1 - l 42 x 2 - l 43 x 3 ) ( 1 / l 44 ) .
L = [ 1 / l 11 0 0 0 l 21 1 / l 22 0 0 l 31 l 32 1 / l 33 0 l 41 l 42 l 43 1 / l 44 ] .
x m = ( b m - n = 1 m - 1 l m n x n ) [ 1 / l m m ] .
n = 1 m - 1 l m n x n ,

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