Abstract

An incoherent optical data-processing method is described, which has the potential for performing discrete Fourier transforms of short length at rates far exceeding those afforded by both special-purpose digital hardware and representative coherent optical processors.

© 1978 Optical Society of America

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References

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  1. J. W. Goodman, L. M. Woody, “Method for performing complex-valued linear operations on complex-valued data using incoherent light,” Appl. Opt. 16, 2611 (1977).
    [CrossRef] [PubMed]
  2. If one is sufficiently clever in eliminating unwanted terms at the output, real and imaginary components on biases can be used. However, the dynamic range of the system is reduced by such an approach.
  3. We refer specifically to a system with an electron-beam addressed DKDP input light valve, which is capable of entering 106 data points 30 times per second. See D. Casasent, Proc. IEEE 65, 143 (1977).
    [CrossRef]
  4. R. P. Bocker, Appl. Opt. 13, 1670 (1974).
    [CrossRef] [PubMed]
  5. M. A. Monahan, K. Bromley, R. P. Bocker, Proc. IEEE 65, 121 (1977).
    [CrossRef]

1977 (3)

J. W. Goodman, L. M. Woody, “Method for performing complex-valued linear operations on complex-valued data using incoherent light,” Appl. Opt. 16, 2611 (1977).
[CrossRef] [PubMed]

We refer specifically to a system with an electron-beam addressed DKDP input light valve, which is capable of entering 106 data points 30 times per second. See D. Casasent, Proc. IEEE 65, 143 (1977).
[CrossRef]

M. A. Monahan, K. Bromley, R. P. Bocker, Proc. IEEE 65, 121 (1977).
[CrossRef]

1974 (1)

Bocker, R. P.

M. A. Monahan, K. Bromley, R. P. Bocker, Proc. IEEE 65, 121 (1977).
[CrossRef]

R. P. Bocker, Appl. Opt. 13, 1670 (1974).
[CrossRef] [PubMed]

Bromley, K.

M. A. Monahan, K. Bromley, R. P. Bocker, Proc. IEEE 65, 121 (1977).
[CrossRef]

Casasent, D.

We refer specifically to a system with an electron-beam addressed DKDP input light valve, which is capable of entering 106 data points 30 times per second. See D. Casasent, Proc. IEEE 65, 143 (1977).
[CrossRef]

Goodman, J. W.

Monahan, M. A.

M. A. Monahan, K. Bromley, R. P. Bocker, Proc. IEEE 65, 121 (1977).
[CrossRef]

Woody, L. M.

Appl. Opt. (2)

Proc. IEEE (2)

M. A. Monahan, K. Bromley, R. P. Bocker, Proc. IEEE 65, 121 (1977).
[CrossRef]

We refer specifically to a system with an electron-beam addressed DKDP input light valve, which is capable of entering 106 data points 30 times per second. See D. Casasent, Proc. IEEE 65, 143 (1977).
[CrossRef]

Other (1)

If one is sufficiently clever in eliminating unwanted terms at the output, real and imaginary components on biases can be used. However, the dynamic range of the system is reduced by such an approach.

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Figures (3)

Fig. 1
Fig. 1

Incoherent optical processor configuration. (a), pictorial view; (b), top view; (c), side view.

Fig. 2
Fig. 2

Matrix mask for a 10-point DFT.

Fig. 3
Fig. 3

Theoretical [(a), (c), (e)] and experimental [(b), (d), (f)] DFT results.

Equations (3)

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g = H f .
f = f ( 0 ) + f ( 1 ) exp ( j 2 π / 3 ) + f ( 2 ) exp ( j 4 π / 3 ) , H = H ( 0 ) + H ( 1 ) exp ( j 2 π / 3 ) + H ( 2 ) exp ( j 4 π / 3 ) ,
[ g ( 0 ) g ( 1 ) g ( 2 ) ] = [ H ( 0 ) H ( 2 ) H ( 1 ) H ( 1 ) H ( 0 ) H ( 2 ) H ( 2 ) H ( 1 ) H ( 0 ) ] [ f ( 0 ) f ( 1 ) f ( 2 ) ] .

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