Abstract

A Fabry-Perot etalon placed in the object plane of a coherent optical processing system can be used as a variable bandpass preprocessing filter. Use of this filter leads to improved correlation signals in a matched spatial filter system. Experimental results are shown and compared with results obtained by two other preprocessing methods.

© 1981 Optical Society of America

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References

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  1. J. Bulabois, A. Caron, J. C. Vienot, Opt. Technol. 8, 191 (1969).
    [CrossRef]
  2. D. Casasent, A. Furman, Appl. Opt. 15, 1690 (1976).
    [CrossRef] [PubMed]
  3. S. K. Case et al., Appl. Phys. 17, 287 (1978).
    [CrossRef]
  4. G. Indebetouw, Appl. Opt. 19, 761 (1980).
    [CrossRef] [PubMed]
  5. G. Indebetouw, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 224 (1980).

1980 (2)

G. Indebetouw, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 224 (1980).

G. Indebetouw, Appl. Opt. 19, 761 (1980).
[CrossRef] [PubMed]

1978 (1)

S. K. Case et al., Appl. Phys. 17, 287 (1978).
[CrossRef]

1976 (1)

1969 (1)

J. Bulabois, A. Caron, J. C. Vienot, Opt. Technol. 8, 191 (1969).
[CrossRef]

Bulabois, J.

J. Bulabois, A. Caron, J. C. Vienot, Opt. Technol. 8, 191 (1969).
[CrossRef]

Caron, A.

J. Bulabois, A. Caron, J. C. Vienot, Opt. Technol. 8, 191 (1969).
[CrossRef]

Casasent, D.

Case, S. K.

S. K. Case et al., Appl. Phys. 17, 287 (1978).
[CrossRef]

Furman, A.

Indebetouw, G.

G. Indebetouw, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 224 (1980).

G. Indebetouw, Appl. Opt. 19, 761 (1980).
[CrossRef] [PubMed]

Vienot, J. C.

J. Bulabois, A. Caron, J. C. Vienot, Opt. Technol. 8, 191 (1969).
[CrossRef]

Appl. Opt. (2)

Appl. Phys. (1)

S. K. Case et al., Appl. Phys. 17, 287 (1978).
[CrossRef]

Opt. Technol. (1)

J. Bulabois, A. Caron, J. C. Vienot, Opt. Technol. 8, 191 (1969).
[CrossRef]

Proc. Soc. Photo-Opt. Instrum. Eng. (1)

G. Indebetouw, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 224 (1980).

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Figures (7)

Fig. 1
Fig. 1

Optical processing system: O, input object(s); R, reference wave; MSF, matched spatial filter; I, image plane; C, correlation plane; L, Fourier transform lenses.

Fig. 2
Fig. 2

System A (with overexposed filter): (A) MSF impulse response; (B) input objects; (C) correlation field; (D) scan through middle line of correlation field.

Fig. 3
Fig. 3

Same as Fig. 2 except for system B (with wire filter).

Fig. 4
Fig. 4

Same as Fig. 2 except for system C (with Fabry-Perot filter).

Fig. 5
Fig. 5

Optical processing system with F.P. preprocessing filter. Symbols as in Fig. 1 except L1 and L2 are relay lenses; F.P. = Fabry-Perot etalon.

Fig. 6
Fig. 6

Transmittance of Fabry-Perot filter: d = (2N + 1)λ/4; N = 2000.

Fig. 7
Fig. 7

Reflectance of Fabry-Perot filter: d = Nλ/2; N = 2000.

Equations (7)

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T ( ρ ) = 1 1 + 4 F 2 π 2 sin 2 δ ,
F = π R / ( 1 R )
δ = 2 π d λ cos θ ,
θ = sin 1 ( λ ρ )
d / λ = ( 2 N + 1 ) / 4 ,
T ( 0 ) = minimum = ( 1 + 4 F 2 / π 2 ) 1 .
R ( ρ ) = 4 F 2 π 2 sin 2 δ 1 + 4 F 2 π 2 sin 2 δ ·

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