Abstract

An acoustooptic time-integrating correlator is demonstrated using a photorefractive crystal as the time-integrating detector.

© 1985 Optical Society of America

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References

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  1. R. A. Sprague, C. L. Koliopoulos, “Time Integrating Acoustooptic Correlator,” Appl. Opt. 15, 89 (1976).
    [CrossRef] [PubMed]
  2. D. Psaltis, “Incoherent Electrooptic Image Correlator,” Opt. Eng. 23, 12 (1984).
    [CrossRef]
  3. N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, “Holographic Storage in Crystals. I: Steady State,” Ferroelectrics 22, 949 (1979).
    [CrossRef]
  4. J. Feinberg, D. Heiman, A. R. Tanguay, R. W. Hellwarth, “Photo Refractive Effects and Light-Induced Charge Migration in Barium Titanate,” J. Appl. Phys. 51, 1297 (1980).
    [CrossRef]
  5. M. Cronin-Golomb, “Large Nonlinearities in Four-Wave Mixing in Photorefractive Crystals and Applications in Passive Optical Phase Conjugation,” Ph.D. Thesis, California Institute of Technology (Mar.1983).

1984

D. Psaltis, “Incoherent Electrooptic Image Correlator,” Opt. Eng. 23, 12 (1984).
[CrossRef]

1980

J. Feinberg, D. Heiman, A. R. Tanguay, R. W. Hellwarth, “Photo Refractive Effects and Light-Induced Charge Migration in Barium Titanate,” J. Appl. Phys. 51, 1297 (1980).
[CrossRef]

1979

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, “Holographic Storage in Crystals. I: Steady State,” Ferroelectrics 22, 949 (1979).
[CrossRef]

1976

Cronin-Golomb, M.

M. Cronin-Golomb, “Large Nonlinearities in Four-Wave Mixing in Photorefractive Crystals and Applications in Passive Optical Phase Conjugation,” Ph.D. Thesis, California Institute of Technology (Mar.1983).

Feinberg, J.

J. Feinberg, D. Heiman, A. R. Tanguay, R. W. Hellwarth, “Photo Refractive Effects and Light-Induced Charge Migration in Barium Titanate,” J. Appl. Phys. 51, 1297 (1980).
[CrossRef]

Heiman, D.

J. Feinberg, D. Heiman, A. R. Tanguay, R. W. Hellwarth, “Photo Refractive Effects and Light-Induced Charge Migration in Barium Titanate,” J. Appl. Phys. 51, 1297 (1980).
[CrossRef]

Hellwarth, R. W.

J. Feinberg, D. Heiman, A. R. Tanguay, R. W. Hellwarth, “Photo Refractive Effects and Light-Induced Charge Migration in Barium Titanate,” J. Appl. Phys. 51, 1297 (1980).
[CrossRef]

Koliopoulos, C. L.

Kukhtarev, N. V.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, “Holographic Storage in Crystals. I: Steady State,” Ferroelectrics 22, 949 (1979).
[CrossRef]

Markov, V. B.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, “Holographic Storage in Crystals. I: Steady State,” Ferroelectrics 22, 949 (1979).
[CrossRef]

Odulov, S. G.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, “Holographic Storage in Crystals. I: Steady State,” Ferroelectrics 22, 949 (1979).
[CrossRef]

Psaltis, D.

D. Psaltis, “Incoherent Electrooptic Image Correlator,” Opt. Eng. 23, 12 (1984).
[CrossRef]

Soskin, M. S.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, “Holographic Storage in Crystals. I: Steady State,” Ferroelectrics 22, 949 (1979).
[CrossRef]

Sprague, R. A.

Tanguay, A. R.

J. Feinberg, D. Heiman, A. R. Tanguay, R. W. Hellwarth, “Photo Refractive Effects and Light-Induced Charge Migration in Barium Titanate,” J. Appl. Phys. 51, 1297 (1980).
[CrossRef]

Appl. Opt.

Ferroelectrics

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, “Holographic Storage in Crystals. I: Steady State,” Ferroelectrics 22, 949 (1979).
[CrossRef]

J. Appl. Phys.

J. Feinberg, D. Heiman, A. R. Tanguay, R. W. Hellwarth, “Photo Refractive Effects and Light-Induced Charge Migration in Barium Titanate,” J. Appl. Phys. 51, 1297 (1980).
[CrossRef]

Opt. Eng.

D. Psaltis, “Incoherent Electrooptic Image Correlator,” Opt. Eng. 23, 12 (1984).
[CrossRef]

Other

M. Cronin-Golomb, “Large Nonlinearities in Four-Wave Mixing in Photorefractive Crystals and Applications in Passive Optical Phase Conjugation,” Ph.D. Thesis, California Institute of Technology (Mar.1983).

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Figures (9)

Fig. 1
Fig. 1

Optical setup of the photorefractive bias removal correlator.

Fig. 2
Fig. 2

Output of a standard time-integrating correlator without noise.

Fig. 3
Fig. 3

Output of the bias removal correlator without noise.

Fig. 4
Fig. 4

Output of the bias removal correlator with a signal-to-noise ratio of 0 dB.

Fig. 5
Fig. 5

Output of the bias removal correlator with a signal-to-noise ratio of −10 dB.

Fig. 6
Fig. 6

Normalized output intensity vs modulation depth.

Fig. 7
Fig. 7

Theoretical plot of output intensity vs input voltage ratio.

Fig. 8
Fig. 8

Output intensity at correlation peak vs time as a function of different average incident intensities.

Fig. 9
Fig. 9

Inverse of the rise time vs average incident intensity.

Equations (16)

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I ( x , t ) = { I 0 + Re [ I 1 ( x , t ) exp ( i k x ) ] for t > 0 0 otherwise .
I out ( x , t ) = | K 1 τ exp ( t / τ ) 0 t I 1 ( x , t ) I 0 exp ( t / τ ) d t | 2 I R .
I 1 ( x , t ) = I ˜ 1 ( x , w ) exp ( i w t ) d w ,
I out ( x , t ) | K 1 τ I 0 I ˜ 1 ( x , w ) ( 1 / τ + i w ) exp ( i w t ) d w | 2 I R .
I out ( x , t ) | K 1 τ t t + τ I 1 ( x , t ) I 0 d t | 2 I R .
I ( x , t ) = | a ( t x / υ ) exp ( i γ x ) + b ( t + x / υ ) exp ( i γ x ) | 2 = | a ( t x / υ ) | 2 + | b ( t + x / υ ) | 2 + 2 Re [ a ( t x / υ ) b * ( t + x / υ ) exp ( i 2 γ x ) ] ,
I out ( x ) I R | K 1 τ | 2 | t t + τ a ( t x / υ ) b * ( t + x / υ ) | a | 2 + | b | 2 d t | 2 ,
I out ( x ) | t + x / υ t + τ x / υ a ( t 1 ) b * ( t 1 + 2 x / υ ) d t 1 | 2 .
I ( x , t ) = ( 1 + a 2 + 2 a cos k x ) | s ( t ) | 2 .
I out | 2 a 1 + a 2 τ | 2 .
m = 2 a 1 + a 2 ,
I out m 2 = 4 a 2 / ( 1 + a 2 ) .
| τ | = | K 2 I 0 | .
m = 2 a b | s ( t ) | 2 ( a 2 + b 2 ) | s ( t ) | 2 + σ n 2 .
m = b ( b 2 + σ n 2 / | s ( t ) | 2 ) 1 / 2 .
m = b ( b 2 + 1 ) 1 / 2 .

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