Abstract

The specification of coherent optical data processor components on the basis of approximate analogs and the inability of the optical designer to relate actual performance requirements to lens ray tracing computations have often resulted in systems that are disappointing in their results. Designing and manufacturing such systems to desired performance standards require a knowledge of both the communications and practical optical engineering aspects of the problem. The manner in which real coherent optical systems can be designed and assessed is illustrated by two examples. Quantitative criteria have been developed that are analogous to, but that differ significantly from, those used for assessing the quality of incoherent optical imaging systems. The usual computational methods available to optical designers are easily adapted to the evaluation of these criteria. The user can apply them to set specifications that are quantitatively related to the level at which his systems will perform.

© 1968 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. L. J. Cutrona, E. N. Leith, C. V. Palermo, L. J. Porcello, IRE Trans. Inform. Theory IT–6, 386 (1960).
    [CrossRef]
  2. L. J. Cutrona, E. N. Leith, L. J. Porcello, Proc. Nat. Electron. Conf. 15, 1 (1959).
  3. A B. Vander Lugt, IEEE Trans. Inform. Theory IT–10, 139, (1964).
    [CrossRef]
  4. M. Born, E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1959), p. 481.
  5. A. Offner, J. Opt. Soc. Amer. 56, 1509 (1966).
    [CrossRef]
  6. H. H. Hopkins, in Proceedings of the Conference on Photographic and Spectroscopic Optics, Tokyo and Kyoto 1964 (Japan. J. Appl. Phys., Tokyo, 1965), p. 31.

1966 (1)

A. Offner, J. Opt. Soc. Amer. 56, 1509 (1966).
[CrossRef]

1964 (1)

A B. Vander Lugt, IEEE Trans. Inform. Theory IT–10, 139, (1964).
[CrossRef]

1960 (1)

L. J. Cutrona, E. N. Leith, C. V. Palermo, L. J. Porcello, IRE Trans. Inform. Theory IT–6, 386 (1960).
[CrossRef]

1959 (1)

L. J. Cutrona, E. N. Leith, L. J. Porcello, Proc. Nat. Electron. Conf. 15, 1 (1959).

Born, M.

M. Born, E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1959), p. 481.

Cutrona, L. J.

L. J. Cutrona, E. N. Leith, C. V. Palermo, L. J. Porcello, IRE Trans. Inform. Theory IT–6, 386 (1960).
[CrossRef]

L. J. Cutrona, E. N. Leith, L. J. Porcello, Proc. Nat. Electron. Conf. 15, 1 (1959).

Hopkins, H. H.

H. H. Hopkins, in Proceedings of the Conference on Photographic and Spectroscopic Optics, Tokyo and Kyoto 1964 (Japan. J. Appl. Phys., Tokyo, 1965), p. 31.

Leith, E. N.

L. J. Cutrona, E. N. Leith, C. V. Palermo, L. J. Porcello, IRE Trans. Inform. Theory IT–6, 386 (1960).
[CrossRef]

L. J. Cutrona, E. N. Leith, L. J. Porcello, Proc. Nat. Electron. Conf. 15, 1 (1959).

Offner, A.

A. Offner, J. Opt. Soc. Amer. 56, 1509 (1966).
[CrossRef]

Palermo, C. V.

L. J. Cutrona, E. N. Leith, C. V. Palermo, L. J. Porcello, IRE Trans. Inform. Theory IT–6, 386 (1960).
[CrossRef]

Porcello, L. J.

L. J. Cutrona, E. N. Leith, C. V. Palermo, L. J. Porcello, IRE Trans. Inform. Theory IT–6, 386 (1960).
[CrossRef]

L. J. Cutrona, E. N. Leith, L. J. Porcello, Proc. Nat. Electron. Conf. 15, 1 (1959).

Vander Lugt, A B.

A B. Vander Lugt, IEEE Trans. Inform. Theory IT–10, 139, (1964).
[CrossRef]

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1959), p. 481.

IEEE Trans. Inform. Theory (1)

A B. Vander Lugt, IEEE Trans. Inform. Theory IT–10, 139, (1964).
[CrossRef]

IRE Trans. Inform. Theory (1)

L. J. Cutrona, E. N. Leith, C. V. Palermo, L. J. Porcello, IRE Trans. Inform. Theory IT–6, 386 (1960).
[CrossRef]

J. Opt. Soc. Amer. (1)

A. Offner, J. Opt. Soc. Amer. 56, 1509 (1966).
[CrossRef]

Proc. Nat. Electron. Conf. (1)

L. J. Cutrona, E. N. Leith, L. J. Porcello, Proc. Nat. Electron. Conf. 15, 1 (1959).

Other (2)

M. Born, E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1959), p. 481.

H. H. Hopkins, in Proceedings of the Conference on Photographic and Spectroscopic Optics, Tokyo and Kyoto 1964 (Japan. J. Appl. Phys., Tokyo, 1965), p. 31.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Relations between complex amplitude distributions in front and rear focal planes of ideal lens.

Fig. 2
Fig. 2

Pupil function of matched filter optical system.

Fig. 3
Fig. 3

Pupil function of coherent optical correlator.

Equations (15)

Equations on this page are rendered with MathJax. Learn more.

s ( f , g ) = - - s ( x , y ) e 2 π i ( f x + g y ) d x d y ,
f = u / λ R ,
g = v / λ R .
l = λ f ,
m = λ g ,
n = [ 1 - ( l 2 + m 2 ) ] 1 2 .
u = λ R f / n ,
u = λ R g / n ,
P c T ( u , v ) = [ A A c ( x , y ) A T ( x , y ) d x d y ] / A A c ( x , y ) d x d y .
P 0 ( u , v ) = P c T ( u , v ) P I ( u , v ) .
l = l c ± λ f ,
m = m c ± λ g .
A ( x 1 - x 0 , y 1 - y 0 ) = P P 0 ( u , v ) exp - 2 π i λ R [ ( x 1 - x 0 ) u + ( y 1 - y 0 ) v ] d u d v .
P e ( x , y ) = [ A c ( x , y ) / P ] P A T ( u , v ) d u d v .
P 0 ( x , y ) = P e ( x , y ) P I ( x , y ) .

Metrics