Abstract

The modulation transfer functions of some aqueous solutions were calculated in two ways: (a) by measuring the sine-wave response through observation of the contrast transmittance of a resolution grating, and (b) by computing the Fourier transform of the image of a line source. For linear-invariant systems, to which Fourier techniques are applicable, both schemes will yield the same result. In the experiments, significant differences were found, caused by small temperature fluctuations in the solutions. The indiscriminate application of Fourier techniques to image transmission in natural bodies of water is questioned.

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  1. J. R. V. Zaneveld and G. F. Beardsley, Jr., J. Opt. Soc. Am. 59, 378 (1969).
  2. W. H. Wells, J. Opt. Soc. Am. 59, 686 (1969).
  3. R. C. Honey and G. P. Sorensen, in Electromagnetics of the Sea, AGARD Conference Proceedings No. 77 (NATO, Paris, 1970; NASA, Langley Field, Virginia, distr.), p. 39.
  4. H. T. Yura, Appl. Opt. 10, 114 (1971).
  5. The restriction of space invariance is usually removed by subdividing the image plane into isoplanatic patches in which the form of the point spread function is approximately uniform.
  6. G. B. Parrent, Jr. and B. J. Thompson, Physical Optics Notebook (Society of Photo-Optical Instrumentation Engineers, Redondo Beach, Calif., 1969).
  7. R. C. Jones, J. Opt. Soc. Am. 48, 934 (1958).
  8. L. Ochs, J. A. Baughman, and J. Ballance, OS-3 ARAND System: Documentation and Examples, Vol. 1 (Oregon State University, Corvallis, 1970).
  9. J. W. Coltman, J. Opt. Soc. Am. 44, 468 (1954). The use of this formula is justified for only linear systems with symmetric imaging errors.
  10. R. E. Hufnagel and N. R. Stanley, J. Opt. Soc. Am. 54, 52 (1964).
  11. S. Q. Duntley, W. H. Culver, F. Richey, and R. W. Preisendorfer, J. Opt. Soc. Am. 53, 351 (1963).
  12. P. Lindberg, Opt. Acta 1, 80 (1954).
  13. E. L. O'Neill, Introduction to Statistical Optics (Addison—Wesley, Reading, Mass., 1963), p. 17.

Ballance, J.

L. Ochs, J. A. Baughman, and J. Ballance, OS-3 ARAND System: Documentation and Examples, Vol. 1 (Oregon State University, Corvallis, 1970).

Baughman, J. A.

L. Ochs, J. A. Baughman, and J. Ballance, OS-3 ARAND System: Documentation and Examples, Vol. 1 (Oregon State University, Corvallis, 1970).

Beardsley, Jr., G. F.

J. R. V. Zaneveld and G. F. Beardsley, Jr., J. Opt. Soc. Am. 59, 378 (1969).

Coltman, J. W.

J. W. Coltman, J. Opt. Soc. Am. 44, 468 (1954). The use of this formula is justified for only linear systems with symmetric imaging errors.

Culver, W. H.

S. Q. Duntley, W. H. Culver, F. Richey, and R. W. Preisendorfer, J. Opt. Soc. Am. 53, 351 (1963).

Duntley, S. Q.

S. Q. Duntley, W. H. Culver, F. Richey, and R. W. Preisendorfer, J. Opt. Soc. Am. 53, 351 (1963).

Honey, R. C.

R. C. Honey and G. P. Sorensen, in Electromagnetics of the Sea, AGARD Conference Proceedings No. 77 (NATO, Paris, 1970; NASA, Langley Field, Virginia, distr.), p. 39.

Hufnagel, R. E.

R. E. Hufnagel and N. R. Stanley, J. Opt. Soc. Am. 54, 52 (1964).

Jones, R. C.

R. C. Jones, J. Opt. Soc. Am. 48, 934 (1958).

Lindberg, P.

P. Lindberg, Opt. Acta 1, 80 (1954).

O’Neill, E. L.

E. L. O'Neill, Introduction to Statistical Optics (Addison—Wesley, Reading, Mass., 1963), p. 17.

Ochs, L.

L. Ochs, J. A. Baughman, and J. Ballance, OS-3 ARAND System: Documentation and Examples, Vol. 1 (Oregon State University, Corvallis, 1970).

Parrent, Jr., G. B.

G. B. Parrent, Jr. and B. J. Thompson, Physical Optics Notebook (Society of Photo-Optical Instrumentation Engineers, Redondo Beach, Calif., 1969).

Preisendorfer, R. W.

S. Q. Duntley, W. H. Culver, F. Richey, and R. W. Preisendorfer, J. Opt. Soc. Am. 53, 351 (1963).

Richey, F.

S. Q. Duntley, W. H. Culver, F. Richey, and R. W. Preisendorfer, J. Opt. Soc. Am. 53, 351 (1963).

Sorensen, G. P.

R. C. Honey and G. P. Sorensen, in Electromagnetics of the Sea, AGARD Conference Proceedings No. 77 (NATO, Paris, 1970; NASA, Langley Field, Virginia, distr.), p. 39.

Stanley, N. R.

R. E. Hufnagel and N. R. Stanley, J. Opt. Soc. Am. 54, 52 (1964).

Thompson, B. J.

G. B. Parrent, Jr. and B. J. Thompson, Physical Optics Notebook (Society of Photo-Optical Instrumentation Engineers, Redondo Beach, Calif., 1969).

Wells, W. H.

W. H. Wells, J. Opt. Soc. Am. 59, 686 (1969).

Yura, H. T.

H. T. Yura, Appl. Opt. 10, 114 (1971).

Zaneveld, J. R. V.

J. R. V. Zaneveld and G. F. Beardsley, Jr., J. Opt. Soc. Am. 59, 378 (1969).

Other

J. R. V. Zaneveld and G. F. Beardsley, Jr., J. Opt. Soc. Am. 59, 378 (1969).

W. H. Wells, J. Opt. Soc. Am. 59, 686 (1969).

R. C. Honey and G. P. Sorensen, in Electromagnetics of the Sea, AGARD Conference Proceedings No. 77 (NATO, Paris, 1970; NASA, Langley Field, Virginia, distr.), p. 39.

H. T. Yura, Appl. Opt. 10, 114 (1971).

The restriction of space invariance is usually removed by subdividing the image plane into isoplanatic patches in which the form of the point spread function is approximately uniform.

G. B. Parrent, Jr. and B. J. Thompson, Physical Optics Notebook (Society of Photo-Optical Instrumentation Engineers, Redondo Beach, Calif., 1969).

R. C. Jones, J. Opt. Soc. Am. 48, 934 (1958).

L. Ochs, J. A. Baughman, and J. Ballance, OS-3 ARAND System: Documentation and Examples, Vol. 1 (Oregon State University, Corvallis, 1970).

J. W. Coltman, J. Opt. Soc. Am. 44, 468 (1954). The use of this formula is justified for only linear systems with symmetric imaging errors.

R. E. Hufnagel and N. R. Stanley, J. Opt. Soc. Am. 54, 52 (1964).

S. Q. Duntley, W. H. Culver, F. Richey, and R. W. Preisendorfer, J. Opt. Soc. Am. 53, 351 (1963).

P. Lindberg, Opt. Acta 1, 80 (1954).

E. L. O'Neill, Introduction to Statistical Optics (Addison—Wesley, Reading, Mass., 1963), p. 17.

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