Abstract

Data from a previous scattering experiment are used to calculate the scattering potential along the radius of a weakly scattering cylinder in the Rytov approximation. The results of this calculation are compared with those of an earlier calculation from the same data, which employed the first Born approximation.

© 1985 Optical Society of America

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References

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  1. W. H. Carter, J. Opt. Soc. Am. 60, 306 (1970).
    [CrossRef]
  2. W. H. Carter, P.-C. Ho, Appl. Opt. 13, 162 (1974).
    [CrossRef] [PubMed]
  3. P.-C. Ho, W. H. Carter, Appl. Opt. 15, 313 (1976).
    [CrossRef] [PubMed]
  4. E. Wolf, Opt. Commun. 1, 153 (1969).
    [CrossRef]
  5. E. Wolf, J. Opt. Soc. Am. 60, 18 (1970).
    [CrossRef]
  6. W. H. Carter, Proc. Soc. Photo-Opt. Instrum. Eng. 358, 122 (1982).
  7. A. J. Devaney, Opt. Lett. 6, 374 (1981).
    [CrossRef] [PubMed]
  8. V. I. Tartarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, New York, 1961), Chap. 7.
  9. J. M. Tribolet, IEEE Trans. Acoust. Speech Signal Process. ASSP-25, 170 (1977).
    [CrossRef]
  10. M. Kaveh, R. K. Mueller, M. Soumekh, Z. Q. Lu, J. F. Greenleaf, Acoustical Imaging Vol. 12, Proceedings of the 12th International Symposium on Acoustical Imaging (Plenum, New York, 1982), pp. 599–608.
    [CrossRef]

1982 (1)

W. H. Carter, Proc. Soc. Photo-Opt. Instrum. Eng. 358, 122 (1982).

1981 (1)

1977 (1)

J. M. Tribolet, IEEE Trans. Acoust. Speech Signal Process. ASSP-25, 170 (1977).
[CrossRef]

1976 (1)

1974 (1)

1970 (2)

1969 (1)

E. Wolf, Opt. Commun. 1, 153 (1969).
[CrossRef]

Carter, W. H.

Devaney, A. J.

Greenleaf, J. F.

M. Kaveh, R. K. Mueller, M. Soumekh, Z. Q. Lu, J. F. Greenleaf, Acoustical Imaging Vol. 12, Proceedings of the 12th International Symposium on Acoustical Imaging (Plenum, New York, 1982), pp. 599–608.
[CrossRef]

Ho, P.-C.

Kaveh, M.

M. Kaveh, R. K. Mueller, M. Soumekh, Z. Q. Lu, J. F. Greenleaf, Acoustical Imaging Vol. 12, Proceedings of the 12th International Symposium on Acoustical Imaging (Plenum, New York, 1982), pp. 599–608.
[CrossRef]

Lu, Z. Q.

M. Kaveh, R. K. Mueller, M. Soumekh, Z. Q. Lu, J. F. Greenleaf, Acoustical Imaging Vol. 12, Proceedings of the 12th International Symposium on Acoustical Imaging (Plenum, New York, 1982), pp. 599–608.
[CrossRef]

Mueller, R. K.

M. Kaveh, R. K. Mueller, M. Soumekh, Z. Q. Lu, J. F. Greenleaf, Acoustical Imaging Vol. 12, Proceedings of the 12th International Symposium on Acoustical Imaging (Plenum, New York, 1982), pp. 599–608.
[CrossRef]

Soumekh, M.

M. Kaveh, R. K. Mueller, M. Soumekh, Z. Q. Lu, J. F. Greenleaf, Acoustical Imaging Vol. 12, Proceedings of the 12th International Symposium on Acoustical Imaging (Plenum, New York, 1982), pp. 599–608.
[CrossRef]

Tartarski, V. I.

V. I. Tartarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, New York, 1961), Chap. 7.

Tribolet, J. M.

J. M. Tribolet, IEEE Trans. Acoust. Speech Signal Process. ASSP-25, 170 (1977).
[CrossRef]

Wolf, E.

Appl. Opt. (2)

IEEE Trans. Acoust. Speech Signal Process. (1)

J. M. Tribolet, IEEE Trans. Acoust. Speech Signal Process. ASSP-25, 170 (1977).
[CrossRef]

J. Opt. Soc. Am. (2)

Opt. Commun. (1)

E. Wolf, Opt. Commun. 1, 153 (1969).
[CrossRef]

Opt. Lett. (1)

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

W. H. Carter, Proc. Soc. Photo-Opt. Instrum. Eng. 358, 122 (1982).

Other (2)

V. I. Tartarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, New York, 1961), Chap. 7.

M. Kaveh, R. K. Mueller, M. Soumekh, Z. Q. Lu, J. F. Greenleaf, Acoustical Imaging Vol. 12, Proceedings of the 12th International Symposium on Acoustical Imaging (Plenum, New York, 1982), pp. 599–608.
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

The scattering potential (in relative units) as a function of the distance r′ radially out from the axis of the bar as computed from holographic data with ns = 1.4570 and no = 1.4574. The arrow on the r′ axis indicates the true edge of the bar.

Fig. 2
Fig. 2

The scattering potential (in relative units) as a function of the distance r′ radially out from the axis of the bar as computed from holographic data with ns = 1.4570 and no = 1.4574. The arrow on the r′ axis indicates the true edge of the bar.

Fig. 3
Fig. 3

The amplitude (shown with the samples connected) and the unwrapped phase (shown point plotted) of the averaged total field. The amplitude and phase of the estimated incident field Ūi(x, zo)are also shown for reference.

Equations (6)

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F ( r ) = k 2 ( 1 n s 2 ( r ) / n o 2 ) ,
| U s ( x ) | | U i ( x ) | .
| ϕ s ( x ) | 2 π / λ ,
U t ( x ) = exp [ i ϕ s ( x ) ] U i ( x )
Ū ¯ s ( x , z o ) = Ū t ( x , z o ) Ū i ( x , z o ) ,
U R ( x , z o ) = Ū i ( x , z o ) ln [ Ū t ( x , z o ) / Ū i ( x , z o ) ]

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