Abstract

A new method has been developed to perform an Abel inversion. As smoothing is an essential step when one deals with experimental data, a controlled smoothing procedure using spline functions is used. This gives better results for test functions used by previous authors on data with or without scattering.

© 1978 Optical Society of America

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References

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  1. M. Stanisavljevic, N. Konjevic, Fizika 4, 13 (1972).
  2. C. J. Cremers, R. C. Birkebak, Appl. Opt. 5, 1057 (1966).
    [CrossRef] [PubMed]
  3. R. Bracewell, The Fourier Transform and Its Applications (McGraw-Hill, New York, 1965).
  4. J. H. Ahlberg, E. N. Nilson, J. L. Walsh, The Theory of Splines and Their Applications (Academic, New York, 1967).
  5. W. Frie, Ann. Phys. N. Y. 10, 332 (1963).
  6. H. Edels, K. R. Hearne, A. Young, J. Math. Phys. N.Y. 41, 62 (1962).
  7. O. E. Berge, J. Richter, AFSC Rep. 61(052), 797 (1966).
  8. W. L. Barr, J. Opt. Soc. Am. 52, 885 (1962).
    [CrossRef]
  9. D. H. Nestor, H. N. Olsen, SIAM Rev. 2, 200 (1960).
    [CrossRef]
  10. H. Maecker, Z. Phys. 136, 119 (1953).
    [CrossRef]
  11. R. Ladenburg, J. A. Winckler, C. C. Van Voorhis, Phys. Rev. 73, 1359 (1948).
    [CrossRef]
  12. K. Bockasten, J. Opt. Soc. Am. 51, 943 (1961).
    [CrossRef]

1972 (1)

M. Stanisavljevic, N. Konjevic, Fizika 4, 13 (1972).

1966 (2)

C. J. Cremers, R. C. Birkebak, Appl. Opt. 5, 1057 (1966).
[CrossRef] [PubMed]

O. E. Berge, J. Richter, AFSC Rep. 61(052), 797 (1966).

1963 (1)

W. Frie, Ann. Phys. N. Y. 10, 332 (1963).

1962 (2)

H. Edels, K. R. Hearne, A. Young, J. Math. Phys. N.Y. 41, 62 (1962).

W. L. Barr, J. Opt. Soc. Am. 52, 885 (1962).
[CrossRef]

1961 (1)

1960 (1)

D. H. Nestor, H. N. Olsen, SIAM Rev. 2, 200 (1960).
[CrossRef]

1953 (1)

H. Maecker, Z. Phys. 136, 119 (1953).
[CrossRef]

1948 (1)

R. Ladenburg, J. A. Winckler, C. C. Van Voorhis, Phys. Rev. 73, 1359 (1948).
[CrossRef]

Ahlberg, J. H.

J. H. Ahlberg, E. N. Nilson, J. L. Walsh, The Theory of Splines and Their Applications (Academic, New York, 1967).

Barr, W. L.

Berge, O. E.

O. E. Berge, J. Richter, AFSC Rep. 61(052), 797 (1966).

Birkebak, R. C.

Bockasten, K.

Bracewell, R.

R. Bracewell, The Fourier Transform and Its Applications (McGraw-Hill, New York, 1965).

Cremers, C. J.

Edels, H.

H. Edels, K. R. Hearne, A. Young, J. Math. Phys. N.Y. 41, 62 (1962).

Frie, W.

W. Frie, Ann. Phys. N. Y. 10, 332 (1963).

Hearne, K. R.

H. Edels, K. R. Hearne, A. Young, J. Math. Phys. N.Y. 41, 62 (1962).

Konjevic, N.

M. Stanisavljevic, N. Konjevic, Fizika 4, 13 (1972).

Ladenburg, R.

R. Ladenburg, J. A. Winckler, C. C. Van Voorhis, Phys. Rev. 73, 1359 (1948).
[CrossRef]

Maecker, H.

H. Maecker, Z. Phys. 136, 119 (1953).
[CrossRef]

Nestor, D. H.

D. H. Nestor, H. N. Olsen, SIAM Rev. 2, 200 (1960).
[CrossRef]

Nilson, E. N.

J. H. Ahlberg, E. N. Nilson, J. L. Walsh, The Theory of Splines and Their Applications (Academic, New York, 1967).

Olsen, H. N.

D. H. Nestor, H. N. Olsen, SIAM Rev. 2, 200 (1960).
[CrossRef]

Richter, J.

O. E. Berge, J. Richter, AFSC Rep. 61(052), 797 (1966).

Stanisavljevic, M.

M. Stanisavljevic, N. Konjevic, Fizika 4, 13 (1972).

Van Voorhis, C. C.

R. Ladenburg, J. A. Winckler, C. C. Van Voorhis, Phys. Rev. 73, 1359 (1948).
[CrossRef]

Walsh, J. L.

J. H. Ahlberg, E. N. Nilson, J. L. Walsh, The Theory of Splines and Their Applications (Academic, New York, 1967).

Winckler, J. A.

R. Ladenburg, J. A. Winckler, C. C. Van Voorhis, Phys. Rev. 73, 1359 (1948).
[CrossRef]

Young, A.

H. Edels, K. R. Hearne, A. Young, J. Math. Phys. N.Y. 41, 62 (1962).

AFSC Rep. (1)

O. E. Berge, J. Richter, AFSC Rep. 61(052), 797 (1966).

Ann. Phys. N. Y. (1)

W. Frie, Ann. Phys. N. Y. 10, 332 (1963).

Appl. Opt. (1)

Fizika (1)

M. Stanisavljevic, N. Konjevic, Fizika 4, 13 (1972).

J. Math. Phys. N.Y. (1)

H. Edels, K. R. Hearne, A. Young, J. Math. Phys. N.Y. 41, 62 (1962).

J. Opt. Soc. Am. (2)

Phys. Rev. (1)

R. Ladenburg, J. A. Winckler, C. C. Van Voorhis, Phys. Rev. 73, 1359 (1948).
[CrossRef]

SIAM Rev. (1)

D. H. Nestor, H. N. Olsen, SIAM Rev. 2, 200 (1960).
[CrossRef]

Z. Phys. (1)

H. Maecker, Z. Phys. 136, 119 (1953).
[CrossRef]

Other (2)

R. Bracewell, The Fourier Transform and Its Applications (McGraw-Hill, New York, 1965).

J. H. Ahlberg, E. N. Nilson, J. L. Walsh, The Theory of Splines and Their Applications (Academic, New York, 1967).

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