Abstract

The problem of expressing the kernel of a fractional Fourier transform in elementary functions is posed and solved.

© 1994 Optical Society of America

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References

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  1. H. M. Ozaktas, D. Mendlovic, Opt. Commun. 101, 163 (1993).
    [CrossRef]
  2. D. Mendlovic, H. M. Ozaktas, J. Opt. Soc. Am. A 10, 1875 (1993).
    [CrossRef]
  3. V. Namias, J. Inst. Math. Appl. 25, 241 (1980).
    [CrossRef]
  4. L. B. Almeida, “The angular Fourier transform,” IEEE Trans. Signal Process. (to be published).
  5. A. C. McBride, F. H. Kerr, IMA J. Appl. Math. 39, 159 (1987).
    [CrossRef]
  6. A. W. Lohmann, J. Opt. Soc. Am. A 10, 2181 (1993).
    [CrossRef]

1993 (3)

1987 (1)

A. C. McBride, F. H. Kerr, IMA J. Appl. Math. 39, 159 (1987).
[CrossRef]

1980 (1)

V. Namias, J. Inst. Math. Appl. 25, 241 (1980).
[CrossRef]

Almeida, L. B.

L. B. Almeida, “The angular Fourier transform,” IEEE Trans. Signal Process. (to be published).

Kerr, F. H.

A. C. McBride, F. H. Kerr, IMA J. Appl. Math. 39, 159 (1987).
[CrossRef]

Lohmann, A. W.

McBride, A. C.

A. C. McBride, F. H. Kerr, IMA J. Appl. Math. 39, 159 (1987).
[CrossRef]

Mendlovic, D.

H. M. Ozaktas, D. Mendlovic, Opt. Commun. 101, 163 (1993).
[CrossRef]

D. Mendlovic, H. M. Ozaktas, J. Opt. Soc. Am. A 10, 1875 (1993).
[CrossRef]

Namias, V.

V. Namias, J. Inst. Math. Appl. 25, 241 (1980).
[CrossRef]

Ozaktas, H. M.

D. Mendlovic, H. M. Ozaktas, J. Opt. Soc. Am. A 10, 1875 (1993).
[CrossRef]

H. M. Ozaktas, D. Mendlovic, Opt. Commun. 101, 163 (1993).
[CrossRef]

IMA J. Appl. Math. (1)

A. C. McBride, F. H. Kerr, IMA J. Appl. Math. 39, 159 (1987).
[CrossRef]

J. Inst. Math. Appl. (1)

V. Namias, J. Inst. Math. Appl. 25, 241 (1980).
[CrossRef]

J. Opt. Soc. Am. A (2)

Opt. Commun. (1)

H. M. Ozaktas, D. Mendlovic, Opt. Commun. 101, 163 (1993).
[CrossRef]

Other (1)

L. B. Almeida, “The angular Fourier transform,” IEEE Trans. Signal Process. (to be published).

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