Abstract

A ray trace scheme for the automatic generation of optical aberration polynomials to arbitrary orders pioneered by T. B. Andersen is successfully applied to the diffraction analysis of rotationally symmetric optical systems on a desk-top computer. The diffraction-based optical transfer functions at various field positions are computed using the relatively new Winograd Fourier transform algorithm. The coding includes aspherical and reflective surfaces.

© 1983 Optical Society of America

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  1. D. Heshmaty-Manesh, Ph.D. Thesis, U. London (1978).
  2. T. B. Andersen, Appl. Opt. 19, 3800 (1980).
    [CrossRef] [PubMed]
  3. T. B. Andersen, Appl. Opt. 20, 2754 (1981).
    [CrossRef] [PubMed]
  4. T. B. Andersen, Appl. Opt. 20, 3263 (1981).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  6. T. B. Andersen, Appl. Opt. 21, 1817 (1982).
    [CrossRef] [PubMed]
  7. M. Herzberger, J. Opt. Soc. Am. 37, 485 (1947).
    [CrossRef] [PubMed]
  8. W. T. Welford, Aberrations of the Symmetrical Optical Systems (Academic, New York, 1974).
  9. S. Winograd, Math. Comp. 32, 175 (1978).
    [CrossRef]
  10. E. O. Brigham, Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N.J., 1974).
  11. J. W. Cooley, J. W. Tukey, Math. Comp. 19, 297 (1965).
    [CrossRef]
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    [CrossRef] [PubMed]
  13. D. Heshmaty-Manesh, S. C. Tam, Proc. Soc. Photo-Opt. Instrum. Eng. 369, (1983), Article 13.
  14. Y. Doi, Y. Sakai, K. Sado, U.S. Pat.3,961,845, 8June1976.
  15. R. Kingslake, Appl. Opt. 15, 2948 (1976).
  16. M. J. Kidger, Opt. Acta 25, 665 (1978).
    [CrossRef]
  17. C. F. Gerald, Applied Numerical Analysis (Addison-Wesley, Reading, Mass., 1978).

1983 (1)

D. Heshmaty-Manesh, S. C. Tam, Proc. Soc. Photo-Opt. Instrum. Eng. 369, (1983), Article 13.

1982 (2)

1981 (3)

1980 (1)

1978 (2)

M. J. Kidger, Opt. Acta 25, 665 (1978).
[CrossRef]

S. Winograd, Math. Comp. 32, 175 (1978).
[CrossRef]

1976 (1)

R. Kingslake, Appl. Opt. 15, 2948 (1976).

1965 (1)

J. W. Cooley, J. W. Tukey, Math. Comp. 19, 297 (1965).
[CrossRef]

1947 (1)

Andersen, T. B.

Brigham, E. O.

E. O. Brigham, Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N.J., 1974).

Cooley, J. W.

J. W. Cooley, J. W. Tukey, Math. Comp. 19, 297 (1965).
[CrossRef]

Doi, Y.

Y. Doi, Y. Sakai, K. Sado, U.S. Pat.3,961,845, 8June1976.

Gerald, C. F.

C. F. Gerald, Applied Numerical Analysis (Addison-Wesley, Reading, Mass., 1978).

Herzberger, M.

Heshmaty-Manesh, D.

D. Heshmaty-Manesh, S. C. Tam, Proc. Soc. Photo-Opt. Instrum. Eng. 369, (1983), Article 13.

D. Heshmaty-Manesh, S. C. Tam, Appl. Opt. 21, 3273 (1982).
[CrossRef] [PubMed]

D. Heshmaty-Manesh, Ph.D. Thesis, U. London (1978).

Kidger, M. J.

M. J. Kidger, Opt. Acta 25, 665 (1978).
[CrossRef]

Kingslake, R.

R. Kingslake, Appl. Opt. 15, 2948 (1976).

Sado, K.

Y. Doi, Y. Sakai, K. Sado, U.S. Pat.3,961,845, 8June1976.

Sakai, Y.

Y. Doi, Y. Sakai, K. Sado, U.S. Pat.3,961,845, 8June1976.

Tam, S. C.

D. Heshmaty-Manesh, S. C. Tam, Proc. Soc. Photo-Opt. Instrum. Eng. 369, (1983), Article 13.

D. Heshmaty-Manesh, S. C. Tam, Appl. Opt. 21, 3273 (1982).
[CrossRef] [PubMed]

Tukey, J. W.

J. W. Cooley, J. W. Tukey, Math. Comp. 19, 297 (1965).
[CrossRef]

Welford, W. T.

W. T. Welford, Aberrations of the Symmetrical Optical Systems (Academic, New York, 1974).

Winograd, S.

S. Winograd, Math. Comp. 32, 175 (1978).
[CrossRef]

Appl. Opt. (7)

J. Opt. Soc. Am. (1)

Math. Comp. (2)

J. W. Cooley, J. W. Tukey, Math. Comp. 19, 297 (1965).
[CrossRef]

S. Winograd, Math. Comp. 32, 175 (1978).
[CrossRef]

Opt. Acta (1)

M. J. Kidger, Opt. Acta 25, 665 (1978).
[CrossRef]

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

D. Heshmaty-Manesh, S. C. Tam, Proc. Soc. Photo-Opt. Instrum. Eng. 369, (1983), Article 13.

Other (5)

Y. Doi, Y. Sakai, K. Sado, U.S. Pat.3,961,845, 8June1976.

C. F. Gerald, Applied Numerical Analysis (Addison-Wesley, Reading, Mass., 1978).

E. O. Brigham, Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N.J., 1974).

D. Heshmaty-Manesh, Ph.D. Thesis, U. London (1978).

W. T. Welford, Aberrations of the Symmetrical Optical Systems (Academic, New York, 1974).

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