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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 61, Iss. 10 — Oct. 1, 1971
  • pp: 1428–1429

Quasigeometric Approach to the Fourier Analysis of Imaging Lenses

STEPHEN HERMAN  »View Author Affiliations


JOSA, Vol. 61, Issue 10, pp. 1428-1429 (1971)
http://dx.doi.org/10.1364/JOSA.61.001428


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Citation
STEPHEN HERMAN, "Quasigeometric Approach to the Fourier Analysis of Imaging Lenses," J. Opt. Soc. Am. 61, 1428-1429 (1971)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-61-10-1428


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References

  1. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  2. A. Vander Lugt, private communication.
  3. A. Papoulis, The Fourier Integral and Its Applications (McGraw-Hill, New York, 1962).
  4. E. Abbe, Arch. Mikroskop. Anat. 9, 413 (1873).
  5. F. Zernike, in J. Strong, Concepts of Classical Optics (Freeman, San Francisco, 1958), p. 533.
  6. S. Herman, Proc. IEEE 57, 346 (1969).
  7. Actually we should write gt = ½ [1 +cos(2πƒ0x1)] rect(x1/C) rect(y1/D). We are neglecting the constant additive term because it does not add to the current development. The size of the transparency, C×D, is also assumed to be much larger than the lens aperture, allowing us to assume an infinite transparency.
  8. B. J. Thompson, private communication.

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