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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 59, Iss. 11 — Nov. 1, 1969
  • pp: 1432–1439

General Diffraction Theory of Optical Aberration Tests, from the Point of View of Spatial Filtering

RICHARD BARAKAT  »View Author Affiliations

JOSA, Vol. 59, Issue 11, pp. 1432-1439 (1969)

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A general theory of optical-aberration tests, encompassing many well-known practical tests, is presented, utilizing the formalism of spatial filtering, employing coherent illumination. The basic diffraction integrals of the Ronchi-grating test, Foucault knife-edge test, phase Foucault knife-edge test, and the Zernike phase-contrast test are derived. Typical situations have been analyzed and numerical results are shown and discussed.

RICHARD BARAKAT, "General Diffraction Theory of Optical Aberration Tests, from the Point of View of Spatial Filtering," J. Opt. Soc. Am. 59, 1432-1439 (1969)

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  1. L. C. Martin, Technical Optics, Vol. 2 (Pitman and Sons, Ltd., London, 1960), 2nd ed.
  2. I. Adachi, Atti Fond. Ronchi 15, 461, 550 (1960).
  3. R. K. Luneburg, Mathematical Theory of Optics (University of California Press, Berkeley, 1964).
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  14. S. C. Gascoigne, Monthly Not. Roy. Astron. Soc. 104, 326 (1945). Gascoigne treats the two-dimensional model. The author has rederived all of his results, using the theory of prolate spheroidal functions.
  15. F. Zernike, Physica 1, 689 (1934).
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