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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 42, Iss. 8 — Aug. 1, 1952
  • pp: 547–549

On a New Aberration Function of Optical Instruments

E. WoLF  »View Author Affiliations

JOSA, Vol. 42, Issue 8, pp. 547-549 (1952)

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A new characteristic function is introduced which enables an immediate determination of the departures of imaging pencils of rays from homocentricity as well as of the deformations of the associated wave fronts from spherical form. This function is therefore well suited for investigations of aberration effects on the basis of geometrical optics or of diffraction theory.

Within the approximations of fourth-order theory, the new function is closely related to the Seidel eikonal of Schwarzschild, but unlike the latter it is defined in simple physical terms and is applicable whether the imaging of a point object or of an extended object is function is carried out in detail up to fourth order.

E. WoLF, "On a New Aberration Function of Optical Instruments," J. Opt. Soc. Am. 42, 547-549 (1952)

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  1. K. Schwarzschild, Astron. Mitt. Köngl. Sternwarte, Göttingen, 9, (1905).
  2. A detailed account of Schwarzschild's investigations will also be found in M. Born, Optik (Verlag. Julius Springer, Berlin, 1933). An extension of Schwarzschild's analysis to nonsymmetrical systems was made by G. D. Rabinovich, Akad. Nauk. SSSR, Zhurnal Eksper. Teor. Fiz. 16, 161 (1946).
  3. B. R. A. Nijboer, Physica 10, 679 (1943).
  4. B. R. A. Nijboer, Physica, 13, 605 (1947).
  5. H. H. Hopkins, Wave Theory of Aberrations (Oxford, Clarendon Press, 1950).
  6. H. H. Hopkins, Proc. Roy. Soc. (London) A208, 263 (1951).

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