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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 70, Iss. 9 — Sep. 1, 1980
  • pp: 1149–1152

Primary aberration-free imaging by three refracting surfaces

G. Schulz  »View Author Affiliations

JOSA, Vol. 70, Issue 9, pp. 1149-1152 (1980)

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We show that three refracting surfaces (two aspherical and one spherical surface) are sufficient to form, in air, a real image having any lateral magnification, and free from all five monochromatic primary (Seidel) aberrations. The way of finding such systems is described, and examples of them are given.

© 1980 Optical Society of America

G. Schulz, "Primary aberration-free imaging by three refracting surfaces," J. Opt. Soc. Am. 70, 1149-1152 (1980)

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  1. M. Born and E. Wolf, Principles of Optics, 2nd ed (Pergamon, New York, 1964), p. 150.
  2. M. Herzberger, Modern Geometrical Optics (Interscience, New York, London, 1958), Sec. 22; Ref. 1, pp. 149 and 169; and G. Schulz, Paradoxa aus der Optik (Barth, Leipzig, 1974), pp. 30–33 and 74–76.
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  13. Reference 5, pp. 133 and 135.
  14. Reference 1, Sec. 5.5.
  15. L. van der Waerden, Moderne Algebra II, (Springer, Berlin, 1931), Secs. 73–74.
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  17. Some of these parameters, especially s1, could be varied such that one or another of the properties of the solution is optimized. However, the purpose of this paper is not to find a relative or an absolute optimum, but to show the existence of an optical system having the property mentioned in the abstract. Therefore, in the following, only examples of such systems are shown.
  18. a4bi/8r3i is the distance between surface i and the ri sphere in axis direction at the height a from the axis; therefore, bi/8r3i is a measure of the asphericity of surface i.

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