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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 2 — Feb. 1, 1998
  • pp: 437–442

Structure of the modern schiefspiegler. I. Pseudo axis, magnification, and distortion

Orestes N. Stavroudis and Ricardo Flores Hernandez  »View Author Affiliations


JOSA A, Vol. 15, Issue 2, pp. 437-442 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000437


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Abstract

The modern schiefspiegler is an optical system consisting of two prolate spheroid mirrors coupled by conjoining the distal focus of the first spheroid with the proximal focus of the second. A ray through the proximal focus of the first spheroid must, after reflection, pass through the common focus and then, after a second reflection, through the distal focus of the second spheroid. The pseudo axis is such a ray with the property that all other meridional rays are symmetric about it. The entrance and the exit pupils are perpendicular to the pseudo axis and are located, respectively, at the first proximal focus and the second distal focus. Therefore rays through the foci are chief rays. It is shown that all chief rays are symmetric with respect to the pseudo axis and that, therefore, magnification is uniform for all object points. An expression for magnification is obtained that leads to a distortion function that depends only on magnification.

© 1998 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(080.2740) Geometric optics : Geometric optical design
(110.6770) Imaging systems : Telescopes
(120.5700) Instrumentation, measurement, and metrology : Reflection
(220.1250) Optical design and fabrication : Aspherics

History
Original Manuscript: May 1, 1997
Revised Manuscript: August 28, 1997
Manuscript Accepted: September 17, 1997
Published: February 1, 1998

Citation
Orestes N. Stavroudis and Ricardo Flores Hernandez, "Structure of the modern schiefspiegler. I. Pseudo axis, magnification, and distortion," J. Opt. Soc. Am. A 15, 437-442 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-2-437


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References

  1. A. Kutter, Der Schiefspiegler (Biberacher Verlagsdruckerei, Biberach an der Riss, Germany, 1953).
  2. G. A. Korn, T. M. Korn, Mathematical Handbook for Scientists and Engineers, 2nd ed. (McGraw-Hill, New York, 1968), p. 48.
  3. O. N. Stavroudis, A. J. Ames, “Confocal prolate spheroids in an off-axis system,” J. Opt. Soc. Am. A 9, 2083–2088 (1992). [CrossRef]
  4. O. N. Stavroudis, “Schiefspiegler: an off-axis reflecting optical system,” Opt. Eng. 33, 116–124 (1994). [CrossRef]
  5. R. A. Buchroeder, “Tilted component optical systems,” Ph.D. dissertation (Optical Sciences Center, University of Arizona, Tucson, Arizona, 1976).

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