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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 50, Iss. 4 — Apr. 1, 1960
  • pp: 388–393

Mirror-Image Kinematics

JOSEPH STILES BEGGS  »View Author Affiliations


JOSA, Vol. 50, Issue 4, pp. 388-393 (1960)
http://dx.doi.org/10.1364/JOSA.50.000388


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Abstract

A matrix [M] is derived for a system of plane first-surface mirrors which transforms a point or the direction cosines of a ray in the image space to the object space. If the general displacement of the mirror system is represented by the screw matrix [S], then the new position of a point image is given by the transformation [S][M][S]-l. This method facilitates designing the mirror supporting structure for minimum image shift due to structural deflections.

Citation
JOSEPH STILES BEGGS, "Mirror-Image Kinematics," J. Opt. Soc. Am. 50, 388-393 (1960)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-50-4-388

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