OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 37, Iss. 31 — Nov. 1, 1998
  • pp: 7229–7234

Classification of stable configurations of plane mirrors

Yaakov Friedman and Naftali Schweitzer  »View Author Affiliations

Applied Optics, Vol. 37, Issue 31, pp. 7229-7234 (1998)

View Full Text Article

Enhanced HTML    Acrobat PDF (102 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We have studied the stability of systems of plane mirrors by using a new way to describe ray transformations caused by such systems. All stable systems comprising as many as three mirrors are described and classified. Besides the well-known corner cube, infinitely many stable retroreflecting and direction-preserving three-mirror systems have been found.

© 1998 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(220.2740) Optical design and fabrication : Geometric optical design

Original Manuscript: May 18, 1998
Revised Manuscript: July 21, 1998
Published: November 1, 1998

Yaakov Friedman and Naftali Schweitzer, "Classification of stable configurations of plane mirrors," Appl. Opt. 37, 7229-7234 (1998)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. L. Levi, Applied Optics (Wiley, New York, 1968), pp. 351, 363.
  2. R. C. Spencer, “Optical theory of corner reflector,” MIT Radiation Laboratory Report 433 (Massachusetts Institute of Technology, Cambridge, Mass., 1944).
  3. P. R. Yoder, “Study of light deviation errors in triple mirror and tetrahedral prisms,” J. Opt. Soc. Am. 48, 496–499 (1958). [CrossRef]
  4. K. N. Chandler, “On the effects of small errors in angles of corner-cube reflectors,” J. Opt. Soc. Am. 50, 203–206 (1960). [CrossRef]
  5. H. D. Eckhardt, “Simple model of corner reflector phenomena,” Appl. Opt. 10, 1559–1566 (1971). [CrossRef] [PubMed]
  6. M. Skop, D. Ben-Ezra, N. Schweitzer, “Adjustable stabilized reflector for optical communication,” in Proceedings of the IEEE Nineteenth Convention of Electrical and Electronics Engineers in Israel, Jerusalem (IEEE, New York, 1996), pp. 383–386. [CrossRef]
  7. J. S. Beggs, “Mirror-image kinematics,” J. Opt. Soc. Am. 50, 388–393 (1960). [CrossRef]
  8. R. Kingslake, Optical System Design (Academic, New York, 1983), pp. 153–154.
  9. N. Schweitzer, Y. Friedman, M. Skop, “Stability of systems of plane reflecting surfaces,” Appl. Opt. 37, 5190–5192 (1998). [CrossRef]
  10. R. E. Hopkins, “Mirror and prism systems,” in Applied Optics and Optical Engineering, R. Kingslake, ed. (Academic, San Diego, Calif., 1965), Vol 3, Chap. 7.
  11. R. E. Hopkins, “Mirror and prism systems,” in Military Standardization Handbook: Optical Design, MIL-HDBK 141 (U.S. Defense Supply Agency, Washington, D.C., 1962).
  12. E. A. Skorikov, “Conditions required for the stabilization of the direction of radiation of periscopic antennas,” Radiotekhnika 30, 9–14 (1974).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited