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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 22 — Aug. 1, 1998
  • pp: 5190–5192

Stability of systems of plane reflecting surfaces

Naftali Schweitzer, Yaakov Friedman, and Michael Skop  »View Author Affiliations


Applied Optics, Vol. 37, Issue 22, pp. 5190-5192 (1998)
http://dx.doi.org/10.1364/AO.37.005190


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Abstract

A general rule for the stability of plane reflecting surface systems is derived by use of the features of the reflection matrix. It is proved that only two directions can be stable: the forward direction and the backward direction (retroreflection). Examples for the application of this rule in the design of stable reflecting systems for optical communication are given.

© 1998 Optical Society of America

OCIS Codes
(120.5700) Instrumentation, measurement, and metrology : Reflection
(230.4040) Optical devices : Mirrors

History
Original Manuscript: December 3, 1997
Revised Manuscript: February 3, 1998
Published: August 1, 1998

Citation
Naftali Schweitzer, Yaakov Friedman, and Michael Skop, "Stability of systems of plane reflecting surfaces," Appl. Opt. 37, 5190-5192 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-22-5190


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References

  1. R. Kingslake, Optical System Design (Academic, New York, 1983), pp. 153–154.
  2. L. Levi, Applied Optics (Wiley, New York, 1968), pp. 351, 363.
  3. E. Hecht, Optics, 2nd ed. (Addison-Wesley, Reading, Mass., 1987), p. 169.
  4. J. L. Synge, “Reflection in a corner formed by three plane mirrors,” Quart. Appl. Math. 4, 166–176 (1946).
  5. P. R. Yoder, “Study of light deviation errors in triple mirror and tetrahedral prisms,” J. Opt. Soc. Am. 48, 496–499 (1958). [CrossRef]
  6. K. N. Chandler, “On the effect of small errors in angles of corner-cube reflectors,” J. Opt. Soc. Am. 50, 203–206 (1960). [CrossRef]
  7. H. D. Eckhardt, “Simple model of corner reflector phenomena,” Appl. Opt. 10, 1559–1566 (1971). [CrossRef] [PubMed]
  8. M. Skop, D. Ben-Ezra, N. Schweitzer, “Adjustable stabilized reflector for optical communication,” Proceedings of the IEEE 19th Convention of Electrical and Electronics Engineers in Israel, (IEEE, New York, 1996), pp. 383–386. [CrossRef]
  9. J. S. Beggs, “Mirror-imaging kinematics,” J. Opt. Soc. Am. 50, 388–393 (1960). [CrossRef]

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