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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 6, Iss. 3 — Mar. 1, 1967
  • pp: 537–544

Operator Formulation of Plane Mirror Systems

Robert W. Schmieder  »View Author Affiliations


Applied Optics, Vol. 6, Issue 3, pp. 537-544 (1967)
http://dx.doi.org/10.1364/AO.6.000537


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Abstract

A terminology limited to point objects is introduced to distinguish between finite and infinite, transparent and opaque mirrors. A basic image-producing operator is defined, and its properties are examined in detail. An operational form of the basic operator is derived, two general definitions are presented, and a formal expression for the images of a system of plane mirrors is written. Some simple systems are analyzed in detail to illustrate the applications of the theory. Finally, indication is given of possible directions for future development of the subject, and of its relationship to existing mathematical theories.

© 1967 Optical Society of America

History
Original Manuscript: August 25, 1966
Published: March 1, 1967

Citation
Robert W. Schmieder, "Operator Formulation of Plane Mirror Systems," Appl. Opt. 6, 537-544 (1967)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-6-3-537

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