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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 19 — Jul. 1, 2000
  • pp: 3216–3231

Imaging with three spherical mirrors

Joseph M. Howard and Bryan D. Stone  »View Author Affiliations


Applied Optics, Vol. 39, Issue 19, pp. 3216-3231 (2000)
http://dx.doi.org/10.1364/AO.39.003216


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Abstract

Unobstructed, plane-symmetric systems of three spherical mirrors are investigated. Twelve parameters are necessary to specify the configuration of such a system. Constraints are determined to eliminate four of these parameters as independent degrees of freedom. These constraints ensure appropriate first-order behavior and are used to aid in two example design studies—one for a class of systems with the object at infinity and another for a class of finite conjugate projection systems. For the first study, a portion of the associated merit-function space is systematically evaluated and plotted, and the results are compared with those obtained when a global optimizer is used. For the second study, a global optimizer is employed as the primary search tool. Example systems from both studies are presented.

© 2000 Optical Society of America

OCIS Codes
(080.2740) Geometric optics : Geometric optical design
(080.3620) Geometric optics : Lens system design
(220.2740) Optical design and fabrication : Geometric optical design
(220.3620) Optical design and fabrication : Lens system design
(230.4040) Optical devices : Mirrors

History
Original Manuscript: August 30, 1999
Revised Manuscript: January 21, 2000
Published: July 1, 2000

Citation
Joseph M. Howard and Bryan D. Stone, "Imaging with three spherical mirrors," Appl. Opt. 39, 3216-3231 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-19-3216

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