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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 31, Iss. 9 — Sep. 1, 2014
  • pp: 2011–2020

Realization of first-order optical systems using thin convex lenses of fixed focal length

P. A. Ameen Yasir and J. Solomon Ivan  »View Author Affiliations


JOSA A, Vol. 31, Issue 9, pp. 2011-2020 (2014)
http://dx.doi.org/10.1364/JOSAA.31.002011


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Abstract

A general axially symmetric first-order optical system is realized using free propagation and thin convex lenses of fixed focal length. It is shown that not more than five convex lenses of fixed focal length are required to realize the most general first-order optical system, with the required number of lenses depending on the situation. The free propagation distances are evaluated explicitly in each situation. The optimality of the decomposition obtained in each situation is brought out. Decompositions for some familiar subgroups of SL2(R) are also worked out. Convex or concave lenses of arbitrary focal length are realized using three or two convex lenses of fixed focal length, respectively. It is further shown that three convex lenses of arbitrary focal length are sufficient to realize the most general first-order optical system.

© 2014 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.2590) Fourier optics and signal processing : ABCD transforms
(080.2730) Geometric optics : Matrix methods in paraxial optics
(080.3620) Geometric optics : Lens system design
(080.2468) Geometric optics : First-order optics

ToC Category:
Geometric Optics

History
Original Manuscript: April 8, 2014
Revised Manuscript: June 28, 2014
Manuscript Accepted: July 14, 2014
Published: August 20, 2014

Citation
P. A. Ameen Yasir and J. Solomon Ivan, "Realization of first-order optical systems using thin convex lenses of fixed focal length," J. Opt. Soc. Am. A 31, 2011-2020 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-9-2011

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