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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. 29, Iss. 9 — Sep. 1, 2012
  • pp: 1977–1985

Caustics in a meridional plane produced by concave conic mirrors

Samuel Maca-García, Maximino Avendaño-Alejo, and Luis Castañeda  »View Author Affiliations


JOSA A, Vol. 29, Issue 9, pp. 1977-1985 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001977


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Abstract

We study the formation of caustic surfaces produced by a concave conic mirror considering a point source placed at arbitrary position along the optical axis. Using the caustic formula and a paraxial approximation, we derive analytic expressions to evaluate the spherical aberration at the third order. A formula to reduce this aberration at any order is provided, which gives the condition for stigmatic points. Furthermore, we apply the formulas to evaluate the circle of least confusion for a concave conic mirror as a function of all parameters involved in the process of reflection.

© 2012 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(080.2740) Geometric optics : Geometric optical design
(080.1005) Geometric optics : Aberration expansions

History
Original Manuscript: June 21, 2012
Manuscript Accepted: July 17, 2012
Published: August 29, 2012

Citation
Samuel Maca-García, Maximino Avendaño-Alejo, and Luis Castañeda, "Caustics in a meridional plane produced by concave conic mirrors," J. Opt. Soc. Am. A 29, 1977-1985 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-9-1977

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