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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: Stephen A. Burns
  • Vol. 22, Iss. 11 — Nov. 1, 2005
  • pp: 2454–2464

Geometrical theory of aberrations near the axis in classical off-axis reflecting telescopes

Seunghyuk Chang and Aluizio Prata, Jr.  »View Author Affiliations


JOSA A, Vol. 22, Issue 11, pp. 2454-2464 (2005)
http://dx.doi.org/10.1364/JOSAA.22.002454


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Abstract

A geometrical theory of aberrations for the vicinity of the focus of arbitrary off-axis sections of conic mirrors is derived. It is shown that an off-axis conic mirror introduces linear astigmatism in the image. However, in classical two-mirror telescopes this aberration can be eliminated by tilting the secondary parent mirror axis. It is also shown that the practical geometrical-optics performance of a classical off-axis two-mirror telescope with no linear astigmatism is equivalent to the performance of an on-axis system, proving that both systems have identical third-order coma. To demonstrate the applicability of the theory developed in a practical system, a fast (i.e., f ∕ 2 ), compact, obstruction-free classical off-axis Cassegrain telescope is designed.

© 2005 Optical Society of America

OCIS Codes
(080.1010) Geometric optics : Aberrations (global)
(110.6770) Imaging systems : Telescopes
(350.1260) Other areas of optics : Astronomical optics

ToC Category:
Atmospheric and ocean optics

History
Original Manuscript: March 24, 2005
Manuscript Accepted: April 26, 2005
Published: November 1, 2005

Citation
Seunghyuk Chang and Aluizio Prata, "Geometrical theory of aberrations near the axis in classical off-axis reflecting telescopes," J. Opt. Soc. Am. A 22, 2454-2464 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-11-2454

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