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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 1 — Jan. 1, 2011
  • pp: 66–73

Geometric theory of wavefront aberrations in an off-axis spherical mirror

Armando Gomez-Vieyra and Daniel Malacara-Hernández  »View Author Affiliations

Applied Optics, Vol. 50, Issue 1, pp. 66-73 (2011)

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We present, analyze, and evaluate expressions for the wavefront aberrations in an off-axis spherical mirror. These formulas are derived from the optical path difference between an ellipsoid and a sphere, assuming a relatively small pupil and a small angle of incidence, as will be described in detail. Some well-known and also some useful new aberration expressions are obtained. They can be used to design and analyze cavities, spectrographs, and retinal adaptive optics imaging systems.

© 2010 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(220.2740) Optical design and fabrication : Geometric optical design
(080.1005) Geometric optics : Aberration expansions
(080.4035) Geometric optics : Mirror system design

Original Manuscript: November 2, 2010
Manuscript Accepted: November 3, 2010
Published: December 23, 2010

Armando Gomez-Vieyra and Daniel Malacara-Hernández, "Geometric theory of wavefront aberrations in an off-axis spherical mirror," Appl. Opt. 50, 66-73 (2011)

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