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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 18 — Aug. 27, 2012
  • pp: 20139–20155

Extending Nodal Aberration Theory to include mount-induced aberrations with application to freeform surfaces

Kyle Fuerschbach, Jannick P. Rolland, and Kevin P. Thompson  »View Author Affiliations

Optics Express, Vol. 20, Issue 18, pp. 20139-20155 (2012)

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This paper introduces the path forward for the integration of freeform optical surfaces, particularly those related to φ-polynomial surfaces, including Zernike polynomial surfaces, with nodal aberration theory. With this formalism, the performance of an optical system throughout the field of view can be anticipated analytically accounting for figure error, mount-induced errors, and misalignment. Previously, only misalignments had been described by nodal aberration theory, with the exception of one special case for figure error. As an example of these new results, three point mounting error that results in a Zernike trefoil deformation is studied for the secondary mirror of a two mirror and three mirror telescope. It is demonstrated that for the case of trefoil deformation applied to a surface not at the stop, there is the anticipated field constant contribution to elliptical coma (also called trefoil) as well as a newly identified field dependent contribution to astigmatism: field linear, field conjugate astigmatism. The magnitude of this astigmatic contribution varies linearly with the field of view; however, it has a unique variation in orientation with field that is described mathematically by a concept that is unique to nodal aberration theory known as the field conjugate vector.

© 2012 OSA

OCIS Codes
(080.1010) Geometric optics : Aberrations (global)
(110.6770) Imaging systems : Telescopes
(080.4228) Geometric optics : Nonspherical mirror surfaces

ToC Category:
Geometric Optics

Original Manuscript: June 22, 2012
Revised Manuscript: August 10, 2012
Manuscript Accepted: August 10, 2012
Published: August 20, 2012

Kyle Fuerschbach, Jannick P. Rolland, and Kevin P. Thompson, "Extending Nodal Aberration Theory to include mount-induced aberrations with application to freeform surfaces," Opt. Express 20, 20139-20155 (2012)

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