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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 15 — May. 20, 2012
  • pp: 3054–3058

Representation of freeform surfaces suitable for optimization

Akira Yabe  »View Author Affiliations


Applied Optics, Vol. 51, Issue 15, pp. 3054-3058 (2012)
http://dx.doi.org/10.1364/AO.51.003054


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Abstract

To represent the freeform surface shape, the axially asymmetric quadric and a new set of the orthogonal polynomials are introduced. In this representation, surface tilt, paraxial properties, and higher order surface shape are clearly separated. With this representation, the optimization process can be simple and efficient.

© 2012 Optical Society of America

OCIS Codes
(220.2740) Optical design and fabrication : Geometric optical design
(220.3620) Optical design and fabrication : Lens system design

ToC Category:
Optical Design and Fabrication

History
Original Manuscript: February 23, 2012
Manuscript Accepted: March 20, 2012
Published: May 18, 2012

Citation
Akira Yabe, "Representation of freeform surfaces suitable for optimization," Appl. Opt. 51, 3054-3058 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-15-3054


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References

  1. M. Born and E. Wolf, Principles of Optics (Pergamon, 1975).
  2. G. W. Forbes, “Characterizing the shape of freeform optics,” Opt. Express 20, 2483–2499 (2012). [CrossRef]
  3. P. Jester, C. Menke, and K. Urban, “B-spline representation of optical surfaces and its accuracy in a ray trace algorithm,” Appl. Opt. 50, 822–828 (2011). [CrossRef]
  4. K. H. Fuerschbach, K. P. Thompson, and J. P. Rolland, “A new generation of optical systems with ϕ-polynomial surfaces,” Proc. SPIE 7652, 76520C (2010). [CrossRef]
  5. K. H. Fuerschbach, J. P. Rolland, and K. P. Thompson, “Design with ϕ-polynomial surfaces,” Proc. SPIE 8167, 81670Z (2011). [CrossRef]
  6. A. Yabe, “Sensitivity control to surface irregularity,” Proc. SPIE 6342, 634225 (2006). [CrossRef]
  7. G. W. Forbes, “Shape specification for axially symmetric optical surfaces,” Opt. Express 15, 5218–5226 (2007). [CrossRef]
  8. R. N. Youngworth, “Tolerancing Forbes aspheres: advantage of an orthogonal basis,” Proc. SPIE 7433, 74330H (2009). [CrossRef]
  9. A. Yabe, “Construction method of axially asymmetric lenses,” Appl. Opt. 50, 3369–3374 (2011). [CrossRef]
  10. A. Yabe, “Method to allocate freeform surfaces in axially asymmetric optical systems,” Proc. SPIE 8167, 816703 (2011). [CrossRef]

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