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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 37, Iss. 18 — Sep. 15, 2012
  • pp: 3852–3854

Direct calculation algorithm for two-dimensional reflector design

Cristina Canavesi, William J. Cassarly, and Jannick P. Rolland  »View Author Affiliations


Optics Letters, Vol. 37, Issue 18, pp. 3852-3854 (2012)
http://dx.doi.org/10.1364/OL.37.003852


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Abstract

We have developed a fast algorithm to design two-dimensional reflector surfaces that ties together the supporting paraboloids, linear programming, and numerical integration methods. The algorithm builds upon the properties of conics and is shown to be several orders of magnitude faster than the supporting paraboloids and linear programming methods. The scalability and ease of implementation of the algorithm are discussed.

© 2012 Optical Society of America

OCIS Codes
(080.1753) Geometric optics : Computation methods
(220.2945) Optical design and fabrication : Illumination design
(080.4228) Geometric optics : Nonspherical mirror surfaces
(080.4298) Geometric optics : Nonimaging optics

ToC Category:
Geometric Optics

History
Original Manuscript: July 5, 2012
Manuscript Accepted: July 29, 2012
Published: September 12, 2012

Citation
Cristina Canavesi, William J. Cassarly, and Jannick P. Rolland, "Direct calculation algorithm for two-dimensional reflector design," Opt. Lett. 37, 3852-3854 (2012)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-37-18-3852


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References

  1. L. A. Caffarelli, S. A. Kochengin, and V. I. Oliker, Contemp Math. 226, 13 (1999). [CrossRef]
  2. X.-J. Wang, Calc. Var. 20, 329 (2004). [CrossRef]
  3. T. Glimm and V. Oliker, J. Math. Sci. 117, 4096 (2003). [CrossRef]
  4. W. B. Elmer, The Optical Design of Reflectors, 2nd ed.(Wiley, 1980).
  5. F. R. Fournier, W. J. Cassarly, and J. P. Rolland, Proc. SPIE 7423, 742302 (2009). [CrossRef]
  6. C. Canavesi, W. J. Cassarly, and J. P. Rolland, Opt. Express 20, 4050 (2012). [CrossRef]
  7. F. R. Fournier, W. J. Cassarly, and J. P. Rolland, Opt. Express 18, 5295 (2010). [CrossRef]

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