OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 36, Iss. 6 — Mar. 15, 2011
  • pp: 918–920

Cartesian oval representation of freeform optics in illumination systems

D. Michaelis, P. Schreiber, and A. Bräuer  »View Author Affiliations


Optics Letters, Vol. 36, Issue 6, pp. 918-920 (2011)
http://dx.doi.org/10.1364/OL.36.000918


View Full Text Article

Enhanced HTML    Acrobat PDF (366 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The geometrical method for constructing optical surfaces for illumination purpose developed by Oliker and co-workers [Trends in Nonlinear Analysis (Springer, 2003)] is generalized in order to obtain freeform designs in arbitrary optical systems. The freeform is created by a set of primitive surface elements, which are generalized Cartesian ovals adapted to the given optical system. Those primitives are determined by Hamiltonian theory of ray optics. The potential of this approach is demonstrated by some examples, e.g., freeform lenses with collimating front elements.

© 2011 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(080.2740) Geometric optics : Geometric optical design
(350.4600) Other areas of optics : Optical engineering
(080.4225) Geometric optics : Nonspherical lens design
(080.4298) Geometric optics : Nonimaging optics

History
Original Manuscript: January 12, 2011
Revised Manuscript: February 3, 2011
Manuscript Accepted: February 3, 2011
Published: March 10, 2011

Citation
D. Michaelis, P. Schreiber, and A. Bräuer, "Cartesian oval representation of freeform optics in illumination systems," Opt. Lett. 36, 918-920 (2011)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-36-6-918


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. C. Minano, P. Benitez, and A. Santamaria, Opt. Rev. 16, 99 (2009). [CrossRef]
  2. K. Mantel, D. Bachstein, and U. Peschel, Opt. Lett. 36, 199 (2011). [CrossRef] [PubMed]
  3. V. I. Oliker, in Trends in Nonlinear Analysis, M.Kirkilionis, ed. (Springer, 2003), pp. 193–224.
  4. D. L. Shealy, in Laser Beam Shaping, F.Dickey and S.Holswade, eds. (Dekker, 2000), pp. 164–213.
  5. H. Ries and J. Muschaweck, J. Opt. Soc. Am. A 19, 590 (2002). [CrossRef]
  6. W. Cassarly, in Handbook of Optics (McGraw-Hill, 2001), pp. 2.23–2.42.
  7. F. R. Fournier, W. J. Cassarly, and J. P. Rollanda, Proc. SPIE 7103, 71030I (2008). [CrossRef]
  8. R. K. Luneburg, Mathematical Theory of Optics (University of California, 1966).
  9. M. Born and E. Wolf, Principles of Optics (Cambridge University, 1999).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited