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Optics Letters

Optics Letters

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  • 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


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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

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