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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 10 — May. 7, 2012
  • pp: 10839–10846

Analytic free-form lens design in 3D: coupling three ray sets using two lens surfaces

Fabian Duerr, Pablo Benítez, Juan C. Miñano, Youri Meuret, and Hugo Thienpont  »View Author Affiliations


Optics Express, Vol. 20, Issue 10, pp. 10839-10846 (2012)
http://dx.doi.org/10.1364/OE.20.010839


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Abstract

The two-dimensional analytic optics design method presented in a previous paper [Opt. Express 20, 5576–5585 (2012)] is extended in this work to the three-dimensional case, enabling the coupling of three ray sets with two free-form lens surfaces. Fermat’s principle is used to deduce additional sets of functional differential equations which make it possible to calculate the lens surfaces. Ray tracing simulations demonstrate the excellent imaging performance of the resulting free-form lenses described by more than 100 coefficients.

© 2012 OSA

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(080.2740) Geometric optics : Geometric optical design

History
Original Manuscript: March 7, 2012
Revised Manuscript: April 13, 2012
Manuscript Accepted: April 18, 2012
Published: April 25, 2012

Citation
Fabian Duerr, Pablo Benítez, Juan C. Miñano, Youri Meuret, and Hugo Thienpont, "Analytic free-form lens design in 3D: coupling three ray sets using two lens surfaces," Opt. Express 20, 10839-10846 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-10-10839


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