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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 29 — Oct. 10, 2014
  • pp: H129–H139

Investigation of a slope-point-based method for the design of aspheric surfaces in a catadioptric collimating optical system for a light-emitting diode source

Rung-Sheng Chen  »View Author Affiliations

Applied Optics, Vol. 53, Issue 29, pp. H129-H139 (2014)

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The aim of this paper is to develop a straightforward rigorous and flexible computational method to determine the coordinate points on an aspheric surface. The computational method chosen is based on the basic slope-point form of a straight-line equation [slope-point method (SPM)]. The practical instrumental example chosen to illustrate this method is a rotationally symmetric catadioptric collimator for a light-emitting diode (LED) source. This optical system has both a refractive and a totally internally reflective aspheric surface. It is a particularly illuminating example because it requires careful computational attention to the smooth transition between the refracting inner zones and the reflective outer zones of the aperture. The chosen SPM computational method deals satisfactorily with the transition points at the junction between the refractive and total internal reflecting (TIR) zones of the collimator. As part of this study, the effect of the position of the start point of the SPM surface evolution for the TIR zones of the collimator emerges as being particularly important, and the details of this are discussed. Finally, an extension of the basic SPM-based method is used to generalize the development of the catadioptric collimator surfaces to illustrate this general algorithm for aspheric surface design for an extended LED light source.

© 2014 Optical Society of America

OCIS Codes
(080.3620) Geometric optics : Lens system design
(220.0220) Optical design and fabrication : Optical design and fabrication
(220.4610) Optical design and fabrication : Optical fabrication
(220.2945) Optical design and fabrication : Illumination design
(220.4298) Optical design and fabrication : Nonimaging optics

Original Manuscript: May 5, 2014
Revised Manuscript: July 9, 2014
Manuscript Accepted: July 21, 2014
Published: August 22, 2014

Rung-Sheng Chen, "Investigation of a slope-point-based method for the design of aspheric surfaces in a catadioptric collimating optical system for a light-emitting diode source," Appl. Opt. 53, H129-H139 (2014)

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