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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 18 — Jun. 20, 2010
  • pp: 3442–3451

Ray-tracing simulation method using piecewise quadratic interpolant for aspheric optical systems

Shin-ya Morita, Yohei Nishidate, Takashi Nagata, Yutaka Yamagata, and Cristian Teodosiu  »View Author Affiliations


Applied Optics, Vol. 49, Issue 18, pp. 3442-3451 (2010)
http://dx.doi.org/10.1364/AO.49.003442


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Abstract

We present a new method for precise ray-tracing simulation considering form errors in the fabrication process of aspheric lenses. The Nagata patch, a quadratic interpolant for surface meshes using normal vectors, is adopted for representing the lens geometry with mid-spectral frequencies of surface profile errors. Several improvements in the ray–patch intersection calculation and its acceleration technique are also proposed. The developed algorithm is applied to ray-tracing simulation of optical disk pick-up aspheric objectives, and this technique requires 10 5 to 10 9 times fewer patches than a polygonal approximation. The simulation takes only several seconds on a standard PC.

© 2010 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(080.0080) Geometric optics : Geometric optics
(220.1250) Optical design and fabrication : Aspherics
(220.2740) Optical design and fabrication : Geometric optical design
(240.0240) Optics at surfaces : Optics at surfaces
(080.1753) Geometric optics : Computation methods

History
Original Manuscript: March 18, 2010
Manuscript Accepted: May 3, 2010
Published: June 10, 2010

Citation
Shin-ya Morita, Yohei Nishidate, Takashi Nagata, Yutaka Yamagata, and Cristian Teodosiu, "Ray-tracing simulation method using piecewise quadratic interpolant for aspheric optical systems," Appl. Opt. 49, 3442-3451 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-18-3442

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