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Journal of Optical Technology

Journal of Optical Technology

| SIMULTANEOUS RUSSIAN-ENGLISH PUBLICATION

  • Vol. 80, Iss. 4 — Apr. 1, 2013
  • pp: 259–262

Using Bezier curves in the automatic design of nonimaging optical systems

A. A. Trofimuk  »View Author Affiliations


Journal of Optical Technology, Vol. 80, Issue 4, pp. 259-262 (2013)
http://dx.doi.org/10.1364/JOT.80.000259


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Abstract

This letter shows how to use Bezier curves in the design of nonimaging reflectors and lenses. The curve is simplified to increase the ray-tracing rate. A program library is created that describes objects on the basis of Bezier curves, using the zemax system. A technique for optimizing and calculating the secondary optics of LEDs is considered.

© 2013 Optical Society of America

OCIS Codes
(220.2945) Optical design and fabrication : Illumination design
(080.4295) Geometric optics : Nonimaging optical systems

History
Original Manuscript: February 19, 2013
Published: May 8, 2013

Citation
A. A. Trofimuk, "Using Bezier curves in the automatic design of nonimaging optical systems," J. Opt. Technol. 80, 259-262 (2013)
http://www.opticsinfobase.org/jot/abstract.cfm?URI=jot-80-4-259


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References

  1. W. T.  Welford R.  Winston, High-Collection Nonimaging Optics(Academic Press, San Diego, CA, 1989).
  2. V. K.  Baranov, “Properties of parabolotoric focons,” Opt. Mekh. Prom. No. 6, 1 (1965).
  3. R.  Winston, J.  Miñano, P.  Benítez, Nonimaging Optics (Academic Press, San Diego, CA, 2005).
  4. S.  Kudaev P.  Schreiber, “Automated optimization of non-imaging optics for luminaries,” Proc. SPIE 5962, 87 (2005). [CrossRef]
  5. R. P.  Brent, Algorithms for Minimization Without Derivatives(Prentice-Hall, Englewood Cliffs, NJ, 1973).
  6. L.  Piegl W.  Tiller, The NURBS Handbook (Springer, Berlin, 1997).
  7. A. S.  Glassner, An Introduction to Ray Tracing (Academic Press, London, 1989).
  8. P.  Shirley R. K.  Morley, Realistic Ray Tracing (A. K. Peters, Ltd., Natick, MA, 2003).
  9. J. M. D.  Hill, D. B.  Skillicorn, G.  Casciola, S.  Morigi, J.  Sanchez-Reyes, “Degree elevation for p-Bezier curves,” Computer Aided Geometric Design 15, No. 4, 313 (1998).
  10. R. J.  Koshel, Illumination Engineering: Design with Nonimaging Optics (Wiley & Sons, Hoboken, NJ, 2013).

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