УДК: 535.317, 628.931

Using Bezier curves in the automatic design of nonimaging optical systems

Publication in Journal of Optical Technology

For Russian citation (Opticheskii Zhurnal):

Трофимук А.А. Применение кривых Безье при автоматизированном расчете неизображающих оптических систем // Оптический журнал. 2013. Т. 80. № 4. С. 75–79.

Trofimuk A.A. Using Bezier curves in the automatic design of nonimaging optical systems [in Russian] // Opticheskii Zhurnal. 2013. V. 80. № 4. P. 75–79.

For citation (Journal of Optical Technology):

A. A. Trofimuk, "Using Bezier curves in the automatic design of nonimaging optical systems," Journal of Optical Technology. 80(4), 259-262 (2013). https://doi.org/10.1364/JOT.80.000259

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.

Keywords:

optimization, Bezier curve, reflector, nonsequential ray tracing, light emitting diode

OCIS codes: 080.4295 220.2945

References:

1. W. T. Welford and 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, and P. Benítez, Nonimaging Optics (Academic Press, San Diego, CA, 2005).
4. S. Kudaev and P. Schreiber, “Automated optimization of non-imaging optics for luminaries,” Proc. SPIE 5962, 87 (2005).
5. R. P. Brent, Algorithms for Minimization Without Derivatives (Prentice-Hall, Englewood Cliffs, NJ, 1973).
6. L. Piegl and W. Tiller, The NURBS Handbook (Springer, Berlin, 1997).
7. A. S. Glassner, An Introduction to Ray Tracing (Academic Press, London, 1989).
8. P. Shirley and 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, and 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).