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

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References

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  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).

2005 (1)

S.  Kudaev P.  Schreiber, “Automated optimization of non-imaging optics for luminaries,” Proc. SPIE 5962, 87 (2005).
[CrossRef]

1998 (1)

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).

1965 (1)

V. K.  Baranov, “Properties of parabolotoric focons,” Opt. Mekh. Prom. No. 6, 1 (1965).

Baranov, V. K.

V. K.  Baranov, “Properties of parabolotoric focons,” Opt. Mekh. Prom. No. 6, 1 (1965).

Benítez, P.

R.  Winston, J.  Miñano, P.  Benítez, Nonimaging Optics (Academic Press, San Diego, CA, 2005).

Brent, R. P.

R. P.  Brent, Algorithms for Minimization Without Derivatives(Prentice-Hall, Englewood Cliffs, NJ, 1973).

Casciola, G.

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).

Glassner, A. S.

A. S.  Glassner, An Introduction to Ray Tracing (Academic Press, London, 1989).

Hill, J. M. D.

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).

Koshel, R. J.

R. J.  Koshel, Illumination Engineering: Design with Nonimaging Optics (Wiley & Sons, Hoboken, NJ, 2013).

Kudaev, S.

S.  Kudaev P.  Schreiber, “Automated optimization of non-imaging optics for luminaries,” Proc. SPIE 5962, 87 (2005).
[CrossRef]

Miñano, J.

R.  Winston, J.  Miñano, P.  Benítez, Nonimaging Optics (Academic Press, San Diego, CA, 2005).

Morigi, S.

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).

Morley, R. K.

P.  Shirley R. K.  Morley, Realistic Ray Tracing (A. K. Peters, Ltd., Natick, MA, 2003).

Piegl, L.

L.  Piegl W.  Tiller, The NURBS Handbook (Springer, Berlin, 1997).

Sanchez-Reyes, J.

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).

Schreiber, P.

S.  Kudaev P.  Schreiber, “Automated optimization of non-imaging optics for luminaries,” Proc. SPIE 5962, 87 (2005).
[CrossRef]

Shirley, P.

P.  Shirley R. K.  Morley, Realistic Ray Tracing (A. K. Peters, Ltd., Natick, MA, 2003).

Skillicorn, D. B.

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).

Tiller, W.

L.  Piegl W.  Tiller, The NURBS Handbook (Springer, Berlin, 1997).

Welford, W. T.

W. T.  Welford R.  Winston, High-Collection Nonimaging Optics(Academic Press, San Diego, CA, 1989).

Winston, R.

W. T.  Welford R.  Winston, High-Collection Nonimaging Optics(Academic Press, San Diego, CA, 1989).

R.  Winston, J.  Miñano, P.  Benítez, Nonimaging Optics (Academic Press, San Diego, CA, 2005).

Computer Aided Geometric Design (1)

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).

Opt. Mekh. Prom. (1)

V. K.  Baranov, “Properties of parabolotoric focons,” Opt. Mekh. Prom. No. 6, 1 (1965).

Proc. SPIE (1)

S.  Kudaev P.  Schreiber, “Automated optimization of non-imaging optics for luminaries,” Proc. SPIE 5962, 87 (2005).
[CrossRef]

Other (7)

R. P.  Brent, Algorithms for Minimization Without Derivatives(Prentice-Hall, Englewood Cliffs, NJ, 1973).

L.  Piegl W.  Tiller, The NURBS Handbook (Springer, Berlin, 1997).

A. S.  Glassner, An Introduction to Ray Tracing (Academic Press, London, 1989).

P.  Shirley R. K.  Morley, Realistic Ray Tracing (A. K. Peters, Ltd., Natick, MA, 2003).

R.  Winston, J.  Miñano, P.  Benítez, Nonimaging Optics (Academic Press, San Diego, CA, 2005).

R. J.  Koshel, Illumination Engineering: Design with Nonimaging Optics (Wiley & Sons, Hoboken, NJ, 2013).

W. T.  Welford R.  Winston, High-Collection Nonimaging Optics(Academic Press, San Diego, CA, 1989).

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