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Freeform lenses for illumination of specific shapes in (u,v) coordinate system

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Abstract

Lens for rectangular illumination has been designed in (u,v) coordinate system already. Because of light source in (u,v) coordinate system can be divided into two identical parts, we have found that it is possible to design lenses for illumination of specific shapes. Specific shapes include triangles, as well as quadrangles which can be divided into two equal-area parts by one of the diagonals. We partition two equal-area parts into grids separately with equivalent luminous flux as well as light source, after that we construct freeform lenses by ray mapping method. Simulation results show that lenses for illumination of specific shapes are obtained with a Lambertian point source and favorable efficiency is over 0.86.

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References

  1. Lin, K.C.: Freeform lens design for illumination with different luminance intensities. J. Comput. Sci. Syst. Biol. 8, 99–103 (2015)

    Article  Google Scholar 

  2. Parkyn, B., Pelka, D.: Free-form illumination lenses designed by a pseudo rectangular lawnmower algorithm. Proc. SPIE 633808, 1–7 (2006)

    Article  Google Scholar 

  3. Fournier, F.R., Cassarly, W.J., Rolland, J.P.: Fast freeform reflector generation using source-target maps. Opt. Express 18, 5295–5304 (2010)

    Article  ADS  Google Scholar 

  4. Schruben, J.S.: Formulation of a reflector-design problem for a lighting fixture. J. Opt. Soc. Am. 62, 1498–1501 (1972)

    Article  ADS  Google Scholar 

  5. Parkyn, W.A.: Illumination lenses designed by extrinsic differential geometry. Proc. SPIE 3482, 389–396 (1998)

    Article  ADS  Google Scholar 

  6. Wang, G.Z., Wang, L.L., Li, L., Wang, D.D., Zhang, Y.J.: Secondary optical lens designed in the method of source-target mapping. Appl. Opt. 50, 4031–4036 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  7. Wu, R.M., Wang, H.H., Liu, P., Zhang, Y.Q., Zheng, Z.R., Li, H.F., Liu, X.: Efficient optimal design of smooth optical freeform surfaces using ray targeting. Opt. Commun. 300, 100–107 (2013)

    Article  ADS  Google Scholar 

  8. Oliker, V., Rubinstein, J., Wolansky, G.: Ray mapping and illumination control. J. Photonics Energy. 3, 35599 (2013)

    Article  ADS  Google Scholar 

  9. Ma, D.L., Feng, Z.X., Liang, R.G.: Freeform illumination lens design using composite ray mapping. Appl. Opt. 54, 498–503 (2015)

    Article  ADS  Google Scholar 

  10. Oliker, V., Rubinstein, J., Wolansky, G.: Supporting quadric method in optical design of freeform lenses for illumination control of a collimated light. Adv. Appl. Math. 62, 160–183 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  11. Yu, G.Y., Dong, S.S., Ji, J., Guo, T.T.: A free-form total internal reflection (TIR) lens for illumination. Proc. SPIE 8321, 1–9 (2011)

    Google Scholar 

  12. Zheng, Z.R., Hao, X., Liu, X.: Freeform surface lens for LED uniform illumination. Appl. Opt. 48, 6627–6634 (2009)

    Article  ADS  Google Scholar 

  13. Ding, Y., Liu, X., Zheng, Z.R.: Freeform LED lens for uniform illumination. Opt. Express 16, 12958–12966 (2008)

    Article  ADS  Google Scholar 

  14. Wang, K., Liu, S., Chen, F., Liu, Z., Luo, X.: Freeform LED lens for rectangularly prescribed illumination. J. Opt. A Pure Appl. Opt. 11, 105501 (2009)

    Article  ADS  Google Scholar 

  15. Zhang, K., Su, C.Y., Feng, Z.Y., Wang, W.J., Zhang, C.H.: Freeform surface lens design for uniform illumination of a rectangular area. Lighting Res. Technol, pp. 1–7 (2014)

  16. Wang, L., Qian, K., Luo, Y.: Discontinuous free-form lens design for prescribed irradiance. Appl. Opt. 46, 3623–3716 (2007)

    Google Scholar 

  17. Luo, Y., Feng, Z.X., Han, Y., Li, H.T.: Design of compact and smooth free-form optical system with uniform illuminance for LED source. Opt. Express 18, 9055–9063 (2010)

    Article  ADS  Google Scholar 

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Correspondence to Dianhong Liu.

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Zhang, X., Liu, D. Freeform lenses for illumination of specific shapes in (u,v) coordinate system. Opt Rev 23, 77–83 (2016). https://doi.org/10.1007/s10043-015-0166-6

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  • DOI: https://doi.org/10.1007/s10043-015-0166-6

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