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Light shaping for illumination

  • Rolf Wester

    Rolf Wester is a scientist at the Fraunhofer ILT in Aachen. He received his Diploma (MSc) in Physics in 1983 from the Technical University of Darmstadt and his Doctorate (PhD) in 1987 from the RWTH Aachen. In the same year he changed from the RWTH to the Fraunhofer ILT where he continued working on high frequency excitation of gas lasers. In recent years, his field of research interest switched to optics. He is now mainly concerned with the development of simulation software for physical optics problems and of numerical design tools for freeform optical elements.

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    and Axel Bäuerle

    Axel Bäuerle received his MSc in Physics in 2008 from Imperial College, London (UK), working on high-power solid lasers. He joined RWTH Aachen University and Fraunhofer ILT in 2009, where he is a scientist working on algorithms to design freeform optical surfaces.

Published/Copyright: August 3, 2013
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Abstract

The ever-increasing use of LED as a solid-state light source in general and specialized lighting has pushed the field of optics further for illumination towards sophistication and high precision. In this paper, we provide an overview of this domain, starting with a formulation of the underlying, fundamental mathematical problem, which in itself is not easily and directly solvable. We then describe various algorithms that have been developed as approximations for specialized cases, providing references to the relevant publications. Finally, two examples show the new possibilities in light shaping that have been made possible through the use of nonimaging freeform optics.


Corresponding author: Rolf Wester, Fraunhofer Institute for Laser Technology ILT, Steinbachstr. 15, 52074 Aachen, Germany

About the authors

Rolf Wester

Rolf Wester is a scientist at the Fraunhofer ILT in Aachen. He received his Diploma (MSc) in Physics in 1983 from the Technical University of Darmstadt and his Doctorate (PhD) in 1987 from the RWTH Aachen. In the same year he changed from the RWTH to the Fraunhofer ILT where he continued working on high frequency excitation of gas lasers. In recent years, his field of research interest switched to optics. He is now mainly concerned with the development of simulation software for physical optics problems and of numerical design tools for freeform optical elements.

Axel Bäuerle

Axel Bäuerle received his MSc in Physics in 2008 from Imperial College, London (UK), working on high-power solid lasers. He joined RWTH Aachen University and Fraunhofer ILT in 2009, where he is a scientist working on algorithms to design freeform optical surfaces.

This work has partly been funded by the German Federal Ministry of Education and Research (BMBF) within its program on freeform optics (grant numbers 13N10832, 13N10833).

References

[1] J. C. Miñano and P. Benítez, Proc. SPIE 3781, 2–11 (1999).Search in Google Scholar

[2] M. Born and E. Wolf, in ‘Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light’ (Cambridge University Press, Cambridge, 1999), 440–442.Search in Google Scholar

[3] R. Courant and D. Hilbert, in ‘Methoden der Mathematischen Physik II’, 2nd ed., Vol. Band 31, Heidelberger Taschenbücher (Springer, Heidelberg, 1968), p. 277.10.1007/978-3-662-00844-7Search in Google Scholar

[4] L. Marder, Proc. R. Soc. Lond. A Math. Phys. Sci. 378, 529–538 (1981).Search in Google Scholar

[5] S. A. Kochengin and V. I. Oliker, Inverse Probl. 13, 363–373 (1997).Search in Google Scholar

[6] S. Bäumer, Ed., in ‘Handbook of Plastic Optics’, 2nd ed. (Wiley-VCH, Weinheim, 2010), 35–66.10.1002/9783527635443Search in Google Scholar

[7] L. Piegl and W. Tiller, in ‘The NURBS Book’ (Springer, Berlin/Heidelberg, 1997), p. 100.10.1007/978-3-642-59223-2Search in Google Scholar

[8] M. S. Floater, in ‘Computer Aided Geometric Design’, 14.3, 231–250 (1997).10.1016/S0167-8396(96)00031-3Search in Google Scholar

[9] W. A. Parkyn, Proc. SPIE 3428, 154–162 (1998).Search in Google Scholar

[10] J. Miñano, P. Benítez, W. Lin, F. Muñoz, J. Infante, et al., Proc. SPIE 7429, 74290C-1–74290C-8 (2009).Search in Google Scholar

[11] J. C. Miñano, P. Benítez and A. Santamaría, Opt. Rev. 16.2, 99–102 (2009).Search in Google Scholar

[12] P. Benítez, J.-C. Miñano, J. Blen, R. Mohedano, J. Chaves, et al., Opt. Eng. 43.7, 1489–1502 (2004).Search in Google Scholar

[13] J. S. Schruben, J. Opt. Soc. Am. 62.12, 1498–1501 (1972).Search in Google Scholar

[14] H. Ries and J. Muschaweck, J. Opt. Soc. Am. A 19.3, 590–595 (2002).10.1364/JOSAA.19.000590Search in Google Scholar PubMed

[15] A. Bruneton, A. Bäuerle, M. Traub, R. Wester and P. Loosen, Proc. SPIE 8485, 84850H (2012).Search in Google Scholar

[16] V. I. Oliker, Inverse Probl. 5, 51–65 (1989).10.1088/0266-5611/5/1/008Search in Google Scholar

[17] S. Kochengin, V. Oliker and O. von Tempski, Inverse Probl. 14, 661–678 (1998).10.1088/0266-5611/14/3/016Search in Google Scholar

[18] L. A. Caffarelli, S. A. Kochengin and V. I. Oliker, Contemp. Math. 226, 13–32 (1999).Search in Google Scholar

[19] V. Oliker, Proc. SPIE Int. Opt. Des. Conf. 6342, 634211-1–634211-12 (2006).Search in Google Scholar

[20] L. Wang, K. Qian and Y. Luo, Appl. Opt. 46.18, 3716–3723 (2007).10.1364/AO.46.003716Search in Google Scholar

[21] K. Wang, S. Liu, F. Chen, Z. Qin, Z. Liu, et al., J. Opt. A Pure Appl. Opt. 11, 105501 (2009).Search in Google Scholar

[22] A. Bäuerle, A. Bruneton, R. Wester, J. Stollenwerk and P. Loosen, Opt. Express 20.13, 14477–14485 (2012).10.1364/OE.20.014477Search in Google Scholar PubMed

[23] R.-J. M. W. Gangbo, Acta Math. 177, 113–161 (1996).10.1007/BF02392620Search in Google Scholar

[24] F. R. Fournier, W. J. Cassarly and J. P. Rolland, Proc. SPIE 7423, 742302 (2009).Search in Google Scholar

[25] F. R. Fournier, W. J. Cassarly and J. P. Rolland, in ‘International Optical Design Conference and Optical Fabrication and Testing’ (Optical Society of America, 2010) IWB4.Search in Google Scholar

[26] F. R. Fournier, W. J. Cassarly and J. P. Rolland, Opt. Express 18, 5295–5304 (2010).10.1364/OE.18.005295Search in Google Scholar PubMed

[27] J. Nam and J. Rubinstein, J. Opt. Soc. Am. A 25, 1697–1709 (2008).Search in Google Scholar

[28] J. Rubinstein and G. Wolansky, Opt. Rev. 8, 281–283 (2001).Search in Google Scholar

[29] A. Bruneton, A. Bäuerle, R. Wester, J. Stollenwerk and P. Loosen, Opt. Lett. 38.11, 1945–1947 (2013).10.1364/OL.38.001945Search in Google Scholar PubMed

[30] B. Parkyn and D. Pelka, Proc. SPIE 6338, 633808-1–633808-7 (2006).Search in Google Scholar

[31] F. R. Fournier, W. J. Cassarly and J. P. Rolland, Proc. SPIE 7103, 710301-1–710301-10 (2008).Search in Google Scholar

[32] J. Bortz and N. Shatz, Proc. SPIE 6670, 66700A (2007).Search in Google Scholar

[33] A. Bruneton, A. Bäuerle, R. Wester, J. Stollenwerk and P. Loosen, Opt. Express 21.9, 10563–10571 (2013).10.1364/OE.21.010563Search in Google Scholar PubMed

[34] T. Nakai and H. Ogawa, in ‘Diffractive Optics and Micro-Optics’ (Optical Society of America, 2002) DMA2.Search in Google Scholar

[35] M. Hernández, A. Cvetkovic, P. Benítez and J. C. Miñano, Proc. SPIE 7059, 705908 (2008).Search in Google Scholar

Received: 2013-5-24
Accepted: 2013-7-4
Published Online: 2013-08-03
Published in Print: 2013-08-01

©2013 by THOSS Media & De Gruyter Berlin Boston

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