Startseite SMS freeforms for illumination
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

SMS freeforms for illumination

  • Pablo Benitez

    Pablo Benítez received his PhD degree in Nonimaging Optics from the Technical University of Madrid (UPM) in 1998 and Bachelor degrees in Telecommunication Engineering from UPM and Mathematics from Complutense University of Madrid (UCM), both in 1993. He has been an Associate Professor at UPM since 1999. His area of research ranges from optical design to manufacturing and applications, mainly concentrating on photovoltaics and solid state lighting. He has co-authored the book ‘Nonimaging Optics’ (Elsevier, 2004). He is co-inventor of the SMS optical design method and in particular SMS 3D for freeform optics design and freeform Köhler array devices. He is an SPIE fellow since 2012.

    EMAIL logo
    , Juan C. Miñano

    Juan-Carlos Miñano has been involved in Nonimaging Optics since the 1980s, mainly applied to LED lighting, optoelectronics and photovoltaic solar energy. He developed the Poisson-Bracket and the SMS design methods. His work has progressed from theoretical development to the commercial product. He has published more than 50 journal papers, given more than 200 Congress presentations, obtained more than 40 patents and written several books. Since 1997, he is Professor at the Universidad Politécnica de Madrid, and since 2000 he also collaborates as a Senior Scientist in LPI. He is an SPIE fellow and in 2010 was awarded with the prestigious A.E. Conrady Award of the SPIE.

    , Julio Chaves

    Julio Chaves received his PhD in physics from the Instituto Superior Técnico, Universidade Técnica de Lisboa, Portugal in 2002. Chaves did postgraduate work during 2002 at Universidad Politécnica de Madrid, and in 2003 he moved to California, CA, USA and joined LPI. In 2006, he moved back to Madrid, Spain, and since then has been working with LPI-Europe. Chaves is the author of the book ‘Introduction to Nonimaging Optics’ and is the main author of the chapter on ‘Solar concentrators’ in the book ‘Illumination Engineering: Design with Nonimaging Optics’. He has developed several new concepts, such as stepped flow-line optics, ideal light confinement by caustics, new Fresnel solar concentrators for multiple receivers, among others. He was the co-inventor of several patents and the co-author of many papers in the field of Nonimaging Optics. He also participated in the early development of the simultaneous multiple surface design method in three-dimensional geometry.

    und Asunción Santamaría

    Asunción Santamaría received her Telecommunication Engineering degree from the Technical University of Madrid (UPM) in 1989, and her PhD degree in 1994 from the same University. She is Associate Professor at UPM-Telecommunication School since 1995. She has participated in more than 60 R&D projects (leading 30 of them), several of them belonging to the European Commission ESPRIT and ICT programs and to the European Space Agency. She is author or co-author of more than 25 scientific papers and books and more than 45 conference papers. She has been a member of the Technical Reviewers Staff of IEEE and ASTED journals and conferences and a member of the Technical Reviewers Committee of Spanish National R&D Programs. Since 2005, she is the Director of CeDInt-UPM R&D Center. She is an IEEE Communications Society Member.

Veröffentlicht/Copyright: 3. August 2013
Veröffentlichen auch Sie bei De Gruyter Brill

Abstract

SMS 3D (simultaneous multiple surfaces in their three-dimensional version) is a well-known design method comprising two freeform surfaces that allow the perfect coupling of two wavefronts with another two. The design algorithm provides a collection of line pairs on both surfaces (called SMS spines), whose three-dimensional shape seems arbitrary at first sight. This paper shows that the shapes of the spines are partially governed by applying the étendue conservation theorem to the biparametric bundle of rays linking the paired spines, which is one lesser known étendue invariants found by Poincaré. The resulting formulae for the spines in three-dimensional space happen to coincide with the conventional étendue formulas of two-dimensional geometry, like for instance, the Hottel formula.


Corresponding author: Pablo Benitez, Technical University of Madrid, Campus de Montegancedo, 28223, Pozuelo, Madrid, Spain; and LPI, 2400 Lincoln Avenue, Altadena, CA 91001, USA

About the authors

Pablo Benitez

Pablo Benítez received his PhD degree in Nonimaging Optics from the Technical University of Madrid (UPM) in 1998 and Bachelor degrees in Telecommunication Engineering from UPM and Mathematics from Complutense University of Madrid (UCM), both in 1993. He has been an Associate Professor at UPM since 1999. His area of research ranges from optical design to manufacturing and applications, mainly concentrating on photovoltaics and solid state lighting. He has co-authored the book ‘Nonimaging Optics’ (Elsevier, 2004). He is co-inventor of the SMS optical design method and in particular SMS 3D for freeform optics design and freeform Köhler array devices. He is an SPIE fellow since 2012.

Juan C. Miñano

Juan-Carlos Miñano has been involved in Nonimaging Optics since the 1980s, mainly applied to LED lighting, optoelectronics and photovoltaic solar energy. He developed the Poisson-Bracket and the SMS design methods. His work has progressed from theoretical development to the commercial product. He has published more than 50 journal papers, given more than 200 Congress presentations, obtained more than 40 patents and written several books. Since 1997, he is Professor at the Universidad Politécnica de Madrid, and since 2000 he also collaborates as a Senior Scientist in LPI. He is an SPIE fellow and in 2010 was awarded with the prestigious A.E. Conrady Award of the SPIE.

Julio Chaves

Julio Chaves received his PhD in physics from the Instituto Superior Técnico, Universidade Técnica de Lisboa, Portugal in 2002. Chaves did postgraduate work during 2002 at Universidad Politécnica de Madrid, and in 2003 he moved to California, CA, USA and joined LPI. In 2006, he moved back to Madrid, Spain, and since then has been working with LPI-Europe. Chaves is the author of the book ‘Introduction to Nonimaging Optics’ and is the main author of the chapter on ‘Solar concentrators’ in the book ‘Illumination Engineering: Design with Nonimaging Optics’. He has developed several new concepts, such as stepped flow-line optics, ideal light confinement by caustics, new Fresnel solar concentrators for multiple receivers, among others. He was the co-inventor of several patents and the co-author of many papers in the field of Nonimaging Optics. He also participated in the early development of the simultaneous multiple surface design method in three-dimensional geometry.

Asunción Santamaría

Asunción Santamaría received her Telecommunication Engineering degree from the Technical University of Madrid (UPM) in 1989, and her PhD degree in 1994 from the same University. She is Associate Professor at UPM-Telecommunication School since 1995. She has participated in more than 60 R&D projects (leading 30 of them), several of them belonging to the European Commission ESPRIT and ICT programs and to the European Space Agency. She is author or co-author of more than 25 scientific papers and books and more than 45 conference papers. She has been a member of the Technical Reviewers Staff of IEEE and ASTED journals and conferences and a member of the Technical Reviewers Committee of Spanish National R&D Programs. Since 2005, she is the Director of CeDInt-UPM R&D Center. She is an IEEE Communications Society Member.

The authors would like to thank the European Commission (SMETHODS: FP7-ICT-2009-7 Grant Agreement No. 288526, NGCPV: FP7-ENERGY.2011.1.1 Grant Agreement No. 283798), the Spanish Ministries (ENGINEERING METAMATERIALS: CSD2008-00066, SEM: TSI-020302-2010-65, PMEL: IPT-2011-1212-920000), SIGMAMODULOS: IPT-2011-1441-920000, SUPERRESOLUCION: TEC2011-24019, and UPM (Q090935C59) for the support given to the research activity of the UPM-Optics Engineering Group, making the present work possible.

References

[1] J. Schaefer, in ‘International Optical Design, Technical Digest (CD)’ (Optical Society of America, 2006), paper ThB1.Suche in Google Scholar

[2] M. Thomas and M. Sander, in ‘Improving Optical Free-Form Production’, Photonics Spectra September 2006.Suche in Google Scholar

[3] J. Koshel, in ‘Illumination Engineering: Design with Nonimaging Optics’ (Wiley, IEEE Press, Hoboken, 2013).10.1002/9781118462539Suche in Google Scholar

[4] N. Shatz and J. Bortz, in ‘Nonimaging Optics’ (Academic Press, New York, 2005).Suche in Google Scholar

[5] W. Cassarly, ‘Illumination merit functions’, SPIE Optics and Photonics Conference, Proc. SPIE, 6670, Nonimaging Optics and Efficient Illumination Systems IV, September 2007.10.1117/12.737955Suche in Google Scholar

[6] M. Nicholson, http://www.zemax.com/kb/articles/265/1/How-to-Perform-Freeform-Optical-Design/Page1.html, 2009.Suche in Google Scholar

[7] V. I. Oliker, in ‘Trends in Nonlinear Analysis’, Ed. by M. Kirkilionis, S. Kromker, R. Rannacher and F. Tomi (Springer-Verlag, Heidelberg, 2003) p. 193.Suche in Google Scholar

[8] H. Ries and J. Muschaweck, J. Opt. Soc. Am. A 19, 590 (2002).10.1364/JOSAA.19.000590Suche in Google Scholar PubMed

[9] F. Fournier, W. Cassarly and J. Rolland, Proc. SPIE, 7423, 742302 (2009).10.1117/12.826021Suche in Google Scholar

[10] www.lpi-llc.com.Suche in Google Scholar

[11] A. Bäuerle, A. Bruneton, R. Wester, J. Stollenwerk and P. Loosen, Opt. Express 20, 14477 (2012).10.1364/OE.20.014477Suche in Google Scholar PubMed

[12] O. N. Stravoudis, in ‘The Optics of Rays, Wave Fronts and Caustics’, Ed. H.S.W. Massey and K.A. Bueckner (Academic Press, New York, and London, 1972), pp. 97–102.Suche in Google Scholar

[13] R. K. Luneburg, in ‘Mathematical Theory of Optics’, (University of California Press, Berkeley and Los Angeles, 1964), pp. 129–138.Suche in Google Scholar

[14] T. Levi-Civita, Mat. Nat. 9, 185 and 237 (1900).Suche in Google Scholar

[15] P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, et al., Opt. Eng., 43, 1489 (2004).10.1117/1.1752918Suche in Google Scholar

[16] F. Duerr, P. Benítez, J. C. Miñano, Y. Meuret and H. Thienpont, Opt. Express 20, 10839–10846 (2012).10.1364/OE.20.010839Suche in Google Scholar PubMed

[17] F. Duerr, P. Benítez, J. C. Miñano, Y. Meuret and H. Thienpont, Proc. SPIE 8486, 848609 (2012).Suche in Google Scholar

[18] A. Cvetkovic, M. Hernández, P. Benítez, J. C. Miñano, J. Schwartz, et al. Proc. SPIE 7043, 70430E (2008).Suche in Google Scholar

[19] A. Cvetkovic, O. Dross, J. Chaves, P. Benitez, J. C. Miñano, et al., in ‘International Optical Design Conference 2006’, Chairs/Editors G. Groot Gregory, J. M. Howard, R. J. Koshel, SPIE-OSA 6342, 63420R-1 (Vancouver, British Columbia, 2006).Suche in Google Scholar

[20] H. Hottel, in ‘Heat Transmission’, Ed. by W. H. McAdams (McGraw-Hill, New York, 1954).Suche in Google Scholar

[21] R. Winston, W. T. Welford, J. Opt. Soc. Am. 69, 532–536 (1979).10.1364/JOSA.69.000532Suche in Google Scholar

[22] J. C. Miñano, P. Benítez, W. Lin, J. Infante, F. Muñoz, et al., Opt. Express, 17, 24036–24044 (2009).10.1364/OE.17.024036Suche in Google Scholar PubMed

[23] R. Williamson and H. Trotter, in ‘Multivariable Mathematics, 4th Edition.’ (Pearson Education, Inc., Torino, 2004).Suche in Google Scholar

Received: 2013-5-20
Accepted: 2013-7-3
Published Online: 2013-08-03
Published in Print: 2013-08-01

©2013 by THOSS Media & De Gruyter Berlin Boston

Heruntergeladen am 17.9.2025 von https://www.degruyterbrill.com/document/doi/10.1515/aot-2013-0025/html
Button zum nach oben scrollen