RT Journal Article T1 Application of dynamic merit function to nonimaging systems optimization A1 Álvarez Fernández-Balbuena, Antonio A1 González Montes, Mario A1 García Botella, Ángel A1 Vázquez Moliní, Daniel AB Automatic optimization algorithms have been recently introduced as nonimaging optics design techniques. Unlike optimization of imaging systems, nonsequential ray tracing simulations and complex noncentered systems design must be considered, adding complexity to the problem. The merit function is a key element in the automatic optimization algorithm; nevertheless, the selection of each objective’s weight, {wi}{wi}, inside the merit function needs a prior trial and error process for each optimization. The problem then is to determine appropriate weights’ values for each objective. We propose a new dynamic merit function with variable weight factors {wi(n)}{wi(n)}. The proposed algorithm automatically adapts weight factors during the evolution of the optimization process. This dynamic merit function avoids the previous trial and error procedure by selecting the right merit function and provides better results than conventional merit functions. PB Spie-Soc Photo-Optical Instrumentation Engineers SN 0091-3286 YR 2015 FD 2015-02-09 LK https://hdl.handle.net/20.500.14352/23088 UL https://hdl.handle.net/20.500.14352/23088 LA eng NO 1. Cassarly W. J., and Hayford M. J., “Illumination optimization: the revolution has begun,” Proc. SPIE. 4832, 258–269 (2002). 0277-786X.2. Lammbda Research Corporation—Europe, Tracepro software, 2014,http://www.lambdares.com/ (2015).3. Synopsy's Optical Solutions Group, Lightools software, 2014, http://www.opticalres.com/ (2015).4. Cassarly W. J., “Illumination merit functions,” Proc. SPIE. 6670, , 142 –154 (2007). 0277-786X.5. Koshel J. R., “Aspects of illumination system optimization,” Proc. SPIE. 5529, , 206–217 (2004). 0277-786X.6. Gao Z. et al., “A global approach for digital speckle correlation,” 2002, http://sem-proceedings.com/02s/sem.org-2002-SEM-Ann-Conf-SEM165-A-Global-Approach-Digital-Speckle-Correlation.pdf (19 January 2015).7. Koshel J. R., “Simplex optimization method for illumination design,” Opt. Lett.. 30, (6 ), 649–651 (2005). 0146-9592.8. Jin Y., Okabe T., and Sendhoff B., “Adapting weighted aggregation for multiobjective evolution strategies,” in Lecture Notes in Computer Science., Vol. 1993, pp. 96 –110, Springer-Verlag, Berlin, Heidelberg (2001).9. Luo X. et al., “Automated optimization of an aspheric light-emitting diode lens for uniform illumination,” Appl. Opt. 50, (20), 3412–3418 (2011). 0003-6935.10. Koshel R. J., “Fractional optimization of illumination optics,” Proc. SPIE. 7061, 70610F (2008). 0277-786X.11. Lagarias J. C. et al., “Convergence properties of the Nelder-Mead simplex method in low dimensions,” SIAM J. Optim. 9, (1), 112–147 (1998). 1095-7189.12. Koshel R. J., Illumination Engineering: Design with Nonimaging Optics., p. 281, Wiley-IEEE Press, Hoboken, New Jersey (2013).13. Shatz N. E., and Bortz J. C., “Optimal design of a nonimaging TIR doublet lens for an illumination system using an LED source,” Proc. SPIE. 5529, 176–185 (2004). 0277-786X14. Gilli M., and Schumann E., “A note on ‘good starting values’ in numerical optimization,” 2010, http://comisef.eu/files/wps044.pdf (19 January 2015).15. Ispas G. “A theoretical comparison between batwing and lambertian distributions of power LEDs related to an interior lighting system,” Adv. Environ. Technol. Biotechnol. (2014).16. Rea M. S., The IESNA Lightning Handbook: Reference & Applications, 9th ed., pp. 480–490, Illuminating Engineering Society of North America (IESNA), New York (2000).17. Katzev R., “The impact of energy-efficient office lighting strategies on employee satisfaction and productivity,” Environ. Behav.. 24, (6 ), 759 –778 (1992). 0013-9165.18. Montes M. G., Fernandez-Balbuena A. A., and Bernabeu E., “Beacon system based on light-emitting diode sources for runways lighting,” Opt. Eng. 53, (6), 066104 (2014). 0091-3286. NO Copyright 2015. Society of Photo Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited. DS Docta Complutense RD 28 abr 2024