Abstract
This paper reports on a successful application of evolutionary computation techniques to the computer aided design of a dedicated highly dispersive mirror which is used in an ultrafast laser. The mirror is a GaAs plate coated with many interleaving layers of GaAs/AlAs and SiO2/Si3N4 layers whose thickness undergo optimization. We report and compare results obtained by leading global optimization techniques: Covariance Matrix Adaptation Evolution Strategy and Differential Evolution, as well as few efficient local optimization methods: Nelder-Mead and variable metric. The evolutionary designed mirror has been manufactured by the Molecular Beam Epitaxy technology and the measurements confirmed successful implementation of the instrument.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Liang, J., et al.: Problem definitions and evaluation criteria for the CEC 2013 special session on real-parameter optimization. Technical report, Comp. Intell. Lab., Zhengzhou University and Nanyang Technological University (2013)
INRIA: Black-box optimization benchmarking (BBOB) (2013), http://coco.gforge.inria.fr/doku.php?id=bbob-2013
R Core Team: R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria (2013)
Ardia, D., et al.: DEoptim: Differential Evolution in R (2013), Package ver. 2.2-2
Trautmann, H., Mersmann, O., Arnu, D.: cmaes: Covariance Matrix Adapting Evolutionary Strategy (2011) R package version 1.0-11
Storn, R.: Differential evolution research – trends and open questions. In: Chakraborty, U. (ed.) Advances in Differential Evolution. SCI, vol. 143, pp. 1–31. Springer, Heidelberg (2008)
Hansen, N., Ostermeier, A.: Completely derandomized self-adaptation in evolution strategies. Evol. Comput. 9(2), 159–195 (2001)
Hansen, N., et al.: Comparing results of 31 algorithms from the black-box optimization benchmarking BBOB-2009. In: GECCO, pp. 1689–1696. ACM (2010)
Weiler, S.: Ultrafast lasers-high-power pico-and femtosecond lasers enable new applications. Laser Focus World 47(10), 55 (2011)
Braun, M., Gilch, P., Zinth, W.: Ultrashort laser pulses in biology and medicine. Springer (2008)
Keller, U.: Recent developments in compact ultrafast lasers. Nature 424(6950), 831–838 (2003)
Matuschek, N.: Theory and design of double-chirped mirrors. PhD thesis, ETH Zürich (1999)
Marcuse, D.: Theory of dielectric optical waveguides. Academic, New York (1974)
Bialynicki-Birula, I., Cieplak, M., Kaminski, J.: Theory of quanta. Oxford University Press, New York (1992)
Chilwell, J., Hodgkinson, I.: Thin-films field-transfer matrix theory of planar multilayer waveguides and reflection from prism-loaded waveguides. JOSA A 1(7), 742–753 (1984)
Yakovlev, V., Tempea, G.: Optimization of chirped mirrors. Applied Optics 41(30), 6514–6520 (2002)
Yan-Zhi, W., et al.: Design and fabrication of chirped mirror. Chinese Physics Letters 26(9) (2009)
Tikhonravov, A.V.: Needle optimization technique: the history and the future. In: Optical Science, Engineering and Instrumentation 1997, International Society for Optics and Photonics, pp. 2–7 (1997)
Pervak, V., et al.: High-dispersive mirrors for femtosecond lasers. Optics Express 16(14), 10220–10233 (2008)
Adamski, K.: Evolutionary algorithm versus variable metric method in digital FIR filter design. In: EUROCON 2007, pp. 116–121 (2007)
Arabas, J., Miazga, P.: Computer aided design of a layout of planar circuits by means of evolutionary algorithms. CIT. Journal of Computing and Information Technology 7(1), 61–76 (1999)
Rios, L., Sahinidis, N.: Derivative-free optimization: a review of algorithms and comparison of software implementations. Journal of Global Optimization 56(3), 1247–1293 (2013)
Bihorel, S., Baudin, M.: Neldermead: R port of the Scilab neldermead module (2014), R package version 1.0-8
Zhu, C., et al.: Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization. ACM Trans. Math. Softw. 23(4), 550–560 (1997)
Hansen, N.: CMA-ES source code (2014), https://www.lri.fr/~hansen/cmaes_inmatlab.html
Varadhan, R., Borchers, H.W.: dfoptim: derivative-free optimization (2011), R package version 2011.8-1
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Biedrzycki, R. et al. (2014). Application of Evolutionary Methods to Semiconductor Double-Chirped Mirrors Design. In: Bartz-Beielstein, T., Branke, J., Filipič, B., Smith, J. (eds) Parallel Problem Solving from Nature – PPSN XIII. PPSN 2014. Lecture Notes in Computer Science, vol 8672. Springer, Cham. https://doi.org/10.1007/978-3-319-10762-2_75
Download citation
DOI: https://doi.org/10.1007/978-3-319-10762-2_75
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10761-5
Online ISBN: 978-3-319-10762-2
eBook Packages: Computer ScienceComputer Science (R0)