Robust topology design of periodic grating surfaces

Journal of the Optical Society of America B: Optical Physics

Volumn 29, Issue 10, 2012, Pages 2935-2943

  Friis, Kasper Storgaard ^a   Sigmund, Ole ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

NANOSTRUCTURES; OPTICAL PROPERTIES;

CONNECTED STRUCTURES; DEGREE OF FLEXIBILITY; FREE DISTRIBUTION; MASS PRODUCTION; MECHANICAL CONSTRAINTS; NANO-SIZED FEATURES; NANOSCALE MANUFACTURING; OPTICAL EFFECTS; PERIODIC GRATINGS; PLASTIC COMPONENTS; PLASTIC SURFACES; POLYMER GRATINGS; SURFACE MICROSTRUCTURES; TOPOLOGY DESIGN; TRANSMISSION PROPERTY;

SURFACES;

EID: 84867534629     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.29.002935     Document Type: Article

References (24)

1. L. D. Chiffre, H. Kunzmann, G. N. Peggs, and D. A. Lucca, "Surfaces in precision engineering, microengineering and nanotechnology," CIRP Ann. 52, 561-577 (2003).
2. L. Alting, F. Kimura, H. N. Hansen, and G. Bissacco, "Micro engineering," CIRP Ann. 52, 635-657 (2003).
3. P. Utko, F. Persson, A. Kristensen, and N. B. Larsen, "Injection molded nanofluidic chips: fabrication method and functional tests using single-molecule DNA experiments," Lab Chip 11, 303-308 (2011).
4. K. O. Andresen, M. Hansen, M. Matschuk, S. T. Jepsen, H. S. Sorensen, P. Utko, D. Selmeczi, T. S. Hansen, N. B. Larsen, N. Rozlosnik, and R. Taboryski, "Injection molded chips with integrated conducting polymer electrodes for electroporation of cells," J. Micromech. Microeng. 20, 055010 (2010).
5. R. T. Lee and G. S. Smith, "Detailed electromagnetic simulation for the structural color of butterfly wings," Appl. Opt. 48, 4177-4190 (2009).
6. S. Banerjee, J. B. Cole, and T. Yatagai, "Colour characterization of a morpho butterfly wing-scale using a high accuracy nonstandard finite-difference time-domain method," Micron 38, 97-103 (2007).
7. K. Chung, S. Yu, C.-J. Heo, J. W. Shim, S.-M. Yang, M. G. Han, H.-S. Lee, Y. Jin, S. Y. Lee, N. Park, and J. H. Shin, "Flexible, angle-independent, structural color reflectors inspired by morpho butterfly wings," Adv. Mater. 24, 2375-2379 (2012).
8. J. S. Jensen and O. Sigmund, "Topology optimization for nanophotonics," Laser Photon. Rev. 5, 308-321 (2011).
9. D. C. Dobson, "Optimal design of periodic antireflective structures for the Helmholtz equation," Eur. J. Appl. Math. 4, 321-339 (1993).
10. D. C. Dobson, "Optimal shape design of blazed diffraction gratings," Appl. Math. Optim. 40, 61-78 (1999).
11. K. Fuchi, A. R. Diaz, E. Rothwell, R. Ouedraogo, and A. Temme, "Topology optimization of periodic layouts of dielectric materials," Struct. Multidisc. Optim. 42, CP11-493 (2010).
12. M. P. Bendsoe and O. Sigmund, Topology Optimisation- Theory, Methods and Applications, 2nd ed. (Springer-Verlag, 2003).
13. J. S. Jensen and O. Sigmund, "Topology optimization of photonic crystal structures: a high-bandwidth low-loss t-junction waveguide," J. Opt. Soc. Am. B 22, 1191-1198 (2005).
14. J. Jin, The Finite Element Method in Electromagnetics, 2nd ed. (Wiley-IEEE, 2002).
15. F. Wang, J. S. Jensen, and O. Sigmund, "Robust topology optimization of photonic crystal waveguides with tailored dispersion properties," J. Opt. Soc. Am. B 28, 387-397 (2011).
16. J. S. Jensen, "A note on sensitivity analysis of linear dynamic systems with harmonic excitation," Tech. rep. (Technical University of Denmark, Department of Mechanical Engineering, 2009).
17. O. Sigmund, "Morphology-based black and white filters for topology optimization," Struct. Multidisc. Optim. 33, 401-424 (2007).
18. J. Guest, J. Prevost, and T. Belytschko, "Achieving minimum length scale in topology optimization using nodal design variables and projection functions," Int. J. Num. Methods Eng. 61, 238-254 (2004).
19. F. Wang, B. S. Lazarov, and O. Sigmund, "On projection methods, convergence and robust formulations in topology optimization," Struct. Multidisc. Optim. 43, 767-784 (2011).
20. O. Sigmund, "Manufacturing tolerant topology optimization," Acta Mech. Sin. 25, 227-239 (2009).
21. K. Svanberg, "Method of moving asymptotes-a new method for structural optimization," Int. J. Num. Methods Eng. 24, 359-373 (1987).
22. M. Schevenels, B. S. Lazarov, and O. Sigmund, "Robust topology optimization accounting for spatially varying manufacturing errors," Comput. Methods Appl. Mech. Eng. 200, 3613-3627 (2011).
23. E. Andreassen, A. Clausen, M. Schevenels, B. S. Lazarov, and O. Sigmund, "Efficient topology optimization in MATLAB using 88 lines of code," Struct. Multidisc. Optim. 43, 1-16 (2011).
24. J. S. Jensen, "Topology optimization of dynamics problems with Padé approximants," Int. J. Num. Methods Eng. 72, 1605-1630 (2007).