Progress In Electromagnetics Research B
ISSN: 1937-6472
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 59 > pp. 219-229


By M. Wang, A. Alparslan, S. M. Schnepp, and C. Hafner

Full Article PDF (800 KB)

In this paper, we focus on the problem of optimizing plasmonic structures. A plasmon-assisted waveguide coupler is considered as a test problem, which leads to a five-dimensional optimization problem carried out by an evolution strategy (ES). The optimization results are verified by a comparative analysis between different solvers, i.e., the finite element package CONCEPTs and the multiple multipole program (MMP). We also compared with results obtained using a deterministic optimization algorithm, namely the Nedler-Mead method as implemented in the commercial software package COMSOL Multiphysics. Some issues concerning deterministic versus evolutionary optimization, in particular, in the field of plasmonics have been discussed.

M. Wang, A. Alparslan, S. M. Schnepp, and C. Hafner, "Optimization of a Plasmon-Assisted Waveguide Coupler Using FEM and Mmp," Progress In Electromagnetics Research B, Vol. 59, 219-229, 2014.

1. Anker, J. N., W. P. Hall, O. Lyandres, N. C. Shah, J. Zhao, and R. P. Van Duyne, "Biosensing with plasmonic nanosensors," Nature Materials, Vol. 7, No. 6, 442-453, 2008.

2. Baron, A., E. Devaux, J.-C. Rodier, J.-P. Hugonin, E. Rousseau, C. Genet, T. W. Ebbesen, and P. Lalanne, "Compact antenna for efficient and unidirectional launching and decoupling of surface plasmons," Nano Letters, Vol. 11, No. 10, 4207-4212, 2011.

3. Novotny, L. and B. Hecht, Principles of Nano-optics, Cambridge University Press, 2012.

4. Esslinger, M., W. Khunsin, N. Talebi, T. Wei, J. DorfmÄuller, R. Vogelgesang, and K. Kern, "Phase engineering of subwavelength unidirectional plasmon launchers," Advanced Optical Materials, Vol. 1, No. 6, 434-437, 2013.

5. Kong, J. A., Electromagnetic Wave Theory, Wiley, New York, et al., 1986.

6. Balanis, C. A., Antenna Theory: Analysis and Design, John Wiley & Sons, 2012.

7. Komarevskiy, N., V. Shklover, L. Braginsky, C. Hafner, and J. Lawson, "Potential of glassy carbon and silicon carbide photonic structures as electromagnetic radiation shields for atmospheric re-entry," Optics Express, Vol. 20, No. 13, 14189-14200, 2012.

8. Mihaljevic, J., J. Niegemann, S. M. Schnepp, and C. Hafner, "On the numerical modeling of sharp metallic tips," Quantum Matter, Vol. 3, No. 4, 344-354, 2014.

9. COMSOL Multiphysics, 2014, , http://www.comsol.com/.

10. Hafner, C., Post-modern Electromagnetics: Using Intelligent Maxwell Solvers, Wiley, 1999.

11. Schmidt, K. and P. Kauf, "Computation of the band structure of two-dimensional photonic crystals with hp finite elements," Computer Methods in Applied Mechanics and Engineering, Vol. 198, No. 13, 1249-1259, 2009.

12. Schmidt, K. and R. Kappeler, "Efficient computation of photonic crystal waveguide modes with dispersive material," Optics Express, Vol. 18, No. 7, 7307-7322, 2010.

13. Nelder, J. A. and R. Mead, "A simplex method for function minimization," Computer Journal,, Vol. 7, No. 4, 308-313, 1965.

14. Bonnans, J.-F., J. C. Gilbert, C. Lemarechal, and C. A. Sagastizabal, Numerical Optimization: Theoretical and Practical Aspects, Springer, 2006.

15. Brownlee, J., Clever Algorithms: Nature-inspired Programming Recipes, Jason Brownlee, 2011.

16. Johnson, J. M. and V. Rahmat-Samii, "Genetic algorithms in engineering electromagnetics," IEEE Antennas and Propagation Magazine, Vol. 39, No. 4, 7-21, 1997.

17. Beyer, H.-G. and H.-P. Schwefel, "Evolution strategies --- A comprehensive introduction," Natural Computing, Vol. 1, No. 1, 3-52, 2002.

18. Ch. Hafner's Generalized Genetic Program, (GGP), 2011, , http://alphard.ethz.ch/Hafner/ggp/gp.htm.

19. Jackson, J. D., Classical Electrodynamics, 3rd Ed., 1999.

20. Taove, A. and S. C. Hagness, Computational Electrodynamics, Volume 160, Artech House, Boston, 2000.

© Copyright 2010 EMW Publishing. All Rights Reserved