Nanostructure science is internationally ranked as one of the most important technological fields. A key player in this field is the DFG Research Center for Functional Nanostructures Karlsruhe (CFN). The areas of nano-photonics and metamaterials are main areas of research at CFN. These areas are investigated in this project from the side of computational mathematics. The project has two main focuses: Simulation of metamterials and of resonances in photonic cavities. 

• J. K. Gansel, M. Wegener, S. Burger, S. Linden 
  Gold helix photonic metamaterials: A numerical parameter study
  Opt. Express,  Vol. 18,   1059–1069 (2010) 
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• S. Burger, L. Zschiedrich, J. Pomplun, F. Schmidt 
  Finite element method for accurate 3D simulation of plasmonic waveguides
  In: Integrated Optics: Devices, Materials, and Technologies XIVProc. SPIE, Vol. 7604,   76040F (2010) 
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• S. Burger, F. Schmidt, L. Zschiedrich 
  Numerical Investigation of Photonic Crystal Microcavities in Silicon-on-Insulator Waveguides
  In: Photonic and Phononic Crystal Materials and Devices XProc. SPIE,  Vol. 7609,   76091Q (2010) 
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• S. Burger, F. Schmidt, L. Zschiedrich 
  Numerical investigation of optical resonances in circular grating resonators
  In: Silicon Photonics VProc. SPIE,  Vol. 7606,   760610 (2010) 
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• M. Decker, S. Burger, S. Linden, M. Wegener 
  Magnetization waves in split-ring-resonator arrays: Evidence for retardation effects
  Phys. Rev. B,  Vol. 80  (19) ,   193102 (2009) 
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• J. Hoffmann, C. Hafner, P. Leidenberger, J. Hesselbarth, S. Burger 
  Comparison of electromagnetic field solvers for the 3D analysis of plasmonic nano antennas
  In: Numerical Methods in Optical MetrologyProc. SPIE,  Vol. 7390,   73900J (2009) 
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• J. Bethge, G. Steinmeyer, S. Burger, F. Lederer, R. Iliew 
  Guiding properties of chirped photonic crystal fibers
  Journal of Lightwave Technology,  Vol. 27,   1698 (2009) 
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• S. Burger, B. H. Kleemann, L. Zschiedrich, F. Schmidt 
  3D Finite-Element Simulations of Light Propagation through Circular Subwavelength Apertures
  In: Microtechnologies for the New MilleniumProc. SPIE,  Vol. 7366,   736621 (2009) 
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• S. Burger, D. Lockau, L. Zschiedrich, F. Schmidt 
  Finite-element simulations of light propagation through subwavelength apertures in metal films
  In: International Workshop on Optical Waveguide Theory and Numerical ModellingFraunhofer Institute for Applied Optics and Precision Engineering,  Vol. XVIII,   59 (2009) 
  
  
• D. Lockau, L. Zschiedrich, S. Burger 
  Accurate simulation of light transmission through subwavelength apertures in metal films
  J. Opt. A: Pure Appl. Opt.,  Vol. 11,   114013 (2009) 
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• D. Lockau, L. Zschiedrich, F. Schmidt, S. Burger, B. Rech 
  Efficient simulation of plasmonic structures for solar cells
  In: International Workshop on Optical Waveguide Theory and Numerical ModellingFraunhofer Institute for Applied Optics and Precision Engineering,  Vol. XVIII,   48 (2009) 
  
  
• M. Karl, B. Kettner, S. Burger, F. Schmidt, H. Kalt, M. Hetterich 
  Dependencies of micro-pillar cavity quality factors calculated with finite element methods
  Optics Express,  Vol. 17,   1144 (2009) 
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• S. Burger, L. Zschiedrich 
  Numerical Investigation of Silicon-on-Insulator 1D Photonic Crystal Microcavities
  In: Theoretical and computational nanooptics: Proceedings of the 2nd International Workshop,  Dmitry N. Chigrin  (ed) AIP,  Vol. 1176,   43-45 (2009) 
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• S. Burger, L. Zschiedrich, J. Pomplun, F. Schmidt, B. Kettner, D. Lockau 
  3D Finite-Element Simulations of Enhanced Light Transmission Through Arrays of Holes in Metal Films
  In: Numerical Methods in Optical MetrologyProc. SPIE,  Vol. 7390,   73900H (2009) 
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• S. Burger, L. Zschiedrich, B. Kettner, F. Schmidt 
  FEM simulation of light scattering by nonspherical objects
  In: Mie Theory 1908 – 2008,  W. Hergert and T. Wriedt  (ed) Universität Bremen,   82-83 (2008) 
  
  
• S. Burger, L. Zschiedrich, F. Schmidt, P. Evanschitzky, A. Erdmann 
  Benchmark of rigorous methods for electromagnetic field simulation
  In: Photomask Technology,  H. Kawahira and L.S. Zurbrick  (ed) Proc. SPIE, Vol. 7122,   71221S (2008) 
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• G. Dolling, M. W. Klein, M. Wegener, A. Schädle, B. Kettner, S. Burger, S. Linden 
  Negative beam displacement for negative-index photonic metamaterials
  Optics Express,  Vol. 15  (21) ,   14219-14227 (2007) 
  
  
• G. J. Pearce, G. S. Wiederhecker, C. G. Poulton, S. Burger, P. S. J. Russell 
  Models for guidance in kagome-structured hollow-core photonic crystal fibres
  Optics Express,  Vol. 15,   12680 (2007) 
  
  
• L.  Zschiedrich, S.  Burger, B.  Kettner, F.  Schmidt 
  Advanced Finite Element Method for Nano-Resonators
  In: Physics and Simulation of Optoelectronic Devices XIV,  M. Osinski and F. Henneberger and Y. Arakawa  (ed) Proc. SPIE,  Vol. 6115,   164-174 (2006) 
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• S. Burger, A. Schädle, L. Zschiedrich, F. Schmidt 
  Advanced FEM Analysis of Nano-Optical Devices
  In: Nanophotonics,  D. L. Andrews and J.-M. Nunzi and A. Ostendorf  (ed) Proc. SPIE,  Vol. 6195,   72-82 (2006) 
  
  
• G. Dolling, M. Wegener, A. Schädle, S. Burger, S. Linden 
  Observation of magnetization waves in negative-index photonic metamaterials
  Appl. Phys. Lett.,  Vol. 89,   231118 (2006) 
  
  
• S. Linden, C. Enkrich, G. Dolling, M. W. Klein, J. Zhou, T. Koschny, C. M. Soukoulis, S. Burger, F. Schmidt, M. Wegener 
  Photonic metamaterials: Magnetism at optical frequencies
  IEEE Journal of Selected Topics in Quantum Electronics,  Vol. 12,   1097-1105 (2006) 
  
  
• C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, C. Zhou, T. Koschny, C. M. Soukoulis 
  Magnetic metamaterials at telecommunication and visible frequencies
  Phys. Rev. Lett.,  Vol. 95,   203901 (2005) 
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• S. Burger, L. Zschiedrich, R. Klose, A. Schädle, F. Schmidt, C. Enkrich, S. Linden, M. Wegener, C. M. Soukoulis 
  Numerical Investigation of Light Scattering off Split-Ring Resonators
  In: Metamaterials,  T. Szoplik and E. Özbay and C. M. Soukoulis and N. I. Zheludev  (ed) Proc. SPIE,  Vol. 5955,   18-26 (2005) 
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