[en] Based on the relationship between charge dimensionality and singular field behavior, it is proven that in a volumetric description of a volume current carrying topology, half rooftops of different binary hierarchical level are allowed without introducing numerical difficulties. This opens the possibility to use a very efficient multi-level hierarchical meshing scheme in a Volumetric Method of Moments (MoM) algorithm. The new meshing scheme is validated by numerical calculations and experiments. It paves the way towards a much more efficient use of MoM in the description of arbitrarily shaped nano-structures at IR and optical frequencies.
Disciplines :
Physics
Author, co-author :
Zheng, X.; Katholieke Universiteit Leuven - KUL > ESAT-TELEMIC
Valev, V.K.; Katholieke Universiteit Leuven - KUL > Chemistry
Verellen, N.; Katholieke Universiteit Leuven - KUL > Physics
Silhanek, Alejandro ; Université de Liège - ULiège > Département de physique > Physique de la matière condensée
Metlushko, V.; University of Illinois at Chicago > Electrical and Computer Engineering
Ameloot, M.; University Hasselt and transnational University Limburg > BIOMED
Vandenbosch, G.A.E.; Katholieke Universiteit Leuven - KUL > ESAT-TELEMIC
Moshchalkov, V.V.; Katholieke Universiteit Leuven - KUL > Physics
Language :
English
Title :
Volumetric method of moments and conceptual multilevel building blocks for nanotopologies
Publication date :
16 February 2012
Journal title :
IEEE Photonics Journal
ISSN :
1943-0647
eISSN :
1943-0655
Publisher :
Institute of Electrical and Electronics Engineers, United States - New Jersey
T. H. Taminiau, F. B. Segerink, R. J. Moerland, L. K. Kuipers, and N. F. van Hulst, "Near-field driving of a optical monopole antenna, " J. Opt. A, Pure Appl. Opt., vol. 9, no. 9, pp. S315-S321, Sep. 2007.
P. Muhlschlegel, H.-J. Eisler, O. Martin, B. Hecht, and D. Pohl, "Resonant optical antennas, " Science, vol. 308, no. 5728, pp. 1607-1609, Jun. 2005.
D. Dregely, R. Taubert, J. Dorfmuller, R. Vogelgesang, K. Kern, and H. Giessen, "3D optical Yagi-Uda nanoantenna array, " Nat. Commun., vol. 2, no. 267, p. 1268, Apr. 2011.
N. Verellen, Y. Sonnefraud, H. Sobhani, F. Hao, V. Moshchalkov, P. V. Dorpe, P. Nordlander, and S. A. Maier, "Fano resonances in individual coherent plasmonic nanocavities, " Nano Lett., vol. 9, no. 4, pp. 1663-1667, Apr. 2009.
R. Kappeler, D. Erni, C. Xudong, and L. Novotny, "Field computations of optical antennas, " J. Comput. Theor. Nanosci., vol. 4, no. 3, pp. 686-691, May 2007.
R. Qiang, R. L. Chen, and J. Chen, "Modeling electrical properties of gold films at infrared frequency using FDTD method, " Int. J. Infrared Millim. Waves, vol. 25, no. 8, pp. 1263-1270, Aug. 2004.
F. P. G. de Arquer, V. Volski, N. Verellen, G. A. E. Vandenbosch, and V. V. Moshchalkov, "Engineering the input impedance of optical nano dipole antennas: Materials, geometry and excitation effect, " IEEE Trans. Antennas Propag., vol. 59, no. 9, pp. 3144-3153, Sep. 2011.
B. Gallinet and O. J. Martin, "Scattering on plasmonic nanostructures arrays modeled with a surface integral formulation, " Photon. Nanostruct. Appl., vol. 8, no. 4, pp. 278-284, Sep. 2010.
A. M. Kern and O. J. Martin, "Surface integral formulation for 3D simulations of plasmonic and high permittivity nanostructures, " J. Opt. Soc. Amer., vol. 26, no. 4, pp. 732-740, Apr. 2009.
J. M. Taboada, J. Rivero, L. Landesa, M. G. Araujo, F. Obelleiro, and O. Rubinos-Lopez, "Method of moments formulation for the analysis and design of plasmonic nano-optical antennas of arbitrary shape, " in Proc. 5th EUCAP, pp. 2205-2208.
G. A. E. Vandenbosch, V. Volski, N. Verellen, and V. V. Moshchalkov, "The method of moments at IR and optical frequencies, " in Proc. iWAT, 2011, pp. 10-13.
G. A. E. Vandenbosch, V. Volski, N. Verellen, and V. V. Moshchalkov, "On the use of the method of moments in plasmonic applications, " Rad. Sci., vol. 46, p. RS0E02, May 2011, DOI:10.1029/2010RS004582.
Y. Schols and G. A. E. Vandenbosch, "Separation of horizontal and vertical dependencies in a surface/volume integral equation approach to model quasi 3-D structures in multilayered media, " IEEE Trans. Antennas Propag., vol. 55, no. 4, pp. 1086-1094, Apr. 2007.
G. A. E. Vandenbosch and A. R. Van de Capelle, "Mixed-potential integral expression formulation of the electric field in a stratified dielectric medium, " IEEE Trans. Antennas Propag., vol. 40, no. 7, pp. 806-817, Jul. 1992.
F. J. Demuynck, G. A. E. Vandenbosch, and A. R. Van de Capelle, "The expansion wave concept, part I: Efficient calculation of spatial green's functions in a stratified dielectric medium, " IEEE Trans. Antennas Propag., vol. 46, no. 3, pp. 397-406, Mar. 1998.
M. Vranken and G. A. E. Vandenbosch, "Hybrid dyadic-mixed-potential and combined spectral-space domain integral equation analysis of quasi-3-D structures in stratified media, " IEEE Trans. Microw. Theory Tech., vol. 51, no. 1, p. 216225, Jan. 2003.
[Online]. Available: http://www.lumerical.com
N. Verellen, P. V. Dorpe, D. Vercruysse, G. A. E. Vandenbosch, and V. V. Moshchalkov, "Dark and bright localized surface plasmons in nanocrosses, " Opt. Exp., vol. 19, no. 12, pp. 11 034-11 051, Jun. 2011.
V. K. Valev, A. V. Silhanek, Y. Jeyaram, D. Denkova, B. D. Clercq, V. Petkov, X. Zheng, V. Volskiy, W. Gillijns, G. A. E. Vandenbosch, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, "Hotspot decorations map plasmonic patterns with the resolution of scanning probe technique, " Phys. Rev. Lett., vol. 106, no. 22, p. 226803, Jun. 2011.
V. K. Valev, X. Zheng, C. Biris, A. Silhanek, V. Volskiy, B. D. Clercq, O. Aktsipetrov, M. Ameloot, N. Panoiu, G. A. E. Vandenbosch, and V. Moshchalkov, "The origin of second harmonic generation hotspots in chiral optical metamaterials, " Opt. Mater. Exp., vol. 1, pp. 36-45, 2011.
V. K. Valev, A. V. Silhanek, B. D. Clercq, W. Gillijns, Y. Jeyaram, X. Zheng, V. Volskiy, O. A. Aktsipetrov, G. A. E. Vandenbosch, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, "U-shaped switches for optical information processing at the nanoscale, " Small, vol. 7, no. 18, pp. 2573-2576, Sep. 2011.
V. K. Valev, B. D. Clercq, X. Zheng, D. Denkova, E. J. Osley, S. Vandendriessche, A. V. Silhanek, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, "The role of chiral local field enhancements below the resolution limit of second harmonic generation microscopy, " Opt. Exp., vol. 20, no. 1, pp. 256-264, Jan. 2012.