Understanding the electric and magnetic response of isolated metaatoms by means of a multipolar field decomposition

Optics Express

Volumn 18, Issue 14, 2010, Pages 14454-14466

  Petschulat, J ^a   Yang, J ^b   Menzel, C ^a   Rockstuhl, C ^a   Chipouline, A ^a   Laianne, P ^b   Tunnermann A ^a   Lederer, F ^a   Pertsch, T ^a  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^b UNIV PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BESSEL FUNCTIONS; DIELECTRIC MATERIALS;

CARTESIANS; MAGNETIC MULTIPOLES; MAGNETIC RESPONSE; MULTIPOLES; NEAR FIELDS; PLANE WAVE ILLUMINATION; SCATTERED FIELD;

METAMATERIALS;

EID: 79959364156     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.18.014454     Document Type: Article

References (27)

1. S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic Response of Metamaterials at 100 Terahertz," Science 306, 1351-1352 (2004).
2. N.-H. Shen, S. Foteinopoulou, M. Kafesaki, T. Koschny, E. Ozbay, E. N. Economou, and C. M. Soukoulis, "Compact planar far-field superlens based on anisotropic left-handed metamaterials," Phys. Rev. B 80, 115123 (2009).
3. S. Xiao, U. K. Chettiar, A. V. Kildishev, V. P. Drachev, and V. M. Shalaev, "Yellow-light negative-index, metamaterials," Opt. Lett. 34, 3478-3480 (2009).
4. J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, "Three-dimensional optical metamaterial with a negative refractive index," Nature 455, 376-380 (2008).
5. N. Liu, H. Guo, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, "Three-dimensional photonic metamaterials at optical frequencies," Nature Mat. 7, 31-37 (2008).
6. D. J. Cho, F. Wang, X. Zhang, and Y. R. Shen, "Contribution of the electric quadrupole resonance in optical metamaterials," Phys. Rev. B 78, 121101 (R) (2008).
7. J. Petschulat, C. Menzel, A. Chipouline, C. Rockstuhl, A. Tunnermann, F. Lederer, and T. Pertsch, "Multipole approach to metamaterials," Phys. Rev. A 78, 043811 (2008).
8. K. Vynck, D. Felbacq, E. Centeno, A. I. Cabuz, D. Cassagne, and B. Guizal, "All-Dielectric Rod-Type Metamaterials at Optical. Frequencies," Phys. Rev. Lett. 102, 133901 (2009).
9. M. Burresi, D. V. Oosten, T. Kampfrath, H. Schoenmaker, R. Heideman, A. Leinse, and L. Kuipers, "Probing the Magnetic Field of Light at Optical Frequencies," Science 326, 550-553 (2009).
10. M. Decker, S. Burger, S. Linden, and M. Wegener, "Magnetization waves in split-ring-resonator arrays: Evidence for retardation effects," Phys. Rev. B 80, 193102 (2009).
11. N. Papasimakis, V. A. Fedotov, Y. H. Fu, D. P. Tsai, and N. I. Zheludev, "Coherent and incoherent metamaterials and order-disorder transitions," Phys. Rev. B 80, 041102(R) (2009).
12. N. Liu, H. Liu, S. Zhu, and H. Giessen, "Stereometamaterials," Nature Photon. 3, 157-162 (2009).
13. J. Petschulat, A. Chipouline, A. Tunnermann, T. Pertsch, C. Menzel, C. Rockstuhl, and F. Lederer, "Multipole nonlinearity of metamaterials," Phys. Rev. A 80, 063828 (2009).
14. Y. Zeng, C. Dineen, and J. V. Moloney, "Magnetic dipole moments in single and coupled split-ring resonators," Phys. Rev. B 81, 075116 (2010).
15. A. Serdyukov, I. Semchenko, S. Tretyakov, A. Sihvola, Electromagnetics of bi-anisotropic materials: Theory and applications (Gordon and Breach, Amsterdam, 2001).
16. C. Helgert, C. Rockstuhl, C. Etrich, C. Menzel, E.-B. Kley, A. Tunnermann, F. Lederer, and T. Pertsch, "Effective properties of amorphous metamaterials," Phys. Rev. B 79 233107 (2009).
17. G. Mie, "Beiträge zur Optik, trüber Medien, speziell kolloidaler Metallösungen," Ann. Phys. 25, 377-445 (1908).
18. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975).
19. R. E. Raab and O. L. D. Lange, Multipole Theory in Electromagnetism (Clarendon, Oxford, 2005).
20. N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, "Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit," Nature Mat. 8, 758-762 (2009).
21. P. B. Johnson and R. W. Christy, "Optical Constants of Noble Metals," Phys. Rev. B 6, 4370-4379 (1972).
22. We applied the commercial product COMSOL. (www.comsol.com)
23. M. Husnik, M. W. Klein, N. Feth, M. König, J. Niegemann, K. Busch, S. Linden, and M. Wegener, "Absolute extinction, cross-section of individual magnetic split-ring resonators," Nature Photon. 2, 614-617 (2008).
24. M. Celebrano, M. Savoini, P. Biagioni, M. Zavelani-Rossi, P.-M. Adam, L. Duo, G. Cerullo, and M. Finazzi, "Retrieving the complex polarizability of single plasmonic nanoresonators," Phys. Rev. B 80, 153407 (2009).
25. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
26. O. J. F. Martin and N. B. Piller, "Electromagnetic scattering in polarizable backgrounds," Phys. Rev. E 58, 3909-3915 (1998).
27. I. S. Gradstein and I. M. Ryshik, Tables of Series, Products and Integrals (Harry Deutsch, Frankfurt, 1981).