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Finite gratings of many thin silver nanostrips: Optical resonances and role of periodicity
3. V. Giannini and J. A. Sànchez-Gil, “Calculations of light scattering from isolated and interacting metallic nanowires of arbitrary cross section by means of Green's theorem surface integral equations in parametric form,” J. Opt. Soc. Am. A 24(9), 2822–2830 (2007).
5. V. Myroshnychenko, E. Carbó-Argibay, I. Pastoriza-Santos, J. Pérez-Juste, L. M. Liz-Marzán, and F. J. García de Abajo, “Modeling the optical response of highly faceted metal nanoparticles with a fully 3D boundary element method,” Adv Mat 20, 4288 (2008).
6. A. M. Kern and O. J. F. Martin “Surface integral formulation for 3D simulations of plasmonic and high permittivity nanostructures,” J. Opt. Soc. Am. A 26(4), 732–740 (2009).
7. J. M. Taboada, J. Rivero, F. Obelleiro, M. G. Araújo, and L. Landesa, “Method-of-moments formulation for the analysis of plasmonic nano-optical antennas,” J. Opt. Soc. Am. A 28(7), 1341–1348 (2011).
8. R. Rodríguez-Oliveros and J. A. Sánchez-Gil “Localized surface-plasmon resonances on single and coupled nanoparticles through surface integral equations for flexible surfaces,” Opt Express 19(13), 12208–19 (2011).
9. G. Schider, J. R. Krenn, W. Gotschy, B. Lambrecht, H. Ditlbacher, A. Leitner, and R. F. Aussenegg, “Optical properties of Ag and Au nanowire gratings,” J. Appl. Phys. 90(8), 3825–3830 (2001).
10. A. Christ, T. Zentgraf, J. Kuhl, S. G. Tikhodeev, N. A. Gippius, and H. Giessen, “Optical properties of planar metallic photonic crystal structures: experiment and theory,” Phys. Rev. B 70(12), 125113–15 (2004).
11. M. R. Gadsdon, I. R. Hooper, and J. R. Sambles, “Optical resonances on sub-wavelength lamellar gratings,” Opt. Exp. 16(26), 22003–22028 (2008).
12. A. Mendoza-Suárez, F. Villa-Villa, and J. A. Gaspar-Armenta, “Numerical method based on the solution of integral equations for the calculation of the band structure and reflectance of one- and two-dimensional photonic crystals,” J. Opt. Soc. Am. B 23(10), 2249–2256 (2006).
13. F. Lopes-Tejeira, R. Paniagua-Dominguez, R. Rodriguez-Oliveros, and J. A. Sanchez-Jil, “Fano-like interference of plasmon resonances at a single rod-shaped nanoantenna,” New J. Phys. 14, 023035 (2012).
14. B. Luk'yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, “The Fano resonance in plasmonic nanostructures and metamaterials,” Nat. Materials 9, 707–715, (2010).
16. R. Gomez-Medina, M. Laroche, J. J. Saenz, “Extraordinary optical reflection from sub-wavelength cylinder arrays,” Opt. Exp. 14(9), 3730–3737 (2006).
17. V. O. Byelobrov, J. Ctyroky, T. M. Benson, R. Sauleau, A. Altintas, and A. I. Nosich, “Low-threshold lasing eigenmodes of an infinite periodic chain of quantum wires,” Opt. Lett. 35(21), 3634–3636 (2010).
18. V. O. Byelobrov, T. M. Benson, and A. I. Nosich, “Near and far fields of high-quality resonances of an infinite grating of sub-wavelength wires,” in Proc. European Conf. Microwaves (EuMC-11), Manchester, 858–861 (2011).
19. D. M. Natarov, V. O. Byelobrov, R. Sauleau, T. M. Benson, and A. I. Nosich, “Periodicity-induced effects in the scattering and absorption of light by infinite and finite gratings of circular silver nanowires,” Opt. Exp. 19(22), 22176–22190 (2011).
20. T. L. Zinenko, A. I. Nosich, and Y. Okuno, “Plane wave scattering and absorption by resistive-strip and dielectric-strip periodic gratings,” IEEE Trans. Antennas Propag. 46, 1498–1505 (1998). [Note that, in the H-case, narrow grating resonances were missing in that paper because of too coarse grid of computation points, in frequency.]
21. T. L. Zinenko and A. I. Nosich, “Plane wave scattering and absorption by flat gratings of impedance strips,” IEEE Trans. Antennas Propag. 54(7), 2088–2095 (2006).
22. T. L. Zinenko, M. Marciniak, and A. I. Nosich, “Accurate analysis of light scattering and absorption by an infinite flat grating of thin silver nanostrips in free space using the method of analytical regularization,” IEEE J. Selected Topics in Quantum Electronics 19(3), DOI:10.1109/JSTQE.2012.2227685 (2013).
23. J. R. Krenn, G. Schider, W. Rechberger, B. Lamprecht, A. Leitner, et al., “Design of multipolar plasmon excitations in silver nanoparticles,” App. Phys. Lett. 77, 3379–3381 (2000).
24. O. L. Muskens, V. Giannini, J. A. Sánchez-Gil, and J. Gómez Rivas, “Optical scattering resonances of single and coupled dimer plasmonic nanoantennas,” Opt Exp. 15(26), 17736–17746 (2007).
26. L. J. Anderson, C. M. Payne, Y. R. Zhen, P. Nordlander, and J. A. Hafner, “A tunable plasmon resonance in gold nanobelts,” Nano Lett. 11(11), 5034 (2011).
28. K. M. Mitzner, “Effective boundary conditions for reflection and transmission by an absorbing shell of arbitrary shape,” IEEE Trans. Antennas Propag. 16, 706–712 (1968).
29. G. A. Grinberg, “Boundary conditions for the electromagnetic field in the presence of thin metallic shells,” Radio Engineering and Electronics 26(12), 2493–2499 (1981).
30. E. Bleszynski, M. Bleszynski, and T. Jaroszewicz, “Surface-integral equations for electromagnetic scattering from impenetrable and penetrable sheets,” IEEE Antennas Propag. Mag. 35, 14–25 (1993).
31. J. P. Kottmann and O. J. F. Martin, “Accurate solution of the volume integral equation for high permittivity scatterers,” IEEE Trans. Antennas Propag. 48, 1719–1726 (2000).
33. O. V. Shapoval, R. Sauleau, and A. I. Nosich, “Scattering and absorption of waves by flat material strips analyzed using generalized boundary conditions and Nystrom-type algorithm,” IEEE Trans. Antennas Propag. 59(9), 3339–3346 (2011).
34. V. Delgado and R. Marques, “Surface impedance model for extraordinary transmission in 1D metallic and dielectric screens,” Opt. Exp. 19(25), 25290–25297 (2011).
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We study numerically the optical properties of the periodic in one dimension flat gratings made of multiple thin silver nanostrips suspended in free space. Unlike other publications, we consider the gratings that are finite however made of many strips that are well thinner than the wavelength. Our analysis is based on the combined use of two techniques earlier verified by us in the scattering by a single thin strip of conventional dielectric: the generalized (effective) boundary conditions (GBCs) imposed on the strip median lines and the Nystrom-type discretization of the associated singular and hyper-singular integral equations (IEs). The first point means that in the case of the metal strip thickness being only a small fraction of the free-space wavelength (typically 5 nm to 50 nm versus 300 nm to 1 μm) we can neglect the internal field and consider only the field limit values. In its turn, this enables reduction of the integration contour in the associated IEs to the strip median lines. This brings significant simplification of the scattering analysis while preserving a reasonably adequate modeling. The second point guarantees fast convergence and controlled accuracy of computations that enables us to compute the gratings consisting of hundreds of thin strips, with total size in hundreds of wavelengths. Thanks to this, in the H-polarization case we demonstrate the build-up of sharp grating resonances (a.k.a. as collective or lattice resonances) in the scattering and absorption cross-sections of sparse multi-strip gratings, in addition to better known localized surface-plasmon resonances on each strip. The grating modes, which are responsible for these resonances, have characteristic near-field patterns that are distinctively different from the plasmons as can be seen if the strip number gets larger. In the E-polarization case, no such resonances are detectable however the build-up of Rayleigh anomalies is observed, accompanied by the reduced scattering and absorption.
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