Abstract
This chapter reviews the nature and the history of discovery of the high-quality natural modes existing on periodic arrays of many sub-wavelength scatterers as specific periodically structured open resonators . Although such modes can be found on various finite and infinite arrays made of metallic and dielectric elements, we concentrate our discussion around infinite arrays of silver wires and strips in the optical range. The grating modes (G-modes), like any other natural modes, are the “parents” of the corresponding resonances in the electromagnetic-wave scattering and absorption . Their wavelengths in either case are determined mainly by the period and the angle of incidence that has been a reason of their misinterpretation as Rayleigh anomalies. On the frequency scans of the reflectance or transmittance coefficients, G-mode resonances are usually observed as Fano -shape (double-extremum) spikes, while in the absorption they always display conventional Lorentz-shape peaks. If a grating is made of sub-wavelength size noble-metal elements, G-modes exist together with better known localized surface-plasmon modes (LSP-modes) whose wavelengths lay in the optical range. Thanks to high tunability and considerably higher Q-factors, the G-mode resonances can potentially supplement or even replace the LSP-mode resonances in the design of nanosensors , nanoantennas , and nanosubstrates for solar cells and surface-enhanced Raman scattering.
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References
P.B. Johnson, R.W. Christy, Optical constants of the noble metals. Phys. Rev. B 6, 4370–4378 (1972)
J. Homola, Surface plasmon resonance sensors for detection of chemical and biological species. Chem. Rev. 108(2), 462–493 (2008)
N.P. Stognii, N.K. Sakhnenko, Plasmon resonances and their quality factors in a finite linear chain of coupled metal wires. IEEE J. Sel. Topics Quant. Electron. 19(3), 4602207 (2013)
H. Lamb, On the reflection and transmission of electric waves by a metallic grating. Proc. London Math. Soc. 29, 523–544 (1898)
L. Rayleigh, On the dynamical theory of gratings. Proc. Royal Soc. London A-79, 399–416 (1907)
V. Twersky, On a multiple scattering theory of the finite grating and the Wood anomalies. J. Appl. Phys. 23(10), 1099–1118 (1952)
A.W.K. Pursley, The transmission of electromagnetic radiation through wire gratings. Tech. Report Project 2351, Eng. Res. Inst., Univ. Michigan Ann Arbor (1956)
A.Z. Elsherbeni, A.A. Kishk, Modeling of cylindrical objects by circular dielectric and conducting cylinders. IEEE Trans. Antennas Propagat. 40(1), 96–99 (1992)
D. Felbacq, G. Tayeb, D. Maystre, Scattering by a random set of parallel cylinders. J. Opt. Soc. Am. A: 11(9), 2526–2538 (1994)
K. Yasumoto, H. Toyama, T. Kushta, Accurate analysis of 2-D electromagnetic scattering from multilayered periodic arrays of circular cylinders using lattice sums technique. IEEE Trans. Antennas Propagat. 52(10), 2603–2611 (2004)
K. Ohtaka, H. Numata, Multiple scattering effects in photon diffraction for an array of cylindrical dielectrics. Phys. Lett. 73-A(5–6), 411–413 (1979)
R. Gomez-Medina, M. Laroche, J.J. Saenz, Extraordinary optical reflection from sub-wavelength cylinder arrays. Opt. Exp. 14(9), 3730–3737 (2006)
M. Laroche, S. Albaladejo, R. Gomez-Medina, J.J. Saenz, Tuning the optical response of nanocylinder arrays: an analytical study. Phys. Rev. B 74(9), 245422/10 (2006)
D.C. Marinica, A.G. Borisov, S.V. Shabanov, Second harmonic generation from arrays of subwavelength cylinders. Phys. Rev. B 76(8), 085311/10 (2007)
P. Ghenuche, G. Vincent, M. Laroche, N. Bardou, R. Haidar, J.-L. Pelouard, S. Collin, Optical extinction in single layer of nanorods. Phys. Rev. Lett., 109, 143903/5 (2012)
V.O. Byelobrov, J. Ctyroky, T.M. Benson, R. Sauleau, A. Altintas, A.I. Nosich, Low-threshold lasing modes of infinite periodic chain of quantum wires. Opt. Lett. 35(21), 3634–3636 (2010)
V.O. Byelobrov, T.M. Benson, A.I. Nosich, Binary grating of sub-wavelength silver and quantum wires as a photonic-plasmonic lasing platform with nanoscale elements. IEEE J. Sel. Topics Quant. Electron. 18(6), 1839–1846 (2012)
D.M. Natarov, V.O. Byelobrov, R. Sauleau, T.M. Benson, 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)
D.W. Kerr, C.H. Palmer, Anomalous behavior of thin-wire gratings. J. Opt. Soc. Am. 61(4), 450–456 (1971)
D.M. Natarov, R. Sauleau, A.I. Nosich, Periodicity-enhanced plasmon resonances in the scattering of light by sparse finite gratings of circular silver nanowires. IEEE Photonics Techn. Lett. 24(1), 43–45 (2012)
Z.S. Agranovich, V.A. Marchenko, V.P. Shestopalov, Diffraction of a plane electro-magnetic wave from plane metallic lattices. Sov. Phys. Tech. Phys. 7, 277–286 (1962)
T. Uchida, T. Noda, T. Matsunaga, Spectral domain analysis of electromagnetic wave scattering by an infinite plane metallic grating. IEEE Trans. Antennas Propagat. 35(1), 46–52 (1987)
A. Matsushima, T. Itakura, Singular integral equation approach to plane wave diffraction by an infinite strip grating at oblique incidence. J. Electromagn. Waves Applicat. 4(6), 505–519 (1990)
A. Christ, T. Zentgraf, J. Kuhl, S.G. Tikhodeev, N.A. Gippius, H. Giessen, Optical properties of planar metallic photonic crystal structures: experiment and theory. Phys. Rev. B 70(12), 125113/15 (2004)
R. Rodríguez-Berral, F. Medina, F. Mesa, M. García-Vigueras, Quasi-analytical modeling of transmission/reflection in strip/slit gratings loaded with dielectric slabs. IEEE Trans. Microwave Theory Tech. 60(3), 405–418 (2012)
T.L. Zinenko, A.I. Nosich, Y. Okuno, Plane wave scattering and absorption by resistive-strip and dielectric-strip periodic gratings. IEEE Trans. Antennas Propag. 46(10), 1498–1505 (1998)
T.L. Zinenko, A.I. Nosich, Plane wave scattering and absorption by flat gratings of impedance strips. IEEE Trans. Antennas Propagat. 54(7), 2088–2095 (2006)
T.L. Zinenko, M. Marciniak, 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. Sel. Topics Quant. Electron. 19(3), 9000108/8 (2013)
O.V. Shapoval, A.I. Nosich, Finite gratings of many thin silver nanostrips: optical resonances and role of periodicity. AIP Adv. 3(4), 042120/13 (2013)
O.V. Shapoval, R. Sauleau, A.I. Nosich, Modeling of plasmon resonances of multiple flat noble-metal nanostrips with a median-line integral equation technique. IEEE Trans. Nanotechnol. 12(3), 442–449 (2013)
O.V. Shapoval, J. Ctyroky J., A.I. Nosich, Resonance effects in the optical antennas shaped as finite comb-like gratings of noble-metal nanostrips, Proc. SPIE, Integr. Optics: Phys. Simulat., 8781, 87810U/8 (2013)
K.T. Carron, W. Fluhr, M. Meier, A. Wokaun, H.W. Lehmann, Resonances of two-dimensional particle gratings in surface-enhanced Raman scattering. J. Opt. Soc. Am. B 3(3), 430–440 (1986)
S. Zou, N. Janel, G.C. Schatz, Silver nanoparticle array structures that produce remarkably narrow plasmon lineshapes. J. Chem. Phys. 120(23), 10871/5 (2004)
E.M. Hicks, S. Zou, G.C. Schatz, K.G. Spears, R.P. Van Duyne, L. Gunnarsson, T. Rindzevicius, B. Kasemo, M. Kall, Controlling plasmon line shapes through diffractive coupling in linear arrays of cylindrical nanoparticles fabricated by electron beam lithography. Nano Lett. 5(6), 1065–1070 (2005)
N. Felidj, G. Laurent, J. Aubard, G. Levi, A. Hohenau, J.R. Krenn, F.R. Aussenegg, Grating-induced plasmon mode in gold nanoparticle arrays. J. Chem. Phys. 123(22), 221103/5 (2005)
F.J.G. Garcia de Abajo, Colloquium: light scattering by particle and hole arrays. Rev. Mod. Phys. 79(4), 1267–1289 (2007)
Y. Chu, E. Schonbrun, T. Yang, K.B. Crozier, Experimental observation of narrow surface plasmon resonances in gold nanoparticle arrays. Appl. Phys. Lett. 93(18), 181108/3 (2008)
V.G. Kravets, F. Schedin, A.N. Grigorenko, Extremely narrow plasmon resonances based on diffraction coupling of localized plasmons in arrays of metallic nanoparticles. Phys. Rev. Lett. 101(8), 087403/4 (2008)
B. Auguie, W.L. Barnes, Collective resonances in gold nanoparticle arrays. Phys. Rev. Lett. 101(14), 143902/4 (2008)
V. Giannini, G. Vecchi, J. Gomez Rivas, Lighting up multipolar surface plasmon polaritons by collective resonances in arrays of nanoantennas. Phys. Rev. Lett. 105, 266801/4 (2010)
S.R.K. Rodriguez, M.C. Schaafsma, A. Berrier, Gomez Rivas. J. Collect. Reson. Plasm. Crystals: Size Matters. Phys. B 407(3), 4081–4085 (2012)
T.V. Teperik, A. Degiron, Design strategies to tailor the narrow plasmon-photonic resonances in arrays of metallic nanoparticles. Phys. Rev. B 86(24), 245425/5 (2012)
D.R. Fredkin, I. Mayergoyz, Resonant behavior of dielectric objects (electrostatic resonances). Phys. Rev. Lett. 91, 3902–3905 (2003)
P. Offermans, M.C. Schaafsma, S.K.R. Rodriguez, Y. Zhang, M. Crego-Calama, S.H. Brongersma, J. Gomez Rivas, Universal scaling of the figure of merit of plasmonic sensors. ACS Nano 5(6), 5151–5157 (2011)
A.G. Nikitin, A.V. Kabashin, H. Dallaporta, Plasmonic resonances in diffractive arrays of gold nanoantennas: near and far field effects. Opt. Exp. 20(25), 27941–27952 (2012)
S. Feng, S. Darmawi, T. Henning, P.J. Klar, X. Zhang, A miniaturized sensor consisting of concentric metallic nanorings on the end facet of an optical fiber. Small 8, 1937–1944 (2012)
A. Ricciardi, S. Savoia, A. Crescitelli, E. Esposito, V. Galdi, A. Cusano, Surface versus bulk sensitivity of sensors based on Rayleigh anomalies in metallic nanogratings. Proc. SPIE, Optical Sens. 8774, 87741 V/9 (2013)
Acknowledgements
T.L.Z. and V.O.B. have contributed equally to this chapter. This work was supported, in part, by the National Academy of Sciences of Ukraine via the State Target Program “Nanotechnologies and Nanomaterials” and the International Visegrad Fund via the Ph.D. Scholarship to V.O.B.
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Zinenko, T.L., Byelobrov, V.O., Marciniak, M., Čtyroký, J., Nosich, A.I. (2016). Grating Resonances on Periodic Arrays of Sub-wavelength Wires and Strips: From Discoveries to Photonic Device Applications. In: Shulika, O., Sukhoivanov, I. (eds) Contemporary Optoelectronics. Springer Series in Optical Sciences, vol 199. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-7315-7_4
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