Abstract
Using the image charge theory and finite element methods, we present the first comprehensive study on the optical properties of substrate-supported, three-layer, metal/dielectric/metal nanospheres. By adopting dipolar and quadrupolar approximations of the quasistatic image charge theory, we derive analytical expressions for the polarization-dependent polarizabilities of a three-layer nanosphere near a substrate and use them to find the nanosphere’s plasmon resonance wavelengths as functions of the geometric and material parameters of the nanosphere–substrate system. By calculating the resonance wavelength of substrate-supported gold/silica/gold nanosphere over a sufficiently large domain of the nanosphere’s dimensions, we show that this wavelength can be tuned from visible to infrared regions by altering only the size of the nanosphere’s core. We also show that the resonance position as well as the enhancement and confinement of the near-field can be dynamically tuned over broad ranges by changing the polarization of the excitation light. Of significance for the applicability of our results in practice is that we employ size-dependent permittivity of gold, which allows experimentalists to readily produce these substrate-supported nanospheres with desired optical responses. Upon comparing our analytical results with the results of numerical simulations, we reveal the range of the nanospheres’ outer radii within which the dipolar and quadrupolar approximations adequately describe the nanosphere–substrate interaction. Since majority of the optical functions are realized with light polarized parallel to the substrate, our results allow one to readily engineer the broadband optical responses of substrate-supported metal/dielectric/metal nanospheres for applications in resonance-enhanced sensing, in light harvesting, and in biomedicine.
Similar content being viewed by others
References
Kreibig U, Vollmer M (1995) Optical properties of metal clusters. Springer, Berlin
Khan AD, Miano G (2013) Higher order tunable Fano resonances in multilayer nanocones. Plasmonics 8(2):1023–1034
Handapangoda D, Rukhlenko ID, Premaratne M (2012) Optimizing the design of planar heterostructures for plasmonic waveguiding. J Opt Soc Am B 29(4):553–558
Yong KT, Swihart MT, Ding H, Prasad PN (2009) Preparation of gold nanoparticles and their applications in anisotropic nanoparticle synthesis and bioimaging. Plasmonics 4(2):79–93
Erickson TA, Tunnell JW (2009) Gold nanoshells in biomedical applications. In: Kumar CSSR (ed) Nanomaterials for the life sciences, mixed metal nanomaterials, vol 3. Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, pp 1–44
Udagedara IB, Rukhlenko ID, Premaratne M (2011) Surface plasmon-polariton propagation in piecewise linear chains of composite nanospheres: the role of optical gain and chain layout. Opt Express 19(21):19973–19986
Acevedo R, Lombardini R, Halas NJ, Johnson BR (2009) Plasmonic enhancement of Raman optical activity in molecules near metal nanoshells. J Phys Chem A 113(47):13173–13183
Pannipitiya A, Rukhlenko ID, Premaratne M (2011) Analytical theory of optical bistability in plasmonic nanoresonators. J Opt Soc Am B 28(11):2820–2826
Major KJ, De C, Obare SO (2009) Recent advances in the synthesis of plasmonic bimetallic nanoparticles. Plasmonics 4(1):61–78
Sikdar D, Rukhlenko ID, Cheng W, Premaratne M (2013) Effect of number density on optimal design of gold nanoshells for plasmonic photothermal therapy. Biom Opt Express 4(1):15–31
Sikdar D, Rukhlenko ID, Cheng W, Premaratne M (2013) Optimized gold nanoshell ensembles for biomedical applications. Nanoscale Res Lett 8(1):142–146
Jain PK, Huang X, El-Sayed IH, El-Sayed MA (2007) Review of some interesting surface plasmon resonance-enhanced properties of noble metal nanoparticles and their applications to biosystems. Plasmonics 2(3):107–118
Lakowicz JR (2006) Plasmonics in biology and plasmon-controlled fluorescence. Plasmonics 1(1):5–33
Zhu J, Ren Y, Zhao S, Zhao J (2012) The effect of inserted gold nanosphere on the local field enhancement of gold nanoshell. Mater Chem Phys 133(2):1060–1065
Wu D, Jiang S, Liu X (2011) Tunable Fano resonances in three-layered bimetallic Au and Ag nanoshell. J Phys Chem C 115(48):23797–23801
Hu Y, Fleming RC, Drezek RA (2008) Optical properties of gold–silica–gold multilayer nanoshells. Opt Exp 16(24):19579–19591
Wu D, Xu X, Liu X (2008) Tunable near-infrared optical properties of three-layered metal nanoshells. J Chem Phys 129(7):074711
Xia X, Liu Y, Backman V, Ameer GA (2006) Engineering sub-100 nm multi-layer nanoshells. Nanotechnol 17(21):5435–5440
Hutter T, Elliott SR, Mahajan S (2013) Interaction of metallic nanoparticles with dielectric substrates: effect of optical constants. Nanotechnol 24(3):035201
Zhang S, Bao K, Halas NJ, Xu H, Nordlander P (2011) Substrate-induced Fano resonances of a plasmonic nanocube: a route to increased-sensitivity localized surface plasmon resonance sensors revealed. Nano Lett 11(4):1657–1663
Jian Z, Jian-jun L, Jun-wu Z (2011) Tuning the dipolar plasmon hybridization of multishell metal–dielectric nanostructure: gold nanosphere in a gold nanoshell. Plasmonics 6(3):527–534
Chau YF, Jiang ZH (2011) Plasmonics effects of nanometal embedded in a dielectric substrate. Plasmonics 6(3):581–589
Wu Y, Nordlander P (2010) Finite-difference time-domain modeling of the optical properties of nanoparticles near dielectric substrates. J Phys Chem C 114(16):7302–7307
Knight MW, Wu Y, Lassiter JB, Nordlander P, Halas NJ (2009) Substrates matter: influence of an adjacent dielectric on an individual plasmonic nanoparticle. Nano Lett 9(5):2188–2192
Chen F, Johnston RL (2009) Plasmonic properties of silver nanoparticles on two substrates. Plasmonics 4(2):147–152
Pinchuk A, Schatz G (2005) Anisotropic polarizability tensor of a dimer of nanospheres in the vicinity of a plane substrate. Nanotechnol 16(10):2209–2217
Pinchuk A, Hilger A, Von Plessen G, Kreibig U (2004) Substrate effect on the optical response of silver nanoparticles. Nanotechnol 15(12):1890–1896
Malinsky MD, Kelly KL, Schatz GC, Van Duyne RP (2001) Nanosphere lithography: effect of substrate on the localized surface plasmon resonance spectrum of silver nanoparticles. J Phys Chem B 105(12):2343–2350
Vernon KC, Funston AM, Novo C, Gomez DE, Mulvaney P, Davis TJ (2010) Influence of particle–substrate interaction on localized plasmon resonances. Nano Lett 10(6):2080–2086
Gozhenko VV, Grechko LG, Whites KW (2003) Electrodynamics of spatial clusters of spheres: substrate effects. Phys Rev B 68(12):125422
Ruppin R (1991) Optical absorption of a coated sphere above a substrate. Phys A 178(1):195–205
Wind MM, Vlieger J, Bedeaux D (1987) The polarizability of a truncated sphere on a substrate I. Phys A 141(1):33–57
Yamaguchi T, Yoshida S, Kinbara A (1974) Optical effect of the substrate on the anomalous absorption of aggregated silver films. Thin Solid Films 21(1):173–187
Bedeaux D, Vlieger J (2004) Optical properties of surfaces. Imperial College Press, London
Albella P, Garcia-Cueto B, Gonzalez F, Moreno F, Wu PC, Kim T, Brown A, Yang Y, Everitt HO, Videen G (2011) Shape matters: plasmonic nanoparticle shape enhances interaction with dielectric substrate. Nano Lett 11(9):3531–3537
Valamanesh M, Borensztein Y, Langlois C, Lacaze E (2011) Substrate effect on the plasmon resonance of supported flat silver nanoparticles. J Phys Chem C 115(7):2914–2922
Le F, Lwin N, Halas N, Nordlander P (2007) Plasmonic interactions between a metallic nanoshell and a thin metallic film. Phys Rev B 76(16):165410
Roman-Velazquez CE, Noguez C, Barrera RG (2000) Substrate effects on the optical properties of spheroidal nanoparticles. Phys Rev B 61(15):10427–10436
Yamamoto N, Ohtani S, Garcia de Abajo FJ (2010) Gap and mie plasmons in individual silver nanospheres near a silver surface. Nano letters 11(1):91–95
Averitt RD, Westcott SL, Halas NJ (1999) Linear optical properties of gold nanoshells. J Opt Soc Am B 16(10):1824–1832
Roman-Velazquez CE, Noguez C (2011) Designing the plasmonic response of shell nanoparticles: spectral representation. J Chem Phys 134:044116
Sikdar D, Rukhlenko ID, Cheng W, Premaratne M (2013) Unveiling ultrasharp scattering–switching signatures of layered gold–dielectric–gold nanospheres. J Opt Soc Am B 30(8):2066–2074
Johnson PB, Christy RW (1972) Optical constants of the noble metals. Phys Rev B 6(12):4370–4379
Xiong W, Sikdar D, Walsh M, Si K, Tang Y, Chen Y, Mazid R, Weyland M, Rukhlenko ID, Etheridge J, Premaratne M, Lia X, Cheng W (2013) Single-crystal caged gold nanorods with tunable broadband plasmon resonances. Chem Commun 49:9630–9632
Acknowledgments
The work of DS is supported by Victoria India Doctoral Scholarship. The work of IDR, WC, and MP is supported by the Australian Research Council, through its Discovery Early Career Researcher Award DE120100055 and Discovery Grants DP120100170 and DP110100713, respectively.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sikdar, D., Rukhlenko, I.D., Cheng, W. et al. Tunable Broadband Optical Responses of Substrate-Supported Metal/Dielectric/Metal Nanospheres. Plasmonics 9, 659–672 (2014). https://doi.org/10.1007/s11468-014-9681-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11468-014-9681-8