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Quasi-periodic distribution of plasmon modes in two-dimensional Fibonacci arrays of metal nanoparticles

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Abstract

In this paper we investigate for the first time the near-field optical behavior of two-dimensional Fibonacci plasmonic lattices fabricated by electron-beam lithography on transparent quartz substrates. In particular, by performing near-field optical microscopy measurements and three dimensional Finite Difference Time Domain simulations we demonstrate that near-field coupling of nanoparticle dimers in Fibonacci arrays results in a quasi-periodic lattice of localized nanoparticle plasmons. The possibility to accurately predict the spatial distribution of enhanced localized plasmon modes in quasi-periodic Fibonacci arrays can have a significant impact for the design and fabrication of novel nano-plasmonics devices.

©2008 Optical Society of America

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Figures (6)

Fig. 1.
Fig. 1. (a). First two generations of 2D Fibonacci sequence shown along with the inflation rules, (b) Generation 7 of the 2D Fibonacci lattice, (c) Calculated diffraction spectra of the 2D Fibonacci lattice shown in (b), (d) Cut along the vertical arrow shown in (c) showing the preservation of 1D Fibonacci Fourier characteristics.
Fig. 2.
Fig. 2. SEM images of (a) Periodic and (b) Fibonacci Au nanoparticle array. The insets show the dimension of the particles (200nm) and the inter-particle separation (50nm); (c) Normalized extinction of periodic arrays with 100 nm particle spacing. The inset shows the true-color image of the array under white light illumination. The reddish edge region of the array, which is responsible for the near-infrared background scattering, arises from structural imperfections due to partial lift-off at the array edge; (d) Normalized extinction of the Fibonacci array (100 nm particle spacing). The inset shows the true-color image of the Fibonacci array under white light illumination.
Fig. 3.
Fig. 3. (a) and (b) show topographical AFM images on the Fibonacci and Periodic arrays respectively, (c) and (d) are NSOM images obtained from Fibonacci and Periodic nanoparticle arrays obtained under identical conditions.
Fig. 4.
Fig. 4. (a) and (b) are NSOM images obtained from Fibonacci and Periodic nanoparticle arrays obtained under identical conditions, (c) shows the intensity profile along the horizontal cut in the NSOM images along the white lines in (a) and (b).
Fig. 5.
Fig. 5. (a) and (c) are NSOM images obtained from Fibonacci and Periodic nanoparticle arrays obtained under identical conditions. (b) and (d) are FDTD simulations of periodic and Fibonacci Au nanoparticle arrays respectively, the particles were 200nm and min. interparticle separation was 50nm. Te number of particles for the Fibonacci array is 80 while it is 64 for the periodic lattice. The Au was modeled using the Drude parameters collision frequency =250 THz, and Plasma Frequency =6790 THz. The illumination was with a CW excitation polarized in the plane of the particle at 520nm.
Fig. 6.
Fig. 6. (a). Calculated hot-spot locations are shown (red) along with the Fibonacci nanoparticle array (black). (b) Fourier spectrum of the hot-spots sequence along the vertical direction. (c) Fourier spectrum of the hot-spots sequence along the horizontal direction. This spectrum coincides with the one of a one-dimensional Fibonacci sequence.

Equations (2)

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g n + 2 = g n + 1 ϕ g n
ϕ = { 1 if n even 0 if n odd
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