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Morphology and plasmonic properties of self-organized arrays of ...

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88 CHAPTER 5. MODELLING AND ANALYSIS OF THE OPT. PROP.[001]30Counts [%]2010ab01.02.0Aspect ratio1510Counts [%]105Counts [%]5c0510 15NP lenght [nm]20d0510 15NP width [nm]20Figure 5.10: Panel a: AFM image <strong>of</strong> a nanopatterned LiF(110) sample with Λ ≈ 30 nm,following the grazing deposition <strong>of</strong> ≈ 3 nm <strong>of</strong> gold at T = 100 ◦ C <strong>and</strong> annealing atT = 400 ◦ C (“rectangular” configuration). Panels b, c, d: statistical distributions <strong>of</strong> theNP in-plane aspect ratio <strong>and</strong> semiaxes along <strong>and</strong> across the LiF ridges, respectively. Thecontinuous lines are best-fit lognormal probability density functions. See text for details.along <strong>and</strong> across the LiF ridges, were characterized by very similar parameters, exhibitinga mean <strong>and</strong> a st<strong>and</strong>ard deviation <strong>of</strong> a x = a y = (8.5 ± 3.0) nm, corresponding to anaspect ratio <strong>of</strong> 1.0 ± 0.3. Mean NP spacings <strong>of</strong> d y = (20 ± 5) nm along the chains <strong>and</strong>d x = (30±5) nm across the ripples were found, indicating that the particles can be statisticallythought as laying on a rectangular mesh. We will refer to this class <strong>of</strong> samplesas the “rectangular” <strong>arrays</strong>.Optical characterizationIn analogy with the previous cases, the optical response <strong>of</strong> the samples under scrutinyhas been investigated by means <strong>of</strong> polarized light reflectivity, with the plane <strong>of</strong> incidenceeither along (||) or across (⊥) the LiF ridges, in order to selectively discriminate thecontributions <strong>of</strong> the individual L <strong>and</strong> T <strong>plasmonic</strong> modes (see §4.2.3).In fig. 5.11 <strong>and</strong> fig. 5.12 we report, as open circles, R S (panels (b)) <strong>and</strong> R P (panels (c))spectra measured for the “square” <strong>and</strong> the “rectangular” samples, respectively, at θ = 50 ◦<strong>of</strong> incidence. For each polarization, the longitudinal <strong>and</strong> transverse LSP modes have beenexcited by fixing the plane <strong>of</strong> incidence in parallel or perpendicular configuration: L mode(black lines) excited in RS ⊥ , T mode (red lines) excited in R||S , <strong>and</strong> vice versa for R P.The in-plane optical anisotropy <strong>of</strong> the system is particularly accentuated for the“square” configuration, reported in fig. 5.11: looking at R S , the L <strong>and</strong> T modes areexcited by setting the plane <strong>of</strong> incidence perpendicular (⊥, fig. 5.11(c)) <strong>and</strong> parallel (||,fig. 5.11(b)) to the LiF ridges, respectively, <strong>and</strong> are found at λ S L = (597 ± 3) nm <strong>and</strong>= (542 ± 3) nm, separated by ≈ 55 nm; the full widths at half maximum (Γ) <strong>of</strong>λ S T

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