Chapter 4 Properties of nanomaterials
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5- Interpar;cle coupling<br />
Systems composed <strong>of</strong> mul;ple par;cles may exhibit op;cal proper;es different than that <strong>of</strong> an isolated<br />
par;cle, even if each par;cle in the group is iden;cal. In the near-field, evanescent fields <strong>of</strong> proximate<br />
nanopar;cles can interact. At larger distances nanopar;cles interact in the far-field through their<br />
scatered fields, which is par;cularly relevant for periodic arrays. Jensen et al. inves;gated near-field<br />
coupling between two iden;cal Ag nanospheres using DDA simula;ons (Fig 2.23). For a par;cle radius <strong>of</strong><br />
30 nm, an interpar;cle spacing <strong>of</strong> 30 nm results in a 10 nm red-shiv <strong>of</strong> the resonance peak. For much<br />
smaller spacing the effect is much more drama;c, resul;ng in 100 nm and 125 nm red-shivs for a spacing<br />
<strong>of</strong> 4 nm and 2 nm respec;vely.<br />
Closely-spaced nanopar;cle pairs exhibit strong polariza;on sensi;vity, as coupling effects are much<br />
weaker for incident light polarized perpendicular to the par;cle pair axis. Complete transfer <strong>of</strong> energy<br />
from one nanopar;cle can occur via dipole-dipole interac;on, leading to the idea <strong>of</strong> sub-wavelength<br />
waveguides based on linear chains <strong>of</strong> metal nanopar;cles. The principle interest in coupled metal<br />
nanopar;cle dimers is the intense electric field enhancement observed in the gap between the par;cles,<br />
which is far larger than those obtained around isolated par;cles. These are found to be strongly related to<br />
the interpar;cle separa;on, with smaller distances producing larger field enhancement.<br />
Par;cles arranged in a periodic patern will scater photons coherently, leading to a change in the<br />
observed far-field scatering spectrum due to interac;on between scatered photons. Periodic<br />
arrangements <strong>of</strong> nanopar;cles form a diffrac;on gra;ng, and coupling <strong>of</strong> LSPs to evanescent or radia;ng<br />
gra;ng modes alters the ex;nc;on spectrum from that <strong>of</strong> isolated nanopar;cles. Essen;ally the<br />
diffrac;on gra;ng imposes restric;ons on the angular distribu;on <strong>of</strong> scatering, and so inhibits or<br />
strengthens scatering at given wavelength. Therefore the op;cal proper;es <strong>of</strong> a periodic array <strong>of</strong><br />
nanopar;cles depend on the gra;ng period in addi;on to the proper;es <strong>of</strong> the individual nanopar;cles.