P7 – Scattering of Surface Plasmon Polaritons by Gold ... - repetit.dk
P7 – Scattering of Surface Plasmon Polaritons by Gold ... - repetit.dk
P7 – Scattering of Surface Plasmon Polaritons by Gold ... - repetit.dk
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(a) (b)<br />
3.2. VECTORIAL MODEL RESULTS<br />
Figure 3.2: Numerical results from the scalar model showing reflection <strong>of</strong> SPPs <strong>of</strong>f a mirror structure.<br />
In both images the SPP is incident from the left with a wavelength <strong>of</strong> 700 nm. Fig. 3.2(a) is a mirror<br />
structure with lattice constant 700 nm, and Fig. 3.2(b) is a mirror structure with lattice constant 200<br />
nm.<br />
scatterers. For certain combinations <strong>of</strong> SPP wavelength and configuration <strong>of</strong> scatterers, SPP<br />
propagation is inhibited inside the array. In Fig. 3.3(a) a periodic array <strong>of</strong> 20×30 scatters<br />
with a scatterer distance <strong>of</strong> 300 nm is shown. The plasmon is incident from the left with a<br />
wavelength <strong>of</strong> 685 nm. It is seen that the array block SPP propagation, the intensity on the<br />
right side <strong>of</strong> the array is very weak. The SPP is almost completely reflected and the intensity<br />
decreases inside and along the array. In Fig. 3.3(b) the same structure is shown but with three<br />
rows missing. Here it is seen that there is still a large reflection, but that SPPs are also guided<br />
through the channel. The highest intensity is found just outside the end <strong>of</strong> the channel.<br />
For the waveguide to guide the light only through the channels, it is necessary that the wavelength<br />
<strong>of</strong> the incident SPP lies somewhere in the SPP bandgap (SPPBG) <strong>of</strong> the array. If this<br />
is not the case, the SPP will propagate through and inside the structure even if there are no<br />
missing rows.<br />
3.2 Vectorial Model Results<br />
In the last section the results from the scalar model were presented. In this section the results<br />
from the vectorial model are shown. The results are based on the theory described in Sec. 2.4.<br />
As in the last section all images have the origin in the middle <strong>of</strong> the image, the positive x-axis<br />
is directed to the right and the positive y-axis is directed upwards. In all images the SPP is<br />
incident from the left.<br />
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