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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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