Proceedings of Topical Meeting on Optoinformatics (pdf-format, 1.21 ...
Proceedings of Topical Meeting on Optoinformatics (pdf-format, 1.21 ... Proceedings of Topical Meeting on Optoinformatics (pdf-format, 1.21 ...
54 OPTOINFORMATICS’05 MODELLING RIGOROUS DIFFRACTION FROM 3D SUB-WAVELENGTH STRUCTURES J.M. Brok a & H.P. Urbach a,b a Delft University
SAINT-PETERSBURG, October 17 – 20, 2005 55 First setup Incident E perpendicular to line that connects centers
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SAINT-PETERSBURG, October 17 – 20, 2005 55<br />
First setup<br />
Incident E perpendicular to line that c<strong>on</strong>nects centers <str<strong>on</strong>g>of</str<strong>on</strong>g> holes<br />
2.6<br />
two holes<br />
2.4<br />
three holes<br />
Sec<strong>on</strong>d<br />
Figure 2 shows some results for two<br />
setups: in the first we have two<br />
identical holes and in the sec<strong>on</strong>d we<br />
have three identical holes, both with<br />
their centers aligned. The holes are<br />
cubic: L x = L y = D = λ/4, with λ the<br />
wavelength <str<strong>on</strong>g>of</str<strong>on</strong>g> the incident light. The<br />
distance between the centers <str<strong>on</strong>g>of</str<strong>on</strong>g> the<br />
holes is varied. We show the energy<br />
flux through <strong>on</strong>e hole (the center<br />
hole for the sec<strong>on</strong>d case), normalised<br />
by the energy flux through an<br />
identical, solitary hole. Note that this<br />
energy need not reach the far field, it<br />
may scatter into evanescent<br />
c<strong>on</strong>tributi<strong>on</strong>s below the layer. In the<br />
top figure, the incident field is a<br />
perpendicular incident, S-polarised<br />
plane wave. In the lower figure, the<br />
incident field is P-polarised.<br />
Enhancement <str<strong>on</strong>g>of</str<strong>on</strong>g> the energy flux<br />
occurs <strong>on</strong>ly for holes that are very<br />
near for the S-polarised incident<br />
field, whereas for P-polarisati<strong>on</strong>,<br />
both enhancement and attenuati<strong>on</strong><br />
occur for larger distances between<br />
0.8<br />
0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2<br />
distance (units <str<strong>on</strong>g>of</str<strong>on</strong>g> wavelengths) between centers <str<strong>on</strong>g>of</str<strong>on</strong>g> holes<br />
Fig. 2. Normalised energy flux through a hole as a functi<strong>on</strong><br />
<str<strong>on</strong>g>of</str<strong>on</strong>g> distance between the holes. Solid line for the case <str<strong>on</strong>g>of</str<strong>on</strong>g><br />
two identical holes, dotted line for three identical holes.<br />
the holes. This points to the c<strong>on</strong>tributi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> plasm<strong>on</strong> effects in the latter case, whereas for<br />
S-polarisati<strong>on</strong> enhancement is mainly due to evanescent fields.<br />
This research was supported by the Dutch Technology Foundati<strong>on</strong> STW.<br />
normalized energy flux<br />
normalized energy flux<br />
2.2<br />
1.8<br />
1.6<br />
1.4<br />
1.2<br />
1. T.W. Ebbesen, H.J. Lezec, H.F. Ghaemi, T. Thio and P.A. Wolff, Extraordinary<br />
optical transmissi<strong>on</strong> through sub-wavelength hole arrays, Nature 391, 667-669<br />
(1998).<br />
2. A. Roberts, Electromagnetic theory <str<strong>on</strong>g>of</str<strong>on</strong>g> diffracti<strong>on</strong> by a circular aperture in a thick,<br />
perfectly c<strong>on</strong>ducting screen, J. Opt. Soc. Am. A, Vol. 4, No. 10, 1970-1983, (1987).<br />
3. J.M. Brok and H.P. Urbach, A mode expansi<strong>on</strong> technique for rigorously calculating the<br />
scattering from 3D structures in optical recording, J. Mod. Opt., Vol. 51, No 14, 2059-<br />
2077 (2004).<br />
2<br />
1<br />
1.6<br />
1.4<br />
1.2<br />
1<br />
0.8<br />
0.6<br />
0.4<br />
Incident E parallel to line that c<strong>on</strong>nects centers <str<strong>on</strong>g>of</str<strong>on</strong>g> holes<br />
two holes<br />
three holes<br />
0.2<br />
0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2<br />
distance (units <str<strong>on</strong>g>of</str<strong>on</strong>g> wavelengths) between centers <str<strong>on</strong>g>of</str<strong>on</strong>g> holes