C++ source code: herve15c.c
herve15c.gif
C++ code: c:\nan2\herve15d.cpp
herve15d.gif
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Dependence of Plasmon Resonance Frequency on Ellipsoid Shape: |
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This is based on Figure 1.5 on page 24 of Hervé Portales'
2001 thesis. I make the simplifying assumption here that the effect of the
d electrons is simply to add 3 to the susceptibility inside the nanoparticle.
The correct frequency dependence of the d electron permittivity is shown
in Figure 1.3 on page 18 of the thesis. My figure agrees well with
Hervé's figure as long as ω is low. There is some disagreement
when ω is high, which makes sense since the d electron permittivity
peaks when ω reaches 4 eV.
I also assumed that the relative permittivity of
Al2O3 is 3 since I couldn't
find the correct value. C++ source code: herve15c.c herve15c.gif |
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For this next version I fitted Re(ε(d))
for silver from Figure 1.3 on page 18 of the thesis. Below
4 eV it is well approximated by Re(ε(d)) = 3.7 + 0.03 ω3
where ω is in electron volts. This graph closely matches
Figure 1.5 on page 24 of the thesis. C++ code: c:\nan2\herve15d.cpp herve15d.gif |
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