Surface Plasmon Polaritons (SPPs) - Introduction and basic properties
Surface Plasmon Polaritons (SPPs) - Introduction and basic properties
Surface Plasmon Polaritons (SPPs) - Introduction and basic properties
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generally:<br />
2 2 2<br />
kx + k y + kz<br />
at interface metal/dielectric:<br />
kzd<br />
ε<br />
d<br />
0<br />
+<br />
k<br />
ε<br />
zm<br />
m<br />
=<br />
= 0<br />
k<br />
2<br />
2<br />
ω<br />
ε<br />
2<br />
c<br />
Dispersion relation of <strong>SPPs</strong><br />
k<br />
k<br />
k<br />
2<br />
x<br />
2<br />
zd<br />
k =<br />
2<br />
zm<br />
xd<br />
k<br />
xm<br />
2<br />
⎛ ω ⎞<br />
= ⎜ ⎟<br />
⎝ c ⎠<br />
2<br />
⎛ ω ⎞<br />
= ⎜ ⎟<br />
⎝ c ⎠<br />
ε mε<br />
d<br />
ε + ε<br />
2<br />
⎛ ω ⎞<br />
= ⎜ ⎟<br />
⎝ c ⎠<br />
m<br />
d<br />
( ε + ε )<br />
m<br />
ε<br />
2<br />
d<br />
d<br />
( ε + ε )<br />
m<br />
ε<br />
2<br />
m<br />
d<br />
dielectric:<br />
metal:<br />
2 2<br />
kx + kzd<br />
= ε d<br />
2 2<br />
kx + kzm<br />
= ε m<br />
2<br />
ω<br />
2<br />
c<br />
2<br />
ω<br />
2<br />
c<br />
( ε m ) < 0 <strong>and</strong> ε m > ε d real kx<br />
Re →<br />
k zd <strong>and</strong> k zm are imaginary
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