Surface plasmons
Surface plasmons
Surface plasmons
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Dielectric constant of metal : Drude model<br />
σω ( )<br />
εEFF ( ω) = εB+<br />
i<br />
εω o<br />
= ε + i<br />
1 ⎛ σ ⎞<br />
= ε + i<br />
σ (1 + iωτ)<br />
B<br />
o<br />
⎜ ⎟<br />
ε oω⎝1 − iωτ<br />
⎠<br />
B<br />
o<br />
2 2<br />
εoω(1 + ω τ )<br />
B<br />
2 2<br />
ωτ p<br />
2 2 i<br />
2 2<br />
ωτ p<br />
3 3<br />
⎛ ⎞ ⎛ ⎞<br />
= ⎜ε− +<br />
⎜<br />
⎟ ⎜ ⎟<br />
1+<br />
ωτ ⎟ ⎜ωτ+ ωτ ⎟<br />
⎝ ⎠ ⎝ ⎠<br />
σ<br />
ne<br />
2<br />
2 o<br />
where, ω p = = : bulk plasma frequency ( ∼10<br />
eV for metal)<br />
ετ o εome<br />
Plasma frequency
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