Lorenzo Stella edited Plasmonics.tex  over 9 years ago

Commit id: 95d22c247a96aa21a8916cdfaa939ee0a7e9ef39

deletions | additions      

       

indicates a time average.   Large field enhancements are the key to single molecule surface-enhanced  Raman spectroscopy (SERS) and values as large as $h\approx1000$ $h>100$  (the intensity of the SERS signal scales as $h^{4}$) are predicted by  classical electromagnetic calculations.\cite{Kneipp_2002}  In classical calculations the electronic response is model by the 

the plasma frequency, $\omega_{p}$, and the relaxation rate, $\gamma$,  are: $\epsilon_{\infty}=9.5$, $\hbar\omega=8.95$ eV and $\hbar\gamma=69.1$  meV.\cite{Grady_2004} Non-local correction to the Drude  model can be also included by considering the plasmon dispersion.\cite{Dobson_2000} dispersion.\cite{Dobson_2000,Raza_2011}  The metal (complex) permittivity then reads  %  \begin{equation}\label{eq:non-local-optics}