Given a known bulk plasma frequency (say 3.7 PHz for aluminium), and a known incident wavelength (say 500nm), what's the expression for the relative permittivity of the metal?
For context, consider a plasmonic device that acts as a filter, with a nanoscale grid of holes in metal.
The maximum transmission wavelength at normal incidence is given by lambdamax = (a / sqrt(i2 + j2)) * sqrt((Em * Ed) / (Em + Ed))
Here, Em is the metal permittivity of interest, Ed is the permittivity of the dielectric substrate, say 4(ish) for SiO2.
(a is the lattice spacing.)
https://www.intechopen.com/books/plasmo ... al-imaging
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