# PLASMONICS - Exercise

#### Luiz Fernando Vieira

Joined Aug 24, 2015
63
Hi I'm having difficulties with the plasmonica exercise, I sell some books and scientific publications I came across that there are two or more ways to get the result but I don't know what the correct sequence is.

Values: τ, γ and mainly ωp^(2).

ωp^(2)= in most of the literature = Design and Application of Plasmonic Devices - A Thesis and
PLASMONICS: FUNDAMENTALS AND APPLICATIONS - STEFAN A. MAIER

And research I found that gets confusing: Optical properties of the metals Al, Co, Cu, Au, Fe, Pb, Ni, Pd, Pt, Ag, Ti, and W in the infrared and far infrared

Here is the question of the exercise, resolution and research material.

Obtain an expression for the electrical permittivity of a metal ε(ω) in the low-frequency regime in the free electron model. Using this expression determine the electrical permittivity of Au, Ag and Cu for a frequency of 10 GHz (microwave region). Tip get the necessary parameters for calculations from reported literature.

Souce

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#### Delta Prime

Joined Nov 15, 2019
1,311
Hello there. the following is an excerpt of Infrared optical constants collected from the literature . The data for the noble metals and Al, Pb, and W can be reasonably fit using the Drude model. It is shown that -epsilon1(omega) = epsilon2(omega) approximately omega(2)(p)/(2omega(2)(tau)) at the damping frequency omega = omega(tau). Also -epsilon1(omega(tau)) approximately - (1/2) epsilon1(0), where the plasma frequency is omega(p).
https://pubmed.ncbi.nlm.nih.gov/18195926/