Negative permittivity of metals – light-trapping and plasmon

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SUMMARY

The discussion focuses on the phenomenon of negative permittivity in metals and its implications for light-trapping through plasmonics, specifically Localized Surface Plasmon Resonance (LSPR) and Surface Plasmon Polariton (SPP). It is established that negative permittivity occurs when the incident wave frequency is below the plasma frequency (ωp), causing free electrons to reflect the wave. Conversely, when the frequency exceeds ωp, permittivity becomes positive, allowing wave penetration. The inquiry also addresses the apparent contradiction of light-trapping despite the reflective nature of negative permittivity, referencing a paper on electromagnetic radiation trapping in metamaterials.

PREREQUISITES
  • Understanding of negative permittivity (ε) and its mathematical representation ε=ε0(1-ω2p/ω2)
  • Familiarity with plasma frequency (ωp) and its significance in electromagnetic wave interactions
  • Knowledge of plasmonics, specifically Localized Surface Plasmon Resonance (LSPR) and Surface Plasmon Polariton (SPP)
  • Basic concepts of metamaterials and their properties related to electromagnetic radiation
NEXT STEPS
  • Research the mathematical modeling of negative permittivity in metals and its applications in plasmonics
  • Explore the principles of Localized Surface Plasmon Resonance (LSPR) and its role in light-trapping technologies
  • Investigate the characteristics of Surface Plasmon Polariton (SPP) and its implications for optical devices
  • Examine the properties of metamaterials and their potential for trapping electromagnetic radiation
USEFUL FOR

Researchers in optics, materials scientists, and engineers focused on plasmonics and metamaterials, as well as anyone interested in the advanced applications of negative permittivity in light-trapping technologies.

shishi
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Negative permittivity of metals – The effect of light-trapping via plasmonics

I’m trying to understand the effect of light-trapping by plasmonics (for example - Localized Surface Plasmon Resonance, Surface Plasmon Polariton, Scattered Plasmons), and how negative permittivity related to that?

To the best of my knowledge, negative permittivity (ε) occurs when incident wave below the plasma frequencyp) strikes a bulk metal. In this case, the free electrons can move in a way that cancel the incident wave, and the wave will reflected from the metal (mirror-like). If the frequency of the incident wave will be above the plasma frequency, the permittivity will be positive and the electrons cannot move in a way that cancel the incident wave, and the wave will penetrate to the metal.

ε=ε0(1-ω2p2)

When people speaking about light-trapping (antenna-like) using plasmons, one of the critics is negative permittivity and I don’t understand how the light can be trapped (because it should we reflected, mirror-like)?

Any input on this matter will be highly appreciated :)
 
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I wonder if you have seen the following paper:-
http://www.frdint.com/physics_of_electrostatic_resonance.pdf
It is about the trapping of EM radiation in meta materials with negative permittivity. But I am not sure if a homogenous piece of ordinary metal also behaves as a meta material at frequencies below the plasmon resonance.
 

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