Complex dielectric constant -- metals, insulators and Reflections

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SUMMARY

The discussion centers on the physical meaning of the complex dielectric constant, particularly in relation to metals and insulators. The equation for reflectivity, R = ((n-1)² + k²) / ((n+1)² + k²), indicates that a high extinction coefficient (K) correlates with high reflectivity (R). Metals exhibit high values of K due to their high free electron density, resulting in significant absorption and reflectivity, while insulators typically show low values of K. The complex part of the dielectric constant arises from the material's absorptive properties, modeled through complex permittivity.

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  • Understanding of complex dielectric constant and its components
  • Familiarity with electromagnetic wave propagation
  • Knowledge of reflectivity equations in optics
  • Basic concepts of material properties, including permittivity and permeability
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Carlos de Meo
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Hi everyone
Can anyone help me understanding the physical meaning for the complex dielectric constant?
Assuming a electromagnetic wave from air to a conductor, the following equation is valid
R= ((n-1)2+k2)/((n+1)2+k2) where K is the extinction coefficient (the complex part of the complex refraction index)
So, High K means high R
K= ((ε12+ε22)1/2-ε1)1/2
As far as i know, metals tend to exhibit high reflectivity due to high values of K, correct?
And insulators in general, low values of K, also correct?
So, according to some literature, the high values of K comes from high values of ε2. Also correct?
And, to finish, where does the ε2 comes from, is it due to high free electrons density?
Thank you very much for your time
 
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Carlos de Meo said:
Hi everyone
Can anyone help me understanding the physical meaning for the complex dielectric constant?

Allowing the dielectric constant/permittivity/permeability/etc. to be complex-valued is a way to model absorptive materials. Recall that an electromagnetic wave propagates through media with a phase term exp(ikz), so if k is complex-valued, the amplitude decreases exponentially with propagation distance.

There are a few wrinkles to this- left handed materials, for example.
 
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And the complex part of these models comes from the absorption due to the high free electrons density?
 

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