I have a process of thought and would like to run past some other minds to point out if I am incorrect in my thinking.(adsbygoogle = window.adsbygoogle || []).push({});

I am looking into conductivity in high frequencies and a lot of papers I am looking up list a complex refractive index. They list something as inn_{Ag}= 0.1453 +j11.3587. (Excuse the imaginary symbol, j, I come from an electrical engineering background.)

Various sources inform that [itex]n = \sqrt {ε_r} [/itex]. [Link]

Also that [itex] ε = ε' - jε'' = ε_1 - j \frac {σ}{ω}[/itex] [Electromagnetics for Engineers; Fawwaz T Ulaby]

We can get from [Wikipedia.org] that:

[itex] ε = ε_1 + jε_2 = (n + j κ)^2 = n^2 + j 2nκ - κ^2 [/itex]*Possible contradiction in Wikipedia vs. Ulaby*

[itex] ε_1 = n - κ^2; ε_2 = 2nκ [/itex]

Ulaby states - [itex] ε = ε' - jε''[/itex]So, does:

Wikipedia states - [itex] ε = ε_1 + jε_2 [/itex]

[itex] 2nκ = \frac {σ}{ω} [/itex]Where:

n - real part refractive indexI am kind of running this by so that someone can say "Yup" but also, I think, writing it down helps me to understand a little better. Also, this is the first time of me using LaTeX and wanted to keep trying it out.

κ - Complex part refractive index

σ - conductivity

ω - angular frequency

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# The complex refractive index vs. permittivity

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