- #1
Plant_Boy
- 15
- 1
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.
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 in nAg = 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:
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 in nAg = 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]
[itex] ε_1 = n - κ^2; ε_2 = 2nκ [/itex]
*Possible contradiction in Wikipedia vs. Ulaby*[itex] ε_1 = n - κ^2; ε_2 = 2nκ [/itex]
Ulaby states - [itex] ε = ε' - jε''[/itex]
Wikipedia states - [itex] ε = ε_1 + jε_2 [/itex]
So, does:Wikipedia states - [itex] ε = ε_1 + jε_2 [/itex]
[itex] 2nκ = \frac {σ}{ω} [/itex]
Where:
n - real part refractive index
κ - Complex part refractive index
σ - conductivity
ω - angular frequency
I 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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