Solve for n (complex solution)
\left\{\begin{matrix}n=\left(\frac{\sigma }{\epsilon }\right)^{2}\text{, }&\sigma \neq 0\text{ and }arg(\epsilon )<\pi \text{ and }\epsilon \neq 0\\n\neq 0\text{, }&\epsilon =0\text{ and }\sigma =0\end{matrix}\right.
Solve for ε (complex solution)
\epsilon =\sqrt{\frac{\sigma ^{2}}{n}}
n\neq 0
Solve for n
\left\{\begin{matrix}n=\left(\frac{\sigma }{\epsilon }\right)^{2}\text{, }&\sigma \neq 0\text{ and }\epsilon >0\\n\neq 0\text{, }&\sigma =0\text{ and }\epsilon =0\end{matrix}\right.
Solve for ε
\epsilon =\sqrt{\frac{\sigma ^{2}}{n}}
\left(\sigma =0\text{ and }n\neq 0\right)\text{ or }n>0
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