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Display information for equation id:math.1199.1090 on revision:1199
* Page found: Elektrodynamik Schöll (eq math.1199.1090)
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Hash: 0070a913a74f1e0e400bb6ea4c236b62
TeX (original user input):
\begin{align}
& \tilde{n}\left( \omega \right)=n\left( \omega \right)+i\gamma \left( \omega \right) \\
& \tilde{n}{{\left( \omega \right)}^{2}}=\varepsilon \left( \omega \right)\equiv \varepsilon \acute{\ }+i\varepsilon \acute{\ }\acute{\ } \\
& \varepsilon \acute{\ }\left( \omega \right)={{n}^{2}}-{{\gamma }^{2}} \\
& \varepsilon \acute{\ }\acute{\ }\left( \omega \right)=2n\gamma \\
& \Rightarrow \left. \begin{matrix}
\gamma \\
n \\
\end{matrix} \right\}=\frac{1}{\sqrt{2}}{{\left( \sqrt{\varepsilon {{\acute{\ }}^{2}}+\varepsilon \acute{\ }{{\acute{\ }}^{2}}}\mp \varepsilon \acute{\ } \right)}^{\frac{1}{2}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{\tilde {n}}\left(\omega \right)=n\left(\omega \right)+i\gamma \left(\omega \right)\\&{\tilde {n}}{{\left(\omega \right)}^{2}}=\varepsilon \left(\omega \right)\equiv \varepsilon {\acute {\ }}+i\varepsilon {\acute {\ }}{\acute {\ }}\\&\varepsilon {\acute {\ }}\left(\omega \right)={{n}^{2}}-{{\gamma }^{2}}\\&\varepsilon {\acute {\ }}{\acute {\ }}\left(\omega \right)=2n\gamma \\&\Rightarrow \left.{\begin{matrix}\gamma \\n\\\end{matrix}}\right\}={\frac {1}{\sqrt {2}}}{{\left({\sqrt {\varepsilon {{\acute {\ }}^{2}}+\varepsilon {\acute {\ }}{{\acute {\ }}^{2}}}}\mp \varepsilon {\acute {\ }}\right)}^{\frac {1}{2}}}\\\end{aligned}}
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