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Display information for equation id:math.2159.18 on revision:2159

* Page found: Wellenausbreitung in Materie (eq math.2159.18)

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Wellenausbreitung in Materie Eq: math.2160.18

Hash: 2b5699358178d343477a7dd31138de17

TeX (original user input):

\begin{align}
& {{\left( \nabla \times \bar{E} \right)}_{2}}=\frac{\partial {{E}_{1}}}{\partial {{x}_{3}}}=-{{{\dot{B}}}_{2}} \\
& \Leftrightarrow i\frac{\omega }{c}\left( n+i\gamma  \right){{E}_{1}}=i\omega {{B}_{2}} \\
& \Leftrightarrow {{B}_{2}}=\frac{\left( n+i\gamma  \right)}{c}{{E}_{1}}=\frac{\sqrt{{{n}^{2}}+{{\gamma }^{2}}}}{c}{{e}^{i\phi }}{{E}_{1}} \\
\end{align}

TeX (checked):

{\begin{aligned}&{{\left(\nabla \times {\bar {E}}\right)}_{2}}={\frac {\partial {{E}_{1}}}{\partial {{x}_{3}}}}=-{{\dot {B}}_{2}}\\&\Leftrightarrow i{\frac {\omega }{c}}\left(n+i\gamma \right){{E}_{1}}=i\omega {{B}_{2}}\\&\Leftrightarrow {{B}_{2}}={\frac {\left(n+i\gamma \right)}{c}}{{E}_{1}}={\frac {\sqrt {{{n}^{2}}+{{\gamma }^{2}}}}{c}}{{e}^{i\phi }}{{E}_{1}}\\\end{aligned}}

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MathML (2.959 KB / 526 B) :

\begin{matrix} {(\nabla \times \bar{E})}_{2} = \frac{\partial E_{1}}{\partial x_{3}} = - {\dot{B}}_{2} \\ \Leftrightarrow i \frac{ω}{c} (n + i γ) E_{1} = i ω B_{2} \\ \Leftrightarrow B_{2} = \frac{(n + i γ)}{c} E_{1} = \frac{\sqrt{n^{2} + γ^{2}}}{c} e^{i ϕ} E_{1} \end{matrix}

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Identifiers

${\bar{E}}_{2}$

$E_{1}$

$x_{3}$

${\dot{B}}_{2}$

$i$

$ω$

$c$

$n$

$i$

$γ$

$E_{1}$

$i$

$ω$

$B_{2}$

$B_{2}$

$n$

$i$

$γ$

$c$

$E_{1}$

$n$

$γ$

$c$

$e$

$i$

$ϕ$

$E_{1}$

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