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Display information for equation id:math.1199.1125 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.1125)

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Hash: dd08427fb5ad2ae188d35b8f0fac4781

TeX (original user input):

\begin{align}
& \frac{\omega }{{{c}_{1}}}=\left| {\bar{k}} \right|=\left| \bar{k}\acute{\ } \right|=\frac{\omega \acute{\ }}{{{c}_{1}}} \\
& \left| \bar{k}\acute{\ }\acute{\ } \right|=\frac{\omega \acute{\ }\acute{\ }}{{{c}_{2}}} \\
& {{c}_{i}}=\frac{c}{{{n}_{i}}}=\frac{c}{\sqrt{{{\varepsilon }_{i}}}}\quad i=1,2 \\
& \bar{E}(\bar{r},t)={{{\bar{E}}}_{0}}{{e}^{i\left( \bar{k}\bar{r}-\omega t \right)}} \\
\end{align}

TeX (checked):

{\begin{aligned}&{\frac {\omega }{{c}_{1}}}=\left|{\bar {k}}\right|=\left|{\bar {k}}{\acute {\ }}\right|={\frac {\omega {\acute {\ }}}{{c}_{1}}}\\&\left|{\bar {k}}{\acute {\ }}{\acute {\ }}\right|={\frac {\omega {\acute {\ }}{\acute {\ }}}{{c}_{2}}}\\&{{c}_{i}}={\frac {c}{{n}_{i}}}={\frac {c}{\sqrt {{\varepsilon }_{i}}}}\quad i=1,2\\&{\bar {E}}({\bar {r}},t)={{\bar {E}}_{0}}{{e}^{i\left({\bar {k}}{\bar {r}}-\omega t\right)}}\\\end{aligned}}

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ωc1=|k¯|=|k¯´|=ω´c1|k¯´´|=ω´´c2ci=cni=cεii=1,2E¯(r¯,t)=E¯0ei(k¯r¯ωt)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x03C9;</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03C9;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03C9;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></msqrt></mrow></mrow></mfrac></mrow><mspace width="1em"></mspace><mi>i</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo>=</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x2212;</mo><mi>&#x03C9;</mi><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></msup></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Elektrodynamik Schöll page

Identifiers

  • ω
  • c1
  • k¯
  • k¯
  • ´
  • ω
  • ´
  • c1
  • k¯
  • ´
  • ´
  • ω
  • ´
  • ´
  • c2
  • ci
  • c
  • ni
  • c
  • εi
  • i
  • E¯
  • r¯
  • t
  • E¯0
  • e
  • i
  • k¯
  • r¯
  • ω
  • t

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