Commit aa9d3c43 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent b6aabe7a
Pipeline #4895 canceled with stage
......@@ -655,21 +655,16 @@ $`=\phi_{géo}`$
*Calcul de l'amplitude totale*
* **Interférences en réflexion** : rappel, on se limite aux *deux premiers faisceaux*.<br>
<br>
$`\underline{A}_{\,tot}=A\cdot r_{12} + A \cdot r_{21} \cdot t_{12} \cdot t_{21} \cdot e^{\displaystyle\,i\,\phi_{géo}}`$<br>
<br>
Comme $`r_{21}=-1\cdot r_{12}=e^{\,i\,\pi}\cdot r_{12}`$<br>
<br>
$`\underline{A}_{\,tot}=A\cdot r_{12}\cdot`$
<br>$`\underline{A}_{\,tot}=A\cdot r_{12} + A \cdot r_{21} \cdot t_{12} \cdot t_{21} \cdot e^{\displaystyle\,i\,\phi_{géo}}`$<br>
<br>Comme $`r_{21}=-1\cdot r_{12}=e^{\,i\,\pi}\cdot r_{12}`$<br>
<br>$`\underline{A}_{\,tot}=A\cdot r_{12}\cdot`$
$`\;\left( 1 + e^{\,i\,\pi}\cdot t_{12} \cdot t_{21} \cdot e^{\displaystyle\,i\,(\phi_{géo}+\phi_{ref})}\right)`$
$`\;=A\cdot r_{12}\cdot \left( 1 + \cdot t_{12} \cdot t_{21} \cdot e^{\displaystyle\,i\,(\phi_{géo}+\pi)}\right)`$
$`\;=A\cdot r_{12}\cdot \left( 1 + \cdot t_{12} \cdot t_{21} \cdot e^{\displaystyle\,i\,(\phi_{géo}+\phi_{ref})}\right)`$
<br>
<br> nous voyons bien qu'*au final* le déphasage des deux ondes est *$`\phi=\phi_{géo}+\phi_{ref}`$*.<br>
<br>
Comme $`T=t_{12}\cdot t_{12}\simeq 1`$, nous faisons l'**approximation $`T=t_{12}=t_{12}=1`$**.<br>
<br>
**$`\underline{A}_{\,tot}=A\cdot r_{12}\cdot \left( 1 +e^{\displaystyle\,i(\phi_{géo}+\phi_{ref})}\right)`$**
<br>Comme $`T=t_{12}\cdot t_{12}\simeq 1`$, nous faisons l'**approximation $`T=t_{12}=t_{12}=1`$**.<br>
<br>**$`\underline{A}_{\,tot}=A\cdot r_{12}\cdot \left( 1 +e^{\displaystyle\,i(\phi_{géo}+\phi_{ref})}\right)`$**
$`=\,A\cdot r_{12}\cdot \left( 1 +e^{\displaystyle\,i \left( \dfrac{\,4\,\pi\,n_2\,e\cdot cos\,\theta_2}{\lambda}+\pi \right)} \right)`$
!!!! *Attention :*
......
Markdown is supported
0% or
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!
Please register or to comment