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M3P2
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b72bf455
Commit
b72bf455
authored
Sep 26, 2022
by
Claude Meny
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Update cheatsheet.fr.md
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@@ -215,18 +215,24 @@ Pour tout rayon incident impactant une surface :
*Loi de la réflection*
:
**$`\large{\mathbf{i_{réflec} = i_{incid}}}`$**
!!!!
*Attention*
:
!!!! Si les
*angles*
sont exprimés
*en notation algébrique*
, la loide lé réflexion devient
!!!!
**$`\large{\mathbf{i_{réflec} = - i_{incid}}}`$**
<br>
*Loi de la réfraction (Snell-Descartes)*
: pour $
`\mathbf{i_{incid}}`
$ donné :
*
si $
`\mathbf{\dfrac{n_{incid}}{n_{émerg}}\cdot\sin(i_{incid})\leqslant1}`
$ alors
**phénomène de réfraction**
:
<br><br>
**$`\large{\mathbf{n_{émerg}\cdot sin\,(i_{émerg})=n_{incid}\cdot sin\,(i_{incid})}}`$**
<br>
*
*si $`\dfrac{n_{incid}}{n_{émerg}}\cdot\sin(i_{incid})\leqslant1`$*
alors
**phénomène de réfraction**
:
<br><br>
**$`\large{n_{émerg}\cdot sin\,(i_{émerg})=n_{incid}\cdot sin\,(i_{incid})}`$**
<br>
<br>
*
si $
`\mathbf{\dfrac{n_{incid}}{n_{emerg}}\cdot\sin(i_{incid})>1}`
$
alors
**phénomène de réflexion totale**
:
<br>
*
*si $`\dfrac{n_{incid}}{n_{emerg}\cdot\sin(i_{incid})>1}`$*
alors
**phénomène de réflexion totale**
:
<br>
*rayon réfléchi*
sur l'interface en vérifiant la loi de la réflexion :
<br><br>
**$`\large
\mathbf{i_{réflec} = i_{incid}
}}`$**
**$`\large
{i_{réflec} = i_{incid
}}`$**
*
**Angle**
*d'incidence*
**limite de réflexion totale**
:
<br><br>
$
`\large{\mathbf{i_{\text{incid. limit}}=\arcsin\left (\dfrac{n_{émerg}}{n_{incid}}\right)}}`
$
**
*$`\Longrightarrow \large{\mathbf{i_{émerg}=\pi/2\:rad = 90 °}
}`$*
**$`\large{i_{limite}}=\arcsin\left (\dfrac{n_{émerg}}{n_{incid}}\right)}`$**
*$`\Longrightarrow \large{i_{émerg}=\pi/2\:rad = 90 °
}`$*
_Phénomènes de réflexion et réfraction à une surface réfractante._
...
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