diff --git a/01.curriculum/01.physics-chemistry-biology/02.Niv2/04.optics/04.use-of-basic-optical-elements/01.plane-refracting-surface/02.plane-refracting-surface-overview/cheatsheet.en.md b/01.curriculum/01.physics-chemistry-biology/02.Niv2/04.optics/04.use-of-basic-optical-elements/01.plane-refracting-surface/02.plane-refracting-surface-overview/cheatsheet.en.md index b0927a932..0dd8733f0 100644 --- a/01.curriculum/01.physics-chemistry-biology/02.Niv2/04.optics/04.use-of-basic-optical-elements/01.plane-refracting-surface/02.plane-refracting-surface-overview/cheatsheet.en.md +++ b/01.curriculum/01.physics-chemistry-biology/02.Niv2/04.optics/04.use-of-basic-optical-elements/01.plane-refracting-surface/02.plane-refracting-surface-overview/cheatsheet.en.md @@ -162,4 +162,30 @@ You know $`\overline{SA_{obj}}`$, $`n_{inc}`$ and $`n_{eme}`$, you have previous ! Copy this result into (equ.2) leads to $`\overline{M_T}=+1`$. -#### Graphical study \ No newline at end of file +#### Graphical study + +##### 1 - Determining object and image focal points + +Positions of object focal point F and image focal point F’ are easily obtained from the conjunction equation (equ. 1). + +* Image focal length $`\overline{OF'}`$ : $`\left(|\overline{OA_{obj}}|\rightarrow\infty\Rightarrow A_{ima}=F'\right)`$
+    (equ.1)$`\Longrightarrow\dfrac{n_{eme}}{\overline{SF'}}=\dfrac{n_{eme}-n_{inc}}{\overline{SC}}\Longrightarrow\overline{SF'}=\dfrac{n_{eme}\cdot\overline{SC}}{n_{eme}-n_{inc}}`$ + +* Object focal length $`\overline{OF}`$ : $`\left(|\overline{OA_{ima}}|\rightarrow\infty\Rightarrow A_{obj}=F\right)`$
+    (equ.1) $`\Longrightarrow-\dfrac{n_{inc}}{\overline{SF}}=\dfrac{n_{eme}-n_{inc}}{\overline{SC}}\Longrightarrow\overline{SF}=-\dfrac{n_{inc}\cdot\overline{SC}}{n_{eme}-n_{inc}} +`$ + +##### 2 - Thin spherical refracting surface representation + +* **Optical axis = revolution axis** of the refracting surface, positively **oriented** in the direction of +propagation of the light (from the object towards the refracting surface) + +* Thin spherical refracting surface representation :

+\- **line segment**, perpendicular to the optical axis, centered on the axis with symbolic +**indication of the direction of curvature** of the surface at its extremities.

+\- **vertex S**, that locates the refracting surface on the optical axis.

+\- **nodal point C = center of curvature**.

+\- **object focal point F and image focal point F’**. + + +