From 660ee44688b81019c613a493a64e29942ab3d6dd Mon Sep 17 00:00:00 2001 From: Claude Meny Date: Thu, 18 Mar 2021 15:05:43 +0100 Subject: [PATCH] Deleted 01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/cheatsheet.fr.md, 01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/ray-optics-spherical-refracting-surface-non-stigmatism-paraxial-gauss-approximation_serieA_L1200.gif, 01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/ray-optics-spherical-refracting-surface-paraxial-gauss-conditions-approximation-serieD_L1200.gif, 01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/ray-optics-spherical-refracting-surface-paraxial-gauss-conditions-approximation-serieF_L1200.gif, 01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/ray-optics-spherical-refracting-surface-snell-law.jpg, 01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/ray-optics-spherical-refracting-surface-stigmatism-paraxial-gauss-approximation_serieB_L1200_v2.gif, 01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/ray-optics-spherical-refracting-surface-stigmatism-paraxial-gauss-approximation_serieC_L1200.gif files --- .../02.new-course-overview/cheatsheet.fr.md | 198 ------------------ ...axial-gauss-approximation_serieA_L1200.gif | Bin 482081 -> 0 bytes ...-conditions-approximation-serieD_L1200.gif | Bin 474648 -> 0 bytes ...-conditions-approximation-serieF_L1200.gif | Bin 1334816 -> 0 bytes ...spherical-refracting-surface-snell-law.jpg | Bin 44304 -> 0 bytes ...al-gauss-approximation_serieB_L1200_v2.gif | Bin 1109526 -> 0 bytes ...axial-gauss-approximation_serieC_L1200.gif | Bin 912065 -> 0 bytes 7 files changed, 198 deletions(-) delete mode 100644 01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/cheatsheet.fr.md delete mode 100644 01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/ray-optics-spherical-refracting-surface-non-stigmatism-paraxial-gauss-approximation_serieA_L1200.gif delete mode 100644 01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/ray-optics-spherical-refracting-surface-paraxial-gauss-conditions-approximation-serieD_L1200.gif delete mode 100644 01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/ray-optics-spherical-refracting-surface-paraxial-gauss-conditions-approximation-serieF_L1200.gif delete mode 100644 01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/ray-optics-spherical-refracting-surface-snell-law.jpg delete mode 100644 01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/ray-optics-spherical-refracting-surface-stigmatism-paraxial-gauss-approximation_serieB_L1200_v2.gif delete mode 100644 01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/ray-optics-spherical-refracting-surface-stigmatism-paraxial-gauss-approximation_serieC_L1200.gif diff --git a/01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/cheatsheet.fr.md b/01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/cheatsheet.fr.md deleted file mode 100644 index 9efaa6b9b..000000000 --- a/01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/cheatsheet.fr.md +++ /dev/null @@ -1,198 +0,0 @@ ---- -title: Formation d'image et stigmatisme -published : true -visible : false ---- - - -:kefzekfjgzelg - -#### Quelle propriété doit satisfaire un système optique imageur "idéal" ? - -Il faut concevoir une image là. Si possible photo-gif. - -* Système optique **imageur** : *système macroscopique*.
-(de taille caractéristique grande devant la longueur d'onde de la lumière incidente). - -* *Tous rayons issus d'un même point object A* incidents en tout point d'un système -imageur, après interaction avec le système, *doivent converger en un même point image B*:
-Cette propriété s'appelle le **stigmatisme**. -$`\Longrightarrow`$ le stigmatisme est une **propriété macroscopique**. - -* *En tout point* d'un système optique, la **déviation d'un rayon incident** *dépend du plan et de l'angle d'incidence* -en ce point et suit la *loi de la réflexion ou le loi de la réfraction* :
-$`\Longrightarrow`$ la déviation d'un rayon incident est une **phénomène local (microscopique)**. - -* $`\Longrightarrow`$ le *stigmatisme*, propriété macroscopique, -**émerge de la forme macroscopique** du système optique imageur.
-(*courbure de la surface* d'un dioptre ou d'un miroir) - -#### Quelles courbures considérer pour étudier le stigmatisme ? - -* Pour que localement les lois de la réflexion et de la réfraction s'appliquent, -localement la surface doit être assimilable à un plan.
-$`\Longrightarrow`$ en chaque point, le rayon de courbure $`R_c`$ de la surface doit être -grand devant la longueur d'onde de la lumière incidente : $`R_c \gg \lambda`$ -$`\Longrightarrow`$ la taille caractéristique $`d`$ des défauts de surface doit -être petite devant la longueur d'onde : i$`d \ll \lambda /10`$ - - - -* Pour des raisons de *facilité de réalisation* technique et donc de *côut* de fabrication, -les éléments optiques simples ont des **surfaces planes ou sphériques** :
-$`\Longrightarrow`$ les *éléments optiques simples* seront :
-   \- le **miroir plan**.
-   \- les **miroirs sphériques**.
-   \- les **dioptres plans**.
-   \- le **dioptres sphériques**.
- -* Bien que un peu plus difficile à réaliser techniquement et à étudier analytiquement, -le **miroir parabolique** est étudié, car il est "plus stigmatique" que les miroirs -sphériques, et donc est *largement utilisé en optique*. - - - - - - - -#### Une surface séparant deux milieux d'indices de réfraction différents est-elle stigmatique ? - -* *surface séparant deux milieux d'indices de réfraction différents* : **dioptre**. - -* Chaque rayon issu d'un même point objet, est dévié en chaque point du dioptre selon des -conditions purement locales (plan d'incidence et loi de Snell-Descartes) :
-$`\Longrightarrow`$ aucune raison que les rayons émergeants convergent en un point image. - - -![](ray-optics-spherical-refracting-surface-snell-law.jpg)
-_Figure 2 : en chaque point d'un dioptre, la déviation du rayon lumnieux incident obéit -à la loi de Snell-Descartes._ - -* Rappel loi de Snell-Descartes :
-$`n_1 \cdot sin(i_1)=n_2 \cdot sin(i_2)`$
-$`i_1`$ est l'angle d'incidence et $`i_2`$ l'angle de réfraction, , notés -par rapport à la normale à la surface au point d'impact. - - -#### Un dioptre sphérique est-il un système stigmatique ? - -* En chaque point d'un **dioptre sphérique**, la *réfraction d'un rayon lumineux* suit -la *loi de Snell-Descartes* qui s'applique *selon des conditions locales* propres -à chaque point :
-$`\Longrightarrow`$ *aucune raison à l'émergence d'un comportement d'ensemble* qui serait -"tous les rayons réfractés ou les droites qui les prolongent convergent en un même point".
-$`\Longrightarrow`$ un dioptre sphérique est un élément optique **non stigmatique**. - -![](ray-optics-spherical-refracting-surface-non-stigmatism-paraxial-gauss-approximation_serieA_L1200.gif)
-_Figure 3 : Les rayons lumineux (ou les droites qui les prolongent) issus d'un point objet et réfractés -à la traversée d'un dioptre sphérique ne convergent en général pas en un point unique : -Un dioptre sphérique est non stigmatique._ - - -#### Dans quelles conditions un dioptre sphérique peut-il être "presque" stigmatique ? - -* *"presque" stigmatique* = **quasi-stigmatique**.
-On parle de **stigmatisme approché**. - -Le **stigmatisme** d'un dioptre sphérique **s'améliore** *en limitant le faisceau* aux rayons -présentant des *angles d'incidence $`i_1`$ faibles*. Pour réaliser cette conditions il faut : - -* **limiter l'angle d'ouverture** du dioptre sphérique (l'angle $`\alpha`$ sur la figure 4).
-Ceci peut être réalisé en mettant un diaphragme centré sur l'axe optique. - -![](ray-optics-spherical-refracting-surface-stigmatism-paraxial-gauss-approximation_serieB_L1200_v2.gif)
-_Figure 4 : Réduire l'angle d'ouverture $`\alpha`$ du dioptre sphérique améliore le stigmatisme._ - - -* **limiter l'observation** à travers le dioptre **aux points objets proches de l'axe optique**. - -![](ray-optics-spherical-refracting-surface-stigmatism-paraxial-gauss-approximation_serieC_L1200.gif) -_Figure 5 : Limiter l'exposition du dioptre sphérique aux rayons incidents issus de points objets proches de l'axe optique améliore le stigmatisme._ - - - - -#### Que sont les conditions de Gauss ? - -* **conditions de Gauss** = **conditions de l'optique paraxiale** -* -blablablz - -#### Comment savoir si les conditions de Gauss sont réalisées ? - - - -#### Qu'impliquent les conditions de Gauss ? - -* balbalbla. - -* Tous les points objets situés dans un même plan perpendiculaire à l'axe optique - appelé plan objet, et qui traversent le système optique en respectant les conditions de Gauss, -donnent des points images situées eux-aussi dans un même plan perpendiculaire à l'axe optique - appelé plan image. - -* point objet B et son point image B' sont appelés points conjugués par le sysytème optique. - -* point objet du oint objet B et pla image du point image conjugué de B sont appelés -plans conjugués par le sysytème optique. - -* blablabla, gros paragraphe là (dans partie "principale"), on va pouvoir utiliser traingles -rectangles, Thalès, faire de la géométrie, d'où le nom :
-**optique paraxiale** = **optique gaussienne** = **optique géométrique?** (revoir dans bouquin anglosaxon). - - -![](ray-optics-spherical-refracting-surface-paraxial-gauss-conditions-approximation-serieD_L1200.gif) - - -#### Qu'est-ce que l'optique gaussienne aussi appelée optique paraxiale ? - - -C'est un modèle qui ... - - -![](ray-optics-spherical-refracting-surface-paraxial-gauss-conditions-approximation-serieF_L1200.gif) - - -#### Qu'est-ce que "les aberrations optiques" ? - -Elles décrivent, par catégorie, les écarts entre le comportement réel de la lumière -décrit dans le cadre de l'optique des rayons, et prévisions données par l'optique -paraxiale. - -blablabla, à refaire. diff --git a/01.curriculum/01.physics-chemistry-biology/03.niv3/02.geometrical-optics/04.stigmatism-and-conjugate-points/02.new-course-overview/ray-optics-spherical-refracting-surface-non-stigmatism-paraxial-gauss-approximation_serieA_L1200.gif 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