File:RefractionConditionVisibilite.svg
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Size of this PNG preview of this SVG file: 639 × 501 pixels. Other resolutions: 306 × 240 pixels | 612 × 480 pixels | 980 × 768 pixels | 1,280 × 1,004 pixels | 2,560 × 2,007 pixels.
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Summary
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| Description |
Français : On place une pièce au fond d’un verre opaque. Même si la pièce est invisible pour l’oeil, elle devient visible lorsque l’on verse de l’eau.
L’oeil voit l’image de l’objet pièce par la surface plane air-eau. Tous les rayons lumineux issus de A semblent provenir de A’ après réfraction à travers la surface air-eau. A’ est l’image de A par la surface air-eau. A et A’ sont des points conjugués. |
| Date | |
| Source | Own work |
| Author | Hervé Darce |
% Copyright
% Auteur : Hervé Darce
% Ce fichier source et l'image associée sont sous licence Creative Commons Attribution - Partage dans les Mêmes Conditions 4.0 International (https://creativecommons.org/licenses/by-sa/4.0)
% Transformer un fichier tex en svg :
% latex ${file}.tex && dvips ${file}.dvi && ps2eps ${file}.ps && eps2svg ${file}.eps
\documentclass[a4paper]{slides}
\usepackage[french]{babel}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{pstricks}
\usepackage{pst-eucl}
\usepackage{amsmath}
\usepackage{ccicons}
\usepackage{pst-optic}
\definecolor{BleuVerre}{cmyk}{0.2,0,0,0}
\begin{document}
\setlength{\unitlength}{1cm}
\small
\psset{unit=1cm}
\begin{pspicture}(-9,-7)(11,5)
% initialisation
\psset{arrowscale=3}
% points
\pstGeonode[PointSymbol=none,PointName=none](9,0){M'_1}
\pstGeonode[PointSymbol=none,PointName=none](-0.3,0){M'_2}
\pstGeonode[PointSymbol=none,PointName=none](9,-7){M'_4}
\pstGeonode[PointSymbol=none,PointName=none](-0.3,-7){M'_3}
\pstGeonode[PointSymbol=none,PointName=none,PosAngle=180](0,0){I1}
\pstGeonode[PointSymbol=none,PointName=none,PosAngle=180](0.5,0){I2}
% Surface \pstRotation[PointSymbol=none,PointName=none,RotAngle=0]{I}{M'_1}[M_1] \pstRotation[PointSymbol=none,PointName=none,RotAngle=0]{I}{M'_2}[M_2] \pstRotation[PointSymbol=none,PointName=none,RotAngle=0]{I}{M'_3}[M_3] \pstRotation[PointSymbol=none,PointName=none,RotAngle=0]{I}{M'_4}[M_4]
\pspolygon[linestyle=none,fillstyle=solid,fillcolor=BleuVerre](M_1)(M_2)(M_3)(M_4)
\psline[linewidth=3\pslinewidth](M_2)(M_3)(M_4)(M_1) \psset{HomCoef=0.2}
\pstHomO[PointSymbol=none,PointName=none]{M_1}{M_2}[T] %texte milieu
%Objet
\pstGeonode[PosAngle=180](5,-6.7){A}
\pstGeonode[PointSymbol=none,PointName=none](5,-7){A2}
\pstGeonode[PointSymbol=none,PointName=none](7,-7){A3}
\pstGeonode[PointSymbol=none,PointName=none](7,-6.7){A4}
\pspolygon[](A)(A2)(A3)(A4)
% Rayon réfracté
\pstInterLC[PointSymbol=none,PointName=none]{A}{I1}{I1}{A}{RA11}{RA12}
\pstProjection[PointSymbol=none,PointName=none]{M_1}{M_2}{RA12}[M_A1]
\psset{HomCoef=1.4} % n1/n2=HomCoef
\pstHomO[PointSymbol=none,PointName=none,PosAngle=30]{I1}{M_A1}[M_A1']
\pstTranslation[PointSymbol=none,PointName=none,DistCoef=1]{M_A1}{RA12}{M_A1'}[RA13']
\pstInterLC[PointSymbol=none,PointName=none]{RA13'}{M_A1'}{I1}{A}{A1'}{RA11'}
\pstInterLC[PointSymbol=none,PointName=none]{A}{I2}{I2}{A}{RA21}{RA22}
\pstProjection[PointSymbol=none,PointName=none]{M_1}{M_2}{RA22}[M_A2]
\psset{HomCoef=1.4} % n1/n2=HomCoef
\pstHomO[PointSymbol=none,PointName=none,PosAngle=30]{I2}{M_A2}[M_A2']
\pstTranslation[PointSymbol=none,PointName=none,DistCoef=1]{M_A2}{RA22}{M_A2'}[RA23']
\pstInterLC[PointSymbol=none,PointName=none]{RA23'}{M_A2'}{I2}{A}{A2'}{RA21'}
\pstInterLL[,PosAngle=90]{I1}{A1'}{I2}{A2'}{A'}
\pstInterLC[PointSymbol=none,PointName=none]{I2}{A2'}{I2}{A}{A2a}{A2b}
\pstInterLC[PointSymbol=none,PointName=none]{I1}{A1'}{I1}{A}{A1a}{A1b}
% construction A
\pstLineAB[linecolor=red]{A}{I1}
\pstLineAB[linecolor=red,nodesep=3,]{->}{A}{I1}
\pstLineAB[linecolor=red]{A}{I2}
\pstLineAB[linecolor=red,nodesep=3,]{->}{A}{I2}
\pstLineAB[linecolor=red]{A1b}{I1}
\pstLineAB[linecolor=red,nodesep=3,]{-<}{A1b}{I1}
\pstLineAB[linecolor=red]{A2b}{I2}
\pstLineAB[linecolor=red,nodesep=3,]{-<}{A2b}{I2}
\pstLineAB[linestyle=dashed,linecolor=red]{A'}{I1}
\pstLineAB[linestyle=dashed,linecolor=red]{A'}{I2}
% Image
\pstTranslation[PointSymbol=none,PointName=none,DistCoef=1]{A}{A2}{A'}[L2']
\pstTranslation[PointSymbol=none,PointName=none,DistCoef=1]{A}{A3}{A'}[L3']
\pstTranslation[PointSymbol=none,PointName=none,DistCoef=1]{A}{A4}{A'}[L4']
\pspolygon[linestyle=dashed](A')(L2')(L3')(L4')
% Légende
\uput{0.5}[90](T){Milieu 1 ($n_1$)}
\uput{0.5}[-90](T){Milieu 2 ($n_2$)}
\uput{0.5}[30](A){pièce}
\uput{0.5}[-30](L2'){image de la pièce}
%\uput{1}[-90](A){Rayon incident} %\uput{0.4}[40](A){Rayon réfracté}
% oeil
\rput{135}(-7.4,5.8){\eye}
\end{pspicture}
\ccbysa {\tiny Hervé Darce (commons.wikimedia.org)}
\end{document}
Licensing
[edit]
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 11:38, 28 January 2021 | | 639 × 501 (65 KB) | Herve-Darce (talk | contribs) | Uploaded own work with UploadWizard |
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