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-rw-r--r--Master/texmf-dist/tex/generic/pst-optic/pst-optic.tex590
1 files changed, 447 insertions, 143 deletions
diff --git a/Master/texmf-dist/tex/generic/pst-optic/pst-optic.tex b/Master/texmf-dist/tex/generic/pst-optic/pst-optic.tex
index 90920f2e1be..8ca214b87a7 100644
--- a/Master/texmf-dist/tex/generic/pst-optic/pst-optic.tex
+++ b/Master/texmf-dist/tex/generic/pst-optic/pst-optic.tex
@@ -19,20 +19,21 @@
%%
\csname PSTopticLoaded\endcsname
\let\PSTopticLoaded\endinput
-% Requires PSTricks, pst-node, pstcol, pst-plot, pst-3d, multido packages
+% Requires PSTricks, pst-node, pst-plot, pst-grad, pst-3d,
+% pst-math, pst-xkey, multido packages
\ifx\PSTricksLoaded\endinput\else\input pstricks.tex\fi
\ifx\PSTnodesLoaded\endinput\else\input pst-node.tex\fi
\ifx\PSTplotLoaded\endinput\else\input pst-plot.tex\fi % parametric-plot
\ifx\PSTthreeDLoaded\endinput\else\input pst-3d.tex\fi % symplan
+\ifx\PSTGradLoaded\endinput\else\input pst-grad.tex\fi
+\ifx\PSTmathLoaded\endinput\else\input pst-math.tex\fi
\ifx\PSTMultidoLoaded\endinput\else\input multido.tex\fi
\ifx\PSTXKeyLoaded\endinput\else\input pst-xkey \fi
%
-\def\fileversion{0.95}
-\def\filedate{2006/07/20}
+\def\fileversion{0.96}
+\def\filedate{2006/08/02}
\message{`PST-Optic' v\fileversion, \filedate\space (Manuel Luque and Herbert Voss)}
%
-% DPC interface to the `keyval' package (until keyval based version of PSTricks)
-%
\edef\PstAtCode{\the\catcode`\@} \catcode`\@=11\relax
\pst@addfams{pst-optic}
\SpecialCoor
@@ -78,20 +79,12 @@
%
% ---------------- the if's -----------------
%
-\newif\ifPst@lensTwo% is a second lens present?
-\define@key[psset]{pst-optic}{lensTwo}[false]{\@nameuse{Pst@lensTwo#1}%
-}
-\newif\ifPst@lensGlass% draw a _real_ lens?
-\define@key[psset]{pst-optic}{lensGlass}[true]{\@nameuse{Pst@lensGlass#1}%
-}
-\newif\ifPst@drawing% draw the nodes and rays?
-\define@key[psset]{pst-optic}{drawing}[true]{\@nameuse{Pst@drawing#1}%
-}
-\newif\ifPst@rightRay% a ray on the right side?
-\define@key[psset]{pst-optic}{rightRay}[false]{\@nameuse{Pst@rightRay#1}%
-}
+\define@boolkey[psset]{pst-optic}[Pst@]{lensTwo}[false]{} % is a second lens present?
+\define@boolkey[psset]{pst-optic}[Pst@]{lensGlass}[true]{}% draw a _real_ lens?
+\define@boolkey[psset]{pst-optic}[Pst@]{drawing}[true]{} % draw the nodes and rays?
+\define@boolkey[psset]{pst-optic}[Pst@]{rightRay}[false]{}% a ray on the right side?
%
-\psset[pst-optic]{lensGlass=false,drawing=true}
+\psset[pst-optic]{lensGlass,drawing,lensTwo,rightRay}
%
% ------- the global definitions for the pspicture frame ------
%
@@ -103,12 +96,8 @@
%
% ---------------- the lenses -----------------
%
-\define@key[psset]{pst-optic}{lensType}{% CVG|DVG
- \def\psk@optic@lensType{#1}%
-}
-\define@key[psset]{pst-optic}{lensColor}{%
- \def\psk@optic@lensColor{#1}%
-}
+\define@key[psset]{pst-optic}{lensType}{\def\psk@optic@lensType{#1}}% CVG|DVG|PCVG|PDVG
+\define@key[psset]{pst-optic}{lensColor}{\def\psk@optic@lensColor{#1}}
\define@key[psset]{pst-optic}{lensWidth}{% the thichness of the lens
\def\psk@optic@lensWidth{#1}%
}
@@ -127,7 +116,10 @@
\define@key[psset]{pst-optic}{lensArrowInset}{%
\def\psk@optic@lensArrowInset{#1}%
}
-\def\lensType{CVG}
+\def\lensTypeCVG{CVG}
+\def\lensTypeDVG{DVG}
+\def\lensTypePCVG{PCVG}
+\def\lensTypePDVG{PDVG}
\psset[pst-optic]{lensType=CVG,lensColor=lightgray,lensWidth=0.5,lensDepth=1,
lensHeight=5,lensScale=1,lensArrowSize=0.2,lensArrowInset=0.5}
%
@@ -136,21 +128,13 @@
\define@key[psset]{pst-optic}{mirrorType}{% PLAN|PARAbolic|SPHerical
\def\psk@optic@mirrorType{#1}%
}
-\define@key[psset]{pst-optic}{mirrorDepth}{%
- \def\psk@optic@mirrorDepth{#1}%
-}
+\define@key[psset]{pst-optic}{mirrorDepth}{\def\psk@optic@mirrorDepth{#1}}
\define@key[psset]{pst-optic}{mirrorHeight}{% it's the TOTAL height
\def\psk@optic@mirrorHeight{#1}%
}
-\define@key[psset]{pst-optic}{mirrorWidth}{%
- \def\psk@optic@mirrorWidth{#1}%
-}
-\define@key[psset]{pst-optic}{mirrorColor}{%
- \def\psk@optic@mirrorColor{#1}%
-}
-\define@key[psset]{pst-optic}{mirrorFocus}{%
- \def\psk@optic@mirrorFocus{#1}%
-}
+\define@key[psset]{pst-optic}{mirrorWidth}{\def\psk@optic@mirrorWidth{#1}}
+\define@key[psset]{pst-optic}{mirrorColor}{\def\psk@optic@mirrorColor{#1}}
+\define@key[psset]{pst-optic}{mirrorFocus}{\def\psk@optic@mirrorFocus{#1}}
\define@key[psset]{pst-optic}{posMirrorTwo}{% a sencond mirror? (telescope)
\def\psk@optic@posMirrorTwo{#1}%
}
@@ -467,7 +451,7 @@
/Width \psk@optic@lensWidth\space def
/Width2 Width 2.0 div def
}
- \ifx\psk@optic@lensType\lensType% CVG ?
+ \ifx\psk@optic@lensType\lensTypeCVG% CVG ?
\pnode(!%
/radius Width2 dup mul Height dup mul add Width2 div 2 div def
/XM Width2 radius sub def
@@ -497,7 +481,7 @@
linecolor=\psk@optic@lensColor%
}
\rput(! XO YO){%
- \ifx\psk@optic@lensType\lensType% CVG
+ \ifx\psk@optic@lensType\lensTypeCVG% CVG
\pscustom{%
\parametricplot{\psk@optic@lensHeight}{-\psk@optic@lensHeight}{%
/arg t radius 2.0 mul div def
@@ -546,7 +530,7 @@
\uput[-90](Center){Center}
\psset{linecolor=\psk@optic@rayColor}
\psline[linewidth=1.5\pslinewidth,arrowinset=0]{->}(A)(B)
- \ifx\psk@optic@lensType\lensType
+ \ifx\psk@optic@lensType\lensTypeCVG
% the parallel ray
\lensSPHRay[lensType=CVG]%
(B)(I){\psk@optic@refractA}{\psk@optic@refractB}{PSPH}
@@ -621,7 +605,7 @@
\def\lensSPHRay{\@ifnextchar[{\pst@lensSPHRay}{\pst@lensSPHRay[]}}
\def\pst@lensSPHRay[#1](#2)(#3)#4#5#6{{%
\psset{#1}
- \ifx\psk@optic@lensType\lensType% CVG
+ \ifx\psk@optic@lensType\lensTypeCVG% CVG
\ifPst@rightRay
\ABinterSPHLens(#2)(#3)(Center){#6}
\else
@@ -632,7 +616,7 @@
\fi
% \psline(! Y mT sub X 1 sub neg)(! Y mT add X 1 add neg)
\refractionRay(#2)(#6)(! Y mT sub X 1 sub neg)(! Y mT add X 1 add neg){#4}{#5}{tempSPHRay}
- \ifx\psk@optic@lensType\lensType% CVG
+ \ifx\psk@optic@lensType\lensTypeCVG% CVG
\ifPst@rightRay
\ABinterSPHLens(#6)(tempSPHRay')(Center'){#6'}
\else
@@ -658,7 +642,7 @@
\pst@getcoor{#2}\pst@tempB
\pst@getcoor{#3}\pst@tempm
% calculate the intersection point. we change the coordinates
- \ifx\psk@optic@lensType\lensType% CVG
+ \ifx\psk@optic@lensType\lensTypeCVG% CVG
\pnode(!%
/YA \pst@tempA pop \pst@number\psxunit div def
/XA \pst@tempA exch pop \pst@number\psyunit div neg def
@@ -729,6 +713,62 @@
%\arrowLine[linecolor=blue,arrows=->](#4)(#4'){2}
}
%
+\def\pst@drawDVGRays{%
+ %dessin de l'objet
+ \psline[linewidth=1.5\pslinewidth,arrowinset=0]{->}(A)(B)
+% dessin de l'image
+ \psline[linewidth=1.5\pslinewidth,arrowinset=0,linestyle=dashed]{->}(A')(B')
+%dessin des rayons
+ \psset{linecolor=\psk@optic@rayColor}
+ \Arrows[length=16,arrows=-](B)(O)
+ \Arrows(B)(I)
+ \psline(B)(I)
+ \psOutLine[arrows=->,length=1](B')(I){END1}
+ \psOutLine[length=5](B')(I){END2}
+ \psline[linestyle=dashed](F')(I)
+ \Arrows[arrows=->>](B)(I')
+ \psline(B)(I')
+ \psOutLine[arrows=->>,length=2](B')(I'){END3}
+ \psOutLine[length=10](B')(I'){END4}
+ \psline[linestyle=dashed](B')(I')
+ %\uput[45](I'){I'}
+ %\uput[45](I){I}
+ \uput[\psk@optic@spotA](A){$\mathrm{\psk@optic@nameA}$}%
+ \uput[\psk@optic@spotB](B){$\mathrm{\psk@optic@nameB}$}%
+ \uput[\psk@optic@spotAi](A'){$\mathrm{\psk@optic@nameAi}$}%
+ \uput[\psk@optic@spotBi](B'){$\mathrm{\psk@optic@nameBi}$}%
+ \uput[\psk@optic@spotO](O){$\mathrm{\psk@optic@nameO}$}%
+}
+\def\pst@drawCVGRays{%
+% Position des foyers
+ \psdots[dotstyle=|](F')
+ \uput[\psk@optic@spotFi](F'){$\mathrm{\psk@optic@nameFi}$}
+ \psdots[dotstyle=|](F)
+ \uput[\psk@optic@spotF](F){$\mathrm{\psk@optic@nameF}$}
+%dessin de l'objet
+ \psline[linewidth=1.5\pslinewidth,arrowinset=0]{->}(A)(B)
+% dessin de l'image
+ \psline[linewidth=1.5\pslinewidth,arrowinset=0]{->}(A')(B')
+%dessin des rayons
+ \psset{linecolor=\psk@optic@rayColor}
+ \pcline(B)(B')
+ \Arrows[length=16,arrows=-](B)(O)
+ \Arrows(B)(I)
+ \psline(B)(I)
+ \Arrows[length=10,posStart=0,arrows=-](I)(F')
+ \Arrows[posStart=1,arrows=->](I)(F')
+ \Arrows[arrows=->>](B)(I')
+ \psline(B)(I')(B')
+ \Arrows[length=10,arrows=-](I')(B')
+ \Arrows[length=2,posStart=0.5,arrows=->>](I')(B')
+ %\uput[-45](I'){I'}
+ %\uput[45](I){I}
+ \uput[\psk@optic@spotA](A){$\mathrm{\psk@optic@nameA}$}
+ \uput[\psk@optic@spotB](B){$\mathrm{\psk@optic@nameB}$}
+ \uput[\psk@optic@spotAi](A'){$\mathrm{\psk@optic@nameAi}$}
+ \uput[\psk@optic@spotBi](B'){$\mathrm{\psk@optic@nameBi}$}
+ \uput[\psk@optic@spotO](O){$\mathrm{\psk@optic@nameO}$}
+}
%fin 26 juin 2001
%Lentille convergente : CVG
%(#2) est l'abscisse du centre optique
@@ -793,9 +833,14 @@
\fi%
\begingroup%
\ifPst@lensGlass%
- \rput(! XO YO){\ifx\psk@optic@lensType\lensType\lensCVG\else\lensDVG\fi}%
+ \rput(! XO YO){%
+ \ifx\psk@optic@lensType\lensTypeCVG\lensCVG%
+ \else\ifx\psk@optic@lensType\lensTypePCVG\lensCVG
+ \else\lensDVG\fi\fi}%
\else%
- \ifx\psk@optic@lensType\lensType\psset{arrows=<->}\else\psset{arrows=>-<}\fi%
+ \ifx\psk@optic@lensType\lensTypeDVG\psset{arrows=>-<}\else
+ \ifx\psk@optic@lensType\lensTypePDVG\psset{arrows=>-<}\else\psset{arrows=<->}
+ \fi\fi
\psline[linecolor=\psk@optic@lensColor,
linewidth=\psk@optic@lensWidth,arrowsize=\psk@optic@lensArrowSize,
arrowinset=\psk@optic@lensArrowInset]%
@@ -805,66 +850,14 @@
\psk@optic@lensScale\space mul YO add)%
\fi%
\endgroup%
-\ifPst@drawing
+ \ifPst@drawing
% axe optique
\psline(! \psk@optic@xLeft\space YO)(! \psk@optic@xRight\space YO)
- \ifx\psk@optic@lensType\lensType%
-% Position des foyers
- \psdots[dotstyle=|](F')
- \uput[\psk@optic@spotFi](F'){$\mathrm{\psk@optic@nameFi}$}
- \psdots[dotstyle=|](F)
- \uput[\psk@optic@spotF](F){$\mathrm{\psk@optic@nameF}$}
-%dessin de l'objet
- \psline[linewidth=1.5\pslinewidth,arrowinset=0]{->}(A)(B)
-% dessin de l'image
- \psline[linewidth=1.5\pslinewidth,arrowinset=0]{->}(A')(B')
-%dessin des rayons
- \psset{linecolor=\psk@optic@rayColor}
- \pcline(B)(B')
- \Arrows[length=16,arrows=-](B)(O)
- \Arrows(B)(I)
- \psline(B)(I)
- \Arrows[length=10,posStart=0,arrows=-](I)(F')
- \Arrows[posStart=1,arrows=->](I)(F')
- \Arrows[arrows=->>](B)(I')
- \psline(B)(I')(B')
- \Arrows[length=10,arrows=-](I')(B')
- \Arrows[length=2,posStart=0.5,arrows=->>](I')(B')
- %\uput[-45](I'){I'}
- %\uput[45](I){I}
- \uput[\psk@optic@spotA](A){$\mathrm{\psk@optic@nameA}$}
- \uput[\psk@optic@spotB](B){$\mathrm{\psk@optic@nameB}$}
- \uput[\psk@optic@spotAi](A'){$\mathrm{\psk@optic@nameAi}$}
- \uput[\psk@optic@spotBi](B'){$\mathrm{\psk@optic@nameBi}$}
- \uput[\psk@optic@spotO](O){$\mathrm{\psk@optic@nameO}$}
- \else
- %dessin de l'objet
- \psline[linewidth=1.5\pslinewidth,arrowinset=0]{->}(A)(B)
-% dessin de l'image
- \psline[linewidth=1.5\pslinewidth,arrowinset=0,linestyle=dashed]{->}(A')(B')
-%dessin des rayons
- \psset{linecolor=\psk@optic@rayColor}
- \Arrows[length=16,arrows=-](B)(O)
- \Arrows(B)(I)
- \psline(B)(I)
- \psOutLine[arrows=->,length=1](B')(I){END1}
- \psOutLine[length=5](B')(I){END2}
- \psline[linestyle=dashed](F')(I)
- \Arrows[arrows=->>](B)(I')
- \psline(B)(I')
- \psOutLine[arrows=->>,length=2](B')(I'){END3}
- \psOutLine[length=10](B')(I'){END4}
- \psline[linestyle=dashed](B')(I')
- %\uput[45](I'){I'}
- %\uput[45](I){I}
- \uput[\psk@optic@spotA](A){$\mathrm{\psk@optic@nameA}$}%
- \uput[\psk@optic@spotB](B){$\mathrm{\psk@optic@nameB}$}%
- \uput[\psk@optic@spotAi](A'){$\mathrm{\psk@optic@nameAi}$}%
- \uput[\psk@optic@spotBi](B'){$\mathrm{\psk@optic@nameBi}$}%
- \uput[\psk@optic@spotO](O){$\mathrm{\psk@optic@nameO}$}%
- \fi%
-\fi%
-\end{pspicture*}%
+ \ifx\psk@optic@lensType\lensTypeDVG\pst@drawDVGRays\else
+ \ifx\psk@optic@lensType\lensTypePDVG\pst@drawDVGRays\else
+ \pst@drawCVGRays\fi\fi
+ \fi%
+ \end{pspicture*}%
}\ignorespaces}
%
% 25 december 2002 Herbert <voss@perce.de>
@@ -874,11 +867,12 @@
%
\def\pslensDVG{\pst@object{pslensDVG}}
\def\pslensDVG@i#1#2{%
- \begin@OpenObj
- \pssetlength\pst@dima{#1}%
- \pssetlength\pst@dimb{#2}%
- \addto@pscode{\pslensDVG@ii}%
- \end@OpenObj%
+ \begin@OpenObj
+ \pssetlength\pst@dima{#1}%
+ \pssetlength\pst@dimb{#2}%
+ \ifx\psk@optic@lensType\lensTypeDVG\addto@pscode{\pslensDVG@ii}%
+ \else\addto@pscode{\pslensPDVG@ii}\fi%
+ \end@OpenObj%
}
\def\pslensDVG@ii{%
/w \pst@number\pst@dima def% lensWidth
@@ -894,28 +888,58 @@
x neg y Radius angleA angleB arc
wHalbe h lineto
}
-%
-\def\pslensCVG{\pst@object{pslensCVG}}
-\def\pslensCVG@i#1#2{%
- \begin@OpenObj
- \pssetlength\pst@dima{#1}%
- \pssetlength\pst@dimb{#2}%
- \addto@pscode{\pslensCVG@ii}%
- \end@OpenObj%
-}
-%
-\def\pslensCVG@ii{%
+\def\pslensPDVG@ii{%
/w \pst@number\pst@dima def% lensWidth
/wHalbe w 2 div def% half of the width
/h \pst@number\pst@dimb 2 div def% the half of the height
- /Radius wHalbe dup mul h dup mul add w div def
- /x Radius wHalbe sub def
+ /Radius wHalbe 2 div dup mul h dup mul add wHalbe div def
+ /x Radius wHalbe 2 div add def
/y 0 def
- /angleA h x atan neg def
+ /angleA h x wHalbe sub atan neg def
/angleB angleA neg def
0 h moveto
- x y Radius 180 angleA add 180 angleB add arc
- x neg y Radius angleA angleB arc
+ wHalbe 0 rlineto
+ x y Radius 180 angleA add 180 angleB add arc
+% x neg y Radius angleA angleB arc
+ wHalbe neg 0 rlineto
+ 0 h dup add rlineto
+}
+%
+\def\pslensCVG{\pst@object{pslensCVG}}
+\def\pslensCVG@i#1#2{%
+ \begin@OpenObj
+ \pssetlength\pst@dima{#1}%
+ \pssetlength\pst@dimb{#2}%
+ \ifx\psk@optic@lensType\lensTypeCVG\addto@pscode{\pslensCVG@ii}%
+ \else\addto@pscode{\pslensPCVG@ii}\fi%
+ \end@OpenObj%
+}
+%
+\def\pslensCVG@ii{%
+ /w \pst@number\pst@dima def% lensWidth
+ /wHalbe w 2 div def% half of the width
+ /h \pst@number\pst@dimb 2 div def% the half of the height
+ /Radius wHalbe dup mul h dup mul add w div def
+ /x Radius wHalbe sub def
+ /y 0 def
+ /angleA h x atan neg def
+ /angleB angleA neg def
+ 0 h moveto
+ x y Radius 180 angleA add 180 angleB add arc
+ x neg y Radius angleA angleB arc
+}
+\def\pslensPCVG@ii{%
+ /w \pst@number\pst@dima def% lensWidth
+ /wHalbe w 2 div def% half of the width
+ /h \pst@number\pst@dimb 2 div def% the half of the height
+ /Radius wHalbe dup mul h dup mul add w div def
+ /x Radius wHalbe sub def
+ /y 0 def
+ /angleA h x atan neg def
+ /angleB angleA neg def
+ 0 h neg moveto
+ 0 h dup add rlineto
+ x neg y Radius angleA angleB arc
}
%
%22 juin 2001 / 25 december 2002
@@ -923,21 +947,21 @@
%Le dessin de la lentille
%
\def\lensCVG{%
- \psscalebox{\psk@optic@lensScale}{%
- \pscustom[linewidth=0.75\pslinewidth]{%
- \pslensCVG{\psk@optic@lensWidth}{\psk@optic@lensHeight}
- \fill[fillstyle=solid,fillcolor=BleuVerre]
- }%
+ \psscalebox{\psk@optic@lensScale}{%
+ \pscustom[linewidth=0.75\pslinewidth]{%
+ \pslensCVG{\psk@optic@lensWidth}{\psk@optic@lensHeight}
+ \fill[fillstyle=solid,fillcolor=BleuVerre]
}%
+ }%
}
%
\def\lensDVG{%
- \psscalebox{\psk@optic@lensScale}{%
- \pscustom[linewidth=0.75\pslinewidth]{%
- \pslensDVG{\psk@optic@lensWidth}{\psk@optic@lensHeight}
- \fill[fillstyle=solid,fillcolor=BleuVerre]%
- }%
- }%
+ \psscalebox{\psk@optic@lensScale}{%
+ \pscustom[linewidth=0.75\pslinewidth]{%
+ \pslensDVG{\psk@optic@lensWidth}{\psk@optic@lensHeight}
+ \fill[fillstyle=solid,fillcolor=BleuVerre]%
+ }%
+ }%
}
%Sauvegarde des points pour le cas d'un
%système à deux lentilles (26 juin 2001)
@@ -1001,8 +1025,8 @@
\def\pst@mirrorCVGRay[#1](#2)(#3)#4{{%
\psset{#1}%
\ifx\psk@optic@mirrorType\mirrorType % CVG
-\typeout{====>\mirrorType}
-\typeout{====>\psk@optic@mirrorType}
+%\typeout{====>\mirrorType}
+%\typeout{====>\psk@optic@mirrorType}
\pst@getcoor{#2}\pst@tempA
\pst@getcoor{#3}\pst@tempB
\pnode(!%
@@ -1106,8 +1130,8 @@
} ifelse ){#4''}
\else
%--------------- A Spherical Mirror -----------------
-\typeout{====>\mirrorType}
-\typeout{====>\psk@optic@mirrorType}
+%\typeout{====>\mirrorType}
+%\typeout{====>\psk@optic@mirrorType}
\ABinterSPHLens(#2)(#3)(Center){tempRef0}
\pst@getcoor{tempRef0}\pst@tempA
\pst@getcoor{tempRef0'}\pst@tempB
@@ -1728,9 +1752,289 @@
\fi
}\ignorespaces}
%
+% Prism stuff initiated by Manuel 2006-07-26
+%
+\define@key[psset]{pst-optic}{AnglePrism}{\edef\psk@Prism@AnglePrism{#1}}
+\define@key[psset]{pst-optic}{AnglePlan1}{\edef\psk@Prism@AnglePlanOne{#1}}
+\define@key[psset]{pst-optic}{AnglePlan2}{\edef\psk@Prism@AnglePlanTwo{#1}}
+\define@key[psset]{pst-optic}{lambda}{\edef\psk@Prism@Lambda{#1}}
+\define@key[psset]{pst-optic}{k}{\edef\psk@Prism@k{#1}}
+\define@boolkey[psset]{pst-optic}[Pst@Prism@]{notations}[true]{}
+%
+\psset{AnglePrism=60,AnglePlan1=25,AnglePlan2=55,k=1,lambda=632.8,notations=true}
+%
+\def\psprism{\pst@object{psprism}}
+\def\psprism@i{%
+ \begin@SpecialObj
+ \ifPst@Prism@notations
+ \psline{->}(0,8)
+ \uput[90](0,8){$y$}
+ \psline{->}(-6,0)(6,0)
+ \uput[0](6,0){$x$}
+ \fi
+ \pnode(0,0){O}
+ \pnode(!
+ /AnglePrism \psk@Prism@AnglePrism\space 2 div def
+ /AnglePlan1 \psk@Prism@AnglePlanOne\space def
+ /AnglePlan2 \psk@Prism@AnglePlanTwo\space def
+ /lambda \psk@Prism@Lambda\space def
+ % le point C1 sur la droite 1
+ /C1x -6 def
+ /C1y 6 def
+ % le point C2 sur la droite 2
+ /C2x 7 def
+ /C2y 5 def
+ % donne la distance C1E
+ /k \psk@Prism@k\space def
+ %
+ /g1x AnglePrism sin neg def % -sin(A/2)
+ /g1y AnglePrism cos def % cos(A/2)
+ /u1x AnglePlan1 sin neg def
+ /u1y AnglePlan1 cos neg def
+ % le point E émetteur
+ /E1x C1x k u1x mul add def
+ /E1y C1y k u1y mul add def
+ %
+ /n1x AnglePlan1 cos def
+ /n1y AnglePlan1 sin neg def
+ /Lambda {E1x g1y mul E1y g1x mul neg add
+ n1y g1x mul neg n1x g1y mul add
+ div neg} bind def
+ % point I1
+ /i1x {E1x Lambda n1x mul add} bind def
+ /i1y {E1y Lambda n1y mul add} bind def
+ 0 0){Stockage_parametres_prism}
+ \pspolygon[fillstyle=gradient,gradbegin=cyan,gradend=white,gradangle=60,gradmidpoint=0.5](O)%
+ (! 7 90 AnglePrism add cos mul 7 90 AnglePrism add sin mul)
+ (! 7 90 AnglePrism sub cos mul 7 90 AnglePrism sub sin mul)
+ \pnode(!
+ % Les datas
+ % Sellmeier's
+ % glass sf15 : verre flint
+ % n=sqrt(1+B1*L^2/(l^2-C1)+B2*L^2/(l^2-C2)+B3*L^2/(l^2-C3))
+ % Cauchy : /N {1.606 6545 1 mul lambda dup mul div add} bind def
+ /L2 {lambda 1e-3 mul dup mul} bind def % en micromètres
+ /N {1
+ 1.539259 L2 mul L2 0.011931 sub div
+ add
+ 0.247621 L2 mul L2 0.055608 sub div
+ add
+ 1.038164 L2 mul L2 116.416755 sub div
+ add
+ sqrt} bind def
+ /alpha1 AnglePlan1 AnglePrism add def
+ /sinB1 alpha1 sin N div def
+ /B1 sinB1 arcsin def
+ /Delta1 AnglePrism B1 sub def
+ %%%
+ /g2x AnglePrism sin def
+ /g2y AnglePrism cos def
+ /d12x Delta1 cos def % d12x
+ /d12y Delta1 sin def % d12y
+ /Lambda2 {i1x g2y mul i1y g2x mul sub
+ d12y g2x mul d12x g2y mul sub
+ div} bind def
+ % point I2
+ /i2x {i1x Lambda2 d12x mul add} bind def
+ /i2y {i1y Lambda2 d12y mul add} bind def
+ %
+ /B2 AnglePrism 2 mul B1 sub def
+ /sinA2 N B2 sin mul def
+ /alpha2 sinA2 asin def
+ /u2x AnglePlan2 sin def
+ /u2y AnglePlan2 cos neg def
+ /Delta2 alpha2 AnglePrism sub def
+ /d2x Delta2 cos def
+ /d2y Delta2 sin def
+ /DELTA u2x d2y mul neg u2y d2x mul add def
+ /DELTA_X i2x C2x sub d2y mul neg
+ i2y C2y sub d2x mul add def
+ /DELTA_Y u2x i2y C2y sub mul neg
+ u2y i2x C2x sub mul add def
+ /MU DELTA_X DELTA div def
+ /LAMBDA3 DELTA_Y DELTA div def
+ % le point R2
+ /r2x C2x MU u2x mul add def
+ /r2y C2y MU u2y mul add def
+ /a_i {AnglePlan1 neg} bind def
+ /a_r {alpha2 AnglePrism sub} bind def
+ /tan_i {a_i tan} bind def
+ /tan_r {a_r tan} bind def
+ 0 0){factice}
+ \pnode(! C1x C1y){C1}
+ \pnode(! C2x C2y){C2}
+ \pnode(! E1x E1y){E1}
+ \pnode(! i1x i1y){P1}
+ \pnode(! i2x i2y){I2}
+ \pnode(! r2x r2y){R2}
+ \pnode(! /bQ {i1y i1x AnglePrism tan mul sub} bind def
+ /bQ' {i2y i2x AnglePrism tan mul add} bind def
+ /xQ {bQ' bQ sub 2 div AnglePrism tan div} bind def
+ /yQ {bQ bQ' add 2 div} bind def
+ xQ yQ){Q}
+ \pnode(! /bI {i1y i1x tan_i mul sub} bind def
+ /bI'{i2y i2x tan_r mul sub} bind def
+ /xI {bI bI' sub tan_r tan_i sub div} bind def
+ /yI {xI tan_i mul bI add} bind def
+ xI yI){I}
+ \pcline[linestyle=dashed,nodesepB=-2](P1)(I)
+ \pcline[linestyle=dashed,nodesepB=-2](I2)(I)
+ \pcline[linestyle=dashed,nodesepB=-1,nodesepA=-2](P1)(Q)
+ \pcline[linestyle=dashed,nodesepB=-1,nodesepA=-2](I2)(Q)
+ \rput(P1){%
+ \rput{30}(0,0){\psframe*(0,0)(0.2,0.2)}
+ \psarc{<-}(0,0){0.8}{!180 AnglePrism add alpha1 sub}{!180 AnglePrism add}
+ \uput{1}[! 180 AnglePrism add alpha1 2 div sub](0,0){$i_1$}
+ \psarc[linecolor=blue]{<-}(0,0){1}{!AnglePrism B1 sub}{!AnglePrism}
+ \uput{1.2}[! AnglePrism B1 2 div sub](0,0){$r_1$}
+ \uput{0.4}[90](0,0){$I_1$}}
+ \rput(I2){%
+ \rput{60}(0,0){\psframe*(0,0)(0.2,0.2)}
+ \psarc[linecolor=blue]{->}(0,0){0.8}{! AnglePrism neg 180 add}{!AnglePrism neg 180 add B2 add}
+ \uput{1}[!AnglePrism neg 180 add B2 2 div add](0,0){$r_2$}
+ \psarc{->}(0,0){1}{! AnglePrism neg}{!alpha2 AnglePrism sub}
+ \uput{1.2}[!alpha2 2 div AnglePrism sub](0,0){$i_2$}
+ \uput{0.4}[90](0,0){$I_2$}}
+ \psline[linecolor={[wave]{\psk@Prism@Lambda}},arrowscale=2]{->}(P1)(I2)(R2)
+ \psline[linecolor={[wave]{\psk@Prism@Lambda}}](E1)(P1)
+ \psline[linecolor={[wave]{\psk@Prism@Lambda}},arrowscale=2]{->}(E1)(!i1x E1x add 2 div i1y E1y add 2 div)
+ \psarc(0,0){0.8}{!90 AnglePrism sub}{!90 AnglePrism add}
+ \uput[90](0,0.8){$\widehat{A}$}
+ \psdot[dotstyle=o](O)
+ \psdot[dotstyle=o](I)
+ \psdot[dotstyle=o](Q)
+ \rput(I){\psarc{->}(0,0){1}{!a_i}{!a_r}
+ \uput{1.1}[!a_i a_r add 2 div](0,0){$\widehat{D}$}}
+ \ifPst@Prism@notations
+ \pcline[nodesepB=-2,nodesepA=-2](C1)(E1)
+ \uput[180](C1){$C_1$}
+ \uput[180](E1){$E_1$}
+ %
+ \pcline[nodesepB=-2,nodesepA=-2](C2)(R2)
+ \uput[-90](C2){$C_2$}
+ \uput[180](R2){$R_2$}
+ \rput(C1){\psline(0,2)
+ \psarc(0,0){1}{! 90 AnglePlan1 sub}{90}
+ \uput{1.1}[!90 AnglePlan1 2 div sub](0,0){$\rho_1$}
+ \psline[arrowinset=0,linewidth=2\pslinewidth]{->}(!
+ 90 AnglePlan1 sub cos neg 90 AnglePlan1 sub sin neg)
+ \uput[0](! 90 AnglePlan1 sub cos neg 90 AnglePlan1 sub sin neg){$\overrightarrow{u}_1$}
+ \psline[arrowinset=0,linewidth=2\pslinewidth]{->}(! AnglePlan1 neg cos AnglePlan1 neg sin)
+ \uput[90](! AnglePlan1 neg cos AnglePlan1 neg sin){$\overrightarrow{n}_1$}}
+ \rput(C2){\psline(0,2)
+ \psarc(0,0){1}{90}{! 90 AnglePlan2 add}
+ \uput{1.1}[!90 AnglePlan2 2 div add](0,0){$\rho_2$}
+ \psline[arrowinset=0,linewidth=2\pslinewidth]{->}(! AnglePlan2 cos AnglePlan2 sin)
+ \uput[! AnglePlan2](! AnglePlan2 cos AnglePlan2 sin){$\overrightarrow{n}_2$}
+ \psline[arrowinset=0,linewidth=2\pslinewidth]{->}(! 90 AnglePlan2 add cos 90 AnglePlan2 add sin)
+ \uput[-90](! 90 AnglePlan2 add cos 90 AnglePlan2 add sin){$\overrightarrow{u}_2$}}
+ \psdot[dotstyle=o](C1)
+ \psdot[dotstyle=o,linecolor={[wave]{\psk@Prism@Lambda}}](E1)
+ \psdot[dotstyle=o](C2)
+ \psdot[dotstyle=o](R2)
+ \fi%
+ \end@SpecialObj%
+}
+%
+%% Commande \psprismColor
+\def\psprismColor{\pst@object{psprismColor}}
+\def\psprismColor@i{%
+ \begin@SpecialObj
+ \pnode(0,0){O}
+ \pnode(!
+ /AnglePrism \psk@Prism@AnglePrism\space 2 div def
+ /AnglePlan1 \psk@Prism@AnglePlanOne\space def
+ /AnglePlan2 \psk@Prism@AnglePlanTwo\space def
+ % le point C1 sur la droite 1
+ /C1x -8 def
+ /C1y 7 def
+ % le point C2 sur la droite 2
+ /C2x 11 def
+ /C2y 5 def
+ % donne la distance C1E1
+ /k \psk@Prism@k\space def
+ %
+ /g1x AnglePrism sin neg def % -sin(A/2)
+ /g1y AnglePrism cos def % cos(A/2)
+ /u1x AnglePlan1 sin neg def
+ /u1y AnglePlan1 cos neg def
+ % le point E émetteur
+ /E1x C1x k u1x mul add def
+ /E1y C1y k u1y mul add def
+ %
+ /n1x AnglePlan1 cos def
+ /n1y AnglePlan1 sin neg def
+ /Lambda {E1x g1y mul E1y g1x mul neg add
+ n1y g1x mul neg n1x g1y mul add
+ div neg} bind def
+ % point I1
+ /i1x {E1x Lambda n1x mul add} bind def
+ /i1y {E1y Lambda n1y mul add} bind def
+ 0 0){Stockage_parametres_prism}
+ \pspolygon[fillstyle=gradient,gradbegin=cyan,gradend=white,gradangle=60,gradmidpoint=0.5](O)%
+ (! 7 90 AnglePrism add cos mul 7 90 AnglePrism add sin mul)
+ (! 7 90 AnglePrism sub cos mul 7 90 AnglePrism sub sin mul)
+ \multido{\iLAMBDA=400+5}{80}{%
+ \pstVerb{/lambda \iLAMBDA\space def}%
+ \definecolor{prism}{wave}{\iLAMBDA}%
+ \pnode(!
+ % Les datas
+ % Sellmeier's
+ % glass sf15 : verre flint lourd
+ % n=sqrt(1+B1*L^2/(l^2-C1)+B2*L^2/(l^2-C2)+B3*L^2/(l^2-C3))
+ % Cauchy : /N {1.606 6545 1 mul lambda dup mul div add} bind def
+ /L2 {lambda 1e-3 mul dup mul} bind def
+ /N {1
+ 1.539259 L2 mul L2 0.011931 sub div add
+ 0.247621 L2 mul L2 0.055608 sub div add
+ 1.038164 L2 mul L2 116.416755 sub div add
+ sqrt} bind def
+ /alpha1 AnglePlan1 AnglePrism add def
+ /sinB1 alpha1 sin N div def
+ /B1 sinB1 asin def
+ /Delta1 AnglePrism B1 sub def
+ %%%
+ /g2x AnglePrism sin def
+ /g2y AnglePrism cos def
+ /d12x Delta1 cos def % d12x
+ /d12y Delta1 sin def % d12y
+ /Lambda2 {i1x g2y mul i1y g2x mul sub d12y g2x mul d12x g2y mul sub div} bind def
+ % point I2
+ /i2x {i1x Lambda2 d12x mul add} bind def
+ /i2y {i1y Lambda2 d12y mul add} bind def
+ %
+ /B2 AnglePrism 2 mul B1 sub def
+ /sinA2 N B2 sin mul def
+ /alpha2 sinA2 asin def
+ /u2x AnglePlan2 sin def
+ /u2y AnglePlan2 cos neg def
+ /Delta2 alpha2 AnglePrism sub def
+ /d2x Delta2 cos def
+ /d2y Delta2 sin def
+ /s2x i2x C2x sub def
+ /s2y i2y C2y sub def
+ /dA d2x u2y mul d2y u2x mul sub def
+ /dM d2x s2y mul d2y s2x mul sub def
+% le point R2
+ /r2x C2x dM dA div u2x mul add def
+ /r2y C2y dM dA div u2y mul add def
+ 0 0){factice}
+ \pnode(! C1x C1y){C1}
+ \pnode(! C2x C2y){C2}
+ \pnode(! E1x E1y){E1}
+ \pnode(! i1x i1y){I1}
+ \pnode(! i2x i2y){I2}
+ \pnode(! r2x r2y){R2}
+ \psline[linecolor=prism](I1)(I2)(R2)}
+ \psline[linecolor=white,linewidth=0.5mm](E1)(I1)
+ \psline[linecolor=white,linewidth=0.5mm,arrowscale=2]{->}(E1)(!i1x E1x add 2 div i1y E1y add 2 div)
+ \end@SpecialObj%
+}
+%
+%
\def\resetOpticOptions{% hv 2006-07-20
\psset[pst-optic]{%
- lensGlass=false,drawing=true,
+ lensGlass=false,drawing=true,,lensTwo,rightRay,
xLeft=-7.5,xRight=7.5,yBottom=-3.0,yTop=3.0,
lensType=CVG,lensColor=lightgray,lensWidth=0.5,lensDepth=1,
lensHeight=5,lensScale=1,lensArrowSize=0.2,lensArrowInset=0.5,
@@ -1740,11 +2044,11 @@
XO=0,YO=0,OA=-3,posStart=0,length=2,focus=2,AB=1,arrowOffset=0,
nameO=O,spotO=225,nameAi=A',spotAi=90,nameBi=B',spotBi=270,
nameFi=F',spotFi=270,
- rayColor=red}%
+ rayColor=red,%
+ AnglePrism=60,AnglePlan1=25,AnglePlan2=55,k=1,lambda=632.8,notations=true}%
% \gdef\mirrorType{CVG}%
-% \gdef\lensType{CVG}%
+% \gdef\lensTypeCVG{CVG}%
}
-%
\catcode`\@=\PstAtCode\relax
%
%% END: pst-optic.tex
generated by cgit v1.2.3 (git 2.39.1) at 2024-12-23 15:19:03 +0000