/usr/share/texmf-texlive/tex/generic/pst-optic/pst-optic.tex is in texlive-pstricks 2009-10ubuntu1.
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%% This is file `pst-optic.tex',
%%
%% IMPORTANT NOTICE:
%%
%% Package `pst-optic.tex'
%%
%% Manuel Luque <Mluque5130@aol.com> (France)
%% Herbert Voss <voss@perce.de> (Germany)
%%
%% 2006-07-20
%%
%% This program can be redistributed and/or modified under the terms
%% of the LaTeX Project Public License Distributed from CTAN archives
%% in directory macros/latex/base/lppl.txt.
%%
%% DESCRIPTION:
%% `pst-optic' is a PSTricks package to define lenses and mirrors
%%
\csname PSTopticLoaded\endcsname
\let\PSTopticLoaded\endinput
% 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{0.97}
\def\filedate{2007/01/07}
\message{`PST-Optic' v\fileversion, \filedate\space (Manuel Luque and Herbert Voss)}
%
\edef\PstAtCode{\the\catcode`\@} \catcode`\@=11\relax
\pst@addfams{pst-optic}
\SpecialCoor
%
%%%%%%%%%%%%%%%%%% Macrolist %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%% \def\Arrows[#1](#2)(#3)
%% \def\psOutLine[#1](#2)(#3)#4
%% \def\psBeforeLine[#1](#2)(#3)#4
%% \def\ABinterCD(#1)(#2)(#3)(#4)#5
%% \def\Parallel[#1](#2)(#3)(#4)#5
%% \def\arrowLine[#1](#2)(#3)#4
%% \def\nodeBetween(#1)(#2)#3
%% \def\rotateNode(#1)#2
%% \def\rotateTriangle(#1)(#2)(#3)#4
%% \def\rotateFrame(#1)(#2)(#3)(#4)#5
%% \def\lensSPH[#1]
%% \def\lensSPHRay[#1](#2)(#3)#4#5#6
%% \def\ABinterSPHLens(#1)(#2)(#3)#4
%% \def\lens[#1]
%% \def\pslensDVG
%% \def\pslensDVG@i#1#2
%% \def\pslensDVG@ii
%% \def\pslensCVG
%% \def\pslensCVG@ii
%% \def\lensCVG
%% \def\lensDVG
%% \def\Transform
%% \def\rayInterLens(#1)(#2)#3#4
%% \def\mirrorCVGRay[#1](#2)(#3)#4
%% \def\mirrorCVG[#1]
%% \def\mirrorDVG[#1]
%% \def\mirrorDVGRay[#1](#2)(#3)#4
%% \def\beamLight[#1]
%% \def\mirrorTwo
%% \def\telescope[#1]
%% \def\planMirrorRay(#1)(#2)(#3)#4
%% \def\symPlan(#1)(#2)
%% \def\refractionRay[#1](#2)(#3)(#4)(#5)#6#7#8
%% \def\reflectionRay[#1](#2)(#3)#4
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% ---------------- the if's -----------------
%
\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,drawing,lensTwo,rightRay}
%
% ------- the global definitions for the pspicture frame ------
%
\define@key[psset]{pst-optic}{xLeft}[-7.5]{\def\psk@optic@xLeft{#1}}
\define@key[psset]{pst-optic}{xRight}[7.5]{\def\psk@optic@xRight{#1}}
\define@key[psset]{pst-optic}{yBottom}[-3.0]{\def\psk@optic@yBottom{#1}}
\define@key[psset]{pst-optic}{yTop}[3.0]{\def\psk@optic@yTop{#1}}
\psset[pst-optic]{xLeft=-7.5,xRight=7.5,yBottom=-3.0,yTop=3.0}
%
% ---------------- the lenses -----------------
%
\define@key[psset]{pst-optic}{lensType}[CVG]{\def\psk@optic@lensType{#1}}% CVG|DVG|PCVG|PDVG
\define@key[psset]{pst-optic}{lensColor}[lightgray]{\def\psk@optic@lensColor{#1}}
\define@key[psset]{pst-optic}{lensWidth}[0.5]{\def\psk@optic@lensWidth{#1}}% the thichness of the lens
\define@key[psset]{pst-optic}{lensDepth}[1]{\def\psk@optic@lensDepth{#1}}
\define@key[psset]{pst-optic}{lensHeight}[5]{\def\psk@optic@lensHeight{#1}}% the TOTAL height of the lens
\define@key[psset]{pst-optic}{lensScale}[1]{\def\psk@optic@lensScale{#1}}% more or less obsolete
\define@key[psset]{pst-optic}{lensArrowSize}[0.2]{\def\psk@optic@lensArrowSize{#1}}% for the AB,... Arrows
\define@key[psset]{pst-optic}{lensArrowInset}[0.5]{\def\psk@optic@lensArrowInset{#1}}
\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}
%
% ---------------- the mirrors -----------------
%
\define@key[psset]{pst-optic}{mirrorType}[CVG]{\def\psk@optic@mirrorType{#1}}% PLAN|PARAbolic|SPHerical
\define@key[psset]{pst-optic}{mirrorDepth}[1]{\def\psk@optic@mirrorDepth{#1}}
\define@key[psset]{pst-optic}{mirrorHeight}[5]{\def\psk@optic@mirrorHeight{#1}}% it's the TOTAL height
\define@key[psset]{pst-optic}{mirrorWidth}[0.25]{\def\psk@optic@mirrorWidth{#1}}
\define@key[psset]{pst-optic}{mirrorColor}[lightgray]{\def\psk@optic@mirrorColor{#1}}
\define@key[psset]{pst-optic}{mirrorFocus}[8]{\def\psk@optic@mirrorFocus{#1}}
\define@key[psset]{pst-optic}{posMirrorTwo}[6]{\def\psk@optic@posMirrorTwo{#1}}% a sencond mirror? (telescope)
\define@key[psset]{pst-optic}{mirrorTwoAngle}[45]{\def\psk@optic@mirrorTwoAngle{#1}}% the angle for the 2. plan mirror (telescope)
\def\mirrorType{CVG}
\psset[pst-optic]{mirrorType=CVG,mirrorDepth=1,mirrorHeight=5,mirrorWidth=0.25,
mirrorFocus=8,mirrorTwoAngle=45,posMirrorTwo=6,mirrorColor=lightgray}
%
% -------------- the refrectionnumbers -------------
%
\define@key[psset]{pst-optic}{refractA}[1]{\def\psk@optic@refractA{#1}}
\define@key[psset]{pst-optic}{refractB}[1.41]{\def\psk@optic@refractB{#1}}
\psset[pst-optic]{refractA=1,refractB=1.41}
%
% -------------- the length and node definitions -------------
%
\define@key[psset]{pst-optic}{XO}[0]{\def\psk@optic@XO{#1}}% the X-offset
\define@key[psset]{pst-optic}{YO}[0]{\def\psk@optic@YO{#1}}% the y-offset
\define@key[psset]{pst-optic}{posStart}[0]{\def\psk@optic@posStart{#1}}% where the arrows start
\define@key[psset]{pst-optic}{length}[2]{\def\psk@optic@length{#1}}% the length of the before|outlines
\define@key[psset]{pst-optic}{focus}[2]{\def\psk@optic@focus{#1}}% for lenses/mirrors with a fixed focus
\define@key[psset]{pst-optic}{AB}[1]{\def\psk@optic@AB{#1}}% the length of the object arrow
\define@key[psset]{pst-optic}{OA}[-3]{\def\psk@optic@OA{#1}}% the xcoordinate of the object arrow
\define@key[psset]{pst-optic}{arrowOffset}[0]{\def\psk@optic@arrowOffset{#1}}%offset for \arrowLine
%
\psset[pst-optic]{XO=0,YO=0,OA=-3,posStart=0,length=2,focus=2,AB=1,arrowOffset=0}
%
\define@key[psset]{pst-optic}{nameA}[A]{\def\psk@optic@nameA{#1}}% start of the object arrow
\define@key[psset]{pst-optic}{spotA}[270]{\def\psk@optic@spotA{#1}}% where to draw the label
\define@key[psset]{pst-optic}{nameB}[B]{\def\psk@optic@nameB{#1}}
\define@key[psset]{pst-optic}{spotB}[90]{\def\psk@optic@spotB{#1}}
\define@key[psset]{pst-optic}{nameF}[F]{\def\psk@optic@nameF{#1}}
\define@key[psset]{pst-optic}{spotF}[270]{\def\psk@optic@spotF{#1}}
\define@key[psset]{pst-optic}{nameO}[O]{\def\psk@optic@nameO{#1}}
\define@key[psset]{pst-optic}{spotO}[225]{\def\psk@optic@spotO{#1}}
\define@key[psset]{pst-optic}{nameAi}[A']{\def\psk@optic@nameAi{#1}}
\define@key[psset]{pst-optic}{spotAi}[90]{\def\psk@optic@spotAi{#1}}
\define@key[psset]{pst-optic}{nameBi}[B']{\def\psk@optic@nameBi{#1}}
\define@key[psset]{pst-optic}{spotBi}[270]{\def\psk@optic@spotBi{#1}}
\define@key[psset]{pst-optic}{nameFi}[F']{\def\psk@optic@nameFi{#1}}
\define@key[psset]{pst-optic}{spotFi}[270]{\def\psk@optic@spotFi{#1}}
%
\psset[pst-optic]{nameA=A,spotA=270,nameB=B,spotB=90,nameF=F,spotF=270,
nameO=O,spotO=225,nameAi=A',spotAi=90,nameBi=B',spotBi=270,
nameFi=F',spotFi=270}
%
% -------------------- colors/fillstyles -------------------
%
\definecolor{BleuVerre}{cmyk}{0.2,0,0,0}
\definecolor{JauneVert}{cmyk}{0.3,0,1,0}
\newpsstyle{rayuresJaunes}{fillstyle=hlines,hatchsep=2\pslinewidth,hatchcolor=JauneVert}
\define@key[psset]{pst-optic}{rayColor}[red]{\pst@getcolor{#1}\psk@optic@rayColor}
\psset[pst-optic]{rayColor=red}
\define@key[psset]{pst-optic}{rayWidth}[1.5\pslinewidth]{\def\psk@optic@rayWidth{#1}}
\psset[pst-optic]{rayWidth=1.5\pslinewidth}
%
\newpsstyle{opticalAxis}{linewidth=0.5pt,linecolor=black,linestyle=solid}
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Utility stuff
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% posStart=Starting point
% length= Arrow length.
\def\Arrows{\@ifnextchar[{\pst@Arrows}{\pst@Arrows[]}}
\def\pst@Arrows[#1](#2)(#3){{%
\psset{#1}%
\pst@getcoor{#2}\pst@tempA
\pst@getcoor{#3}\pst@tempB
\pnode(!%
/StartArrow \psk@optic@posStart\space def
/LengthArrow \psk@optic@length\space def
\pst@tempA /YA exch \pst@number\psyunit div def
/XA exch \pst@number\psxunit div def
\pst@tempB /YB exch \pst@number\psyunit div def
/XB exch \pst@number\psxunit div def
/denominateur XB XA sub def
/numerateur YB YA sub def
/angleDirectionAB numerateur denominateur Atan def
/XD StartArrow angleDirectionAB cos mul XA add def
/YD StartArrow angleDirectionAB sin mul YA add def
/XF XD LengthArrow angleDirectionAB cos mul add def
/YF YD LengthArrow angleDirectionAB sin mul add def
XD YD ){ArrowStart}%
\pnode(! XF YF){ArrowEnd}%
\psset{arrows=->}%
\psline[#1](ArrowStart)(ArrowEnd)%
}\ignorespaces}
%
% draw a line (===) outside: #2-----#3=======#4
%
\def\psOutLine{\@ifnextchar[{\pst@ToDrawOut}{\pst@ToDrawOut[]}}
\def\pst@ToDrawOut[#1](#2)(#3)#4{{%
\psset{#1}%
\pst@getcoor{#2}\pst@tempA
\pst@getcoor{#3}\pst@tempB
\pnode(!%
/LengthArrow \psk@optic@length\space def
\pst@tempA /YA exch \pst@number\psyunit div def
/XA exch \pst@number\psxunit div def
\pst@tempB /YB exch \pst@number\psyunit div def
/XB exch \pst@number\psxunit div def
/denominateur XB XA sub def
/numerateur YB YA sub def
/angleDirectionAB numerateur denominateur Atan def
/Xend XB LengthArrow angleDirectionAB cos mul add def
/Yend YB LengthArrow angleDirectionAB sin mul add def
Xend Yend){#4}
\psline[#1](#3)(#4)
}}
%
% draw a line (===) before: #4========#2-----#3
%
\def\psBeforeLine{\@ifnextchar[{\pst@BeforeLine}{\pst@BeforeLine[]}}
\def\pst@BeforeLine[#1](#2)(#3)#4{{%
\psset{#1}%
\pst@getcoor{#2}\pst@tempA
\pst@getcoor{#3}\pst@tempB
\pnode(!%
/LengthArrow \psk@optic@length\space def
\pst@tempA /YA exch \pst@number\psyunit div def
/XA exch \pst@number\psxunit div def
\pst@tempB /YB exch \pst@number\psyunit div def
/XB exch \pst@number\psxunit div def
/denominateur XB XA sub def
/numerateur YB YA sub def
/angleDirectionAB numerateur denominateur Atan def
/Xstart XA LengthArrow angleDirectionAB cos mul sub def
/Ystart YA LengthArrow angleDirectionAB sin mul sub def
Xstart Ystart){#4}
\psline[#1](#4)(#2)%
}\ignorespaces}
%
% intersection de deux droites
% 2 juillet 2001/ rewritten 2003-01-27 Herbert
%
\def\ABinterCD(#1)(#2)(#3)(#4)#5{%
\pst@getcoor{#1}\pst@tempA
\pst@getcoor{#2}\pst@tempB
\pst@getcoor{#3}\pst@tempc
\pst@getcoor{#4}\pst@tempd
\pnode(!%
/YA \pst@tempA exch pop \pst@number\psyunit div def
/XA \pst@tempA pop \pst@number\psxunit div def
/YB \pst@tempB exch pop \pst@number\psyunit div def
/XB \pst@tempB pop \pst@number\psxunit div def
/YC \pst@tempc exch pop \pst@number\psyunit div def
/XC \pst@tempc pop \pst@number\psxunit div def
/YD \pst@tempd exch pop \pst@number\psyunit div def
/XD \pst@tempd pop \pst@number\psxunit div def
/dY1 YB YA sub def
/dX1 XB XA sub def
/dY2 YD YC sub def
/dX2 XD XC sub def
dX1 abs 0.01 lt {
/m2 dY2 dX2 div def
XA dup XC sub m2 mul YC add
}{
dX2 abs 0.01 lt {
/m1 dY1 dX1 div def
XC dup XA sub m1 mul YA add
}{%
/m1 dY1 dX1 div def
/m2 dY2 dX2 div def
m1 XA mul m2 XC mul sub YA sub YC add m1 m2 sub div dup
XA sub m1 mul YA add
} ifelse
} ifelse ){#5}
}
%
% draw a parallel line
% #2---------#3
% #4----------#5(new)
\def\Parallel{\@ifnextchar[{\pst@Parallel}{\pst@Parallel[]}}
\def\pst@Parallel[#1](#2)(#3)(#4)#5{{%
\psset{#1}%
\pst@getcoor{#2}\pst@tempA
\pst@getcoor{#3}\pst@tempB
\pst@getcoor{#4}\pst@tempc
\pnode(!%
/LengthArrow \psk@optic@length\space def
\pst@tempA /YA exch \pst@number\psyunit div def
/XA exch \pst@number\psxunit div def
\pst@tempB /YB exch \pst@number\psyunit div def
/XB exch \pst@number\psxunit div def
\pst@tempc /YC exch \pst@number\psyunit div def
/XC exch \pst@number\psxunit div def
/denominateur XB XA sub def
/numerateur YB YA sub def
/angleDirectionAB numerateur denominateur Atan def
/XstartParallel XC LengthArrow angleDirectionAB cos mul add def
/YstartParallel YC LengthArrow angleDirectionAB sin mul add def
XstartParallel YstartParallel){#5}
\psline[#1](#4)(#5)
}}
%
% arrowLine[options](A)(B){n}
% #2---->---->---->---->----#3 #4-arrows inside
\def\arrowLine{\@ifnextchar[{\pst@arrowLine}{\pst@arrowLine[]}}
\def\pst@arrowLine[#1](#2)(#3)#4{{%
\psset{arrowsize=4pt,arrows=->}% the defaults
\psset{#1}%
\def\pst@optic@n{#4}
\pst@getcoor{#2}\pst@tempA
\pst@getcoor{#3}\pst@tempB
\pnode(!%
/YA \pst@tempA exch pop \pst@number\psyunit div def
/XA \pst@tempA pop \pst@number\psxunit div def
/YB \pst@tempB exch pop \pst@number\psyunit div def
/XB \pst@tempB pop \pst@number\psxunit div def
/dY YB YA sub \pst@optic@n\space 1 add div def
/dX XB XA sub \pst@optic@n\space 1 add div def
/Alpha dY dX atan def
/dYOffset \psk@optic@arrowOffset\space Alpha sin mul def
/dXOffset \psk@optic@arrowOffset\space Alpha cos mul def
XA YA ){tempArrowC}
\multido{\i=1+1}{#4}{%
\pnode(!%
XA dX \i\space mul add dXOffset add
YA dY \i\space mul add dYOffset add){tempArrowB}
\psline(tempArrowC)(tempArrowB)
\pnode(tempArrowB){tempArrowC}
}
\psline[arrows=-](tempArrowB)(#3)
}\ignorespaces}
%
% #1------#3------#2
\def\nodeBetween(#1)(#2)#3{% Herbert 2003/01/05
\pst@getcoor{#1}\pst@tempA
\pst@getcoor{#2}\pst@tempB
\pnode(!%
/XA \pst@tempA pop \pst@number\psxunit div def
/YA \pst@tempA exch pop \pst@number\psyunit div def
/XB \pst@tempB pop \pst@number\psxunit div def
/YB \pst@tempB exch pop \pst@number\psyunit div def
XB XA add 2 div YB YA add 2 div){#3}
}
%
% rotateNode(A)
% (A) the node
% #2 the angle
% Herbert Voss <voss@perce.de> 2003-01-26
\def\rotateNode{\pst@rotateNode}
\def\pst@rotateNode(#1)#2{{%
\pst@getcoor{#1}\pst@tempA
\def\pst@optic@angle{#2} % the rotating angle
\pnode(!%
/YA \pst@tempA exch pop \pst@number\psyunit div def
/XA \pst@tempA pop \pst@number\psxunit div def
YA 0 eq XA 0 eq and {0 0}{
/r XA dup mul YA dup mul add sqrt def
/AlphaOld YA XA atan def
/AlphaNew AlphaOld \pst@optic@angle\space add def
r AlphaNew cos mul r AlphaNew sin mul
} ifelse ){temp}
\pnode(temp){#1}
}\ignorespaces}
%
\def\rotateTriangle{\pst@rotateTriangle}
\def\pst@rotateTriangle(#1)(#2)(#3)#4{{%
\rotateNode(#1){#4}
\rotateNode(#2){#4}
\rotateNode(#3){#4}
}\ignorespaces}
%
\def\rotateFrame{\pst@rotateFrame}
\def\pst@rotateFrame(#1)(#2)(#3)(#4)#5{{%
\rotateNode(#1){#5}
\rotateNode(#2){#5}
\rotateNode(#3){#5}
\rotateNode(#4){#5}
}\ignorespaces}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% L E N S E S %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% A spherical lens is drawn only with a spherical bow
%
\def\lensSPH{\@ifnextchar[{\pst@lensSPH}{\pst@lensSPH[]}}
\def\pst@lensSPH[#1]{{%
\psset{lensType=CVG,OA=-7,%
lensHeight=6,%
lensWidth=1.5,%
refractB=2}
\psset{#1}
\begin{pspicture*}(\psk@optic@xLeft ,\psk@optic@yBottom )
(\psk@optic@xRight ,\psk@optic@yTop)
\pnode(! \psk@optic@xLeft\space 0){xLeft}
\pnode(! \psk@optic@xRight\space 0){xRight}
\pstVerb{%
/Height \psk@optic@lensHeight\space 2.0 div def
/Depth \psk@optic@lensDepth\space def
/Width \psk@optic@lensWidth\space def
/Width2 Width 2.0 div def
}
\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
/YM 0 def
XM YM){Center}
\else% DVG ?
\pnode(!%
/radius Depth dup mul Height dup mul add Depth div 2.0 div def
/XM Width2 radius add neg def
/YM 0 def
XM YM){Center}
\fi
% and vice versa
\pnode(! XM neg 0){Center'}
\pnode(!%
/AB \psk@optic@AB\space def
/OA \psk@optic@OA\space def
/XO \psk@optic@XO\space def
/YO \psk@optic@YO\space def
OA XO add YO){A}
\pnode(! OA XO add AB YO add){B}
\pnode(! XO YO){O}
\pnode(! XO AB YO add){I}
\begingroup% for the fill option
\psset{fillstyle=solid,%
fillcolor=\psk@optic@lensColor,%
linecolor=\psk@optic@lensColor%
}
\rput(! XO YO){%
\ifx\psk@optic@lensType\lensTypeCVG% CVG
\pscustom{%
\parametricplot{\psk@optic@lensHeight}{-\psk@optic@lensHeight}{%
/arg t radius 2.0 mul div def
arg 1 arg dup mul sub sqrt atan
cos 1 sub radius mul neg Width2 sub
t 2.0 div
}
\parametricplot{-\psk@optic@lensHeight}{\psk@optic@lensHeight}{%
/arg t radius 2.0 mul div def
arg 1 arg dup mul sub sqrt atan
cos 1 sub radius mul neg Width2 sub neg
t 2.0 div
}
\fill
}%
\else
\pscustom{%
% (d+w/2,h/2)->(d-w,h/2)
\psline(! Depth Width2 add Height)(! Depth Width2 add neg Height)
% (-d-w/2,h/2)->(-d-w/2,-h/2)
\parametricplot{\psk@optic@lensHeight}{-\psk@optic@lensHeight}{%
/arg t 2.0 div radius div def
arg 1 arg dup mul sub sqrt atan cos 1 sub radius mul Width2 sub
t 2.0 div
}
% (-d-w/2,-h/2)(d+w/2,-h/2)
\psline(! Depth Width2 add neg Height neg)(! Depth Width2 add Height neg)
% (d+w/2,-h/2)->(d+w/2,h/2)
\parametricplot{-\psk@optic@lensHeight}{\psk@optic@lensHeight}{%
/arg t 2.0 div radius div def
1 arg 1 arg dup mul sub sqrt atan cos sub radius mul Width2 add
t 2.0 div
}
\fill
}
\fi%
}%
\endgroup
\ifPst@drawing
% optical axes
\psline[style=opticalAxis](xLeft)(xRight)
\psset{dotstyle=|}
\psdots(Center')
\uput[-90](Center'){Center'}
\psdots(Center)
\uput[-90](Center){Center}
\psset{linecolor=\psk@optic@rayColor}
\psline[linewidth=1.5\pslinewidth,arrowinset=0]{->}(A)(B)
\ifx\psk@optic@lensType\lensTypeCVG
% the parallel ray
\lensSPHRay[lensType=CVG]%
(B)(I){\psk@optic@refractA}{\psk@optic@refractB}{PSPH}
\ABinterCD(PSPH')(PSPH'')(O)(xRight){F'}
\pst@getcoor{F'}\pst@tempf
\pnode(!%
/XF \pst@tempf pop \pst@number\psxunit div neg def
/YF \pst@tempf exch pop \pst@number\psyunit div def
XF YF){F}
\psline(B)(PSPH)(PSPH')(F')
\psOutLine[length=5](PSPH')(F'){PEnd}
% the center ray
\lensSPHRay[lensType=CVG]%
(B)(O){\psk@optic@refractA}{\psk@optic@refractB}{OSPH}
\ABinterCD(PSPH')(PSPH'')(OSPH')(OSPH''){B'}
\pnode(B'|0,0){A'}
\psOutLine[length=5](OSPH')(OSPH''){OEnd}
\psline(B)(OSPH)(OSPH')(OEnd)
% the focus ray
\lensSPHRay[lensType=CVG]%
(B)(F){\psk@optic@refractA}{\psk@optic@refractB}{FSPH}
\psOutLine[length=10](FSPH')(FSPH''){FEnd}
\psline(B)(FSPH)(FSPH')(FEnd)
\else % the DVG part
% the parallel ray
\lensSPHRay[lensType=DVG]%
(B)(I){\psk@optic@refractA}{\psk@optic@refractB}{PSPH}
\ABinterCD(PSPH')(PSPH'')(O)(xRight){F}
\pst@getcoor{F}\pst@tempf
\pnode(!%
/XF \pst@tempf pop \pst@number\psxunit div def
/YF \pst@tempf exch pop \pst@number\psyunit div def
XF neg YF){F'}
\psOutLine[linestyle=dashed,length=5](F)(PSPH'){PEnd'}
\psOutLine[linestyle=dashed,length=5](PEnd')(PSPH'){PEnd}
\psline(B)(PSPH)(PSPH')
% the center ray
\lensSPHRay[lensType=DVG]%
(B)(O){\psk@optic@refractA}{\psk@optic@refractB}{OSPH}
\ABinterCD(PSPH')(PSPH'')(OSPH')(OSPH''){B'}
\pnode(B'|0,0){A'}
\psOutLine(PSPH')(B'){PEnd}
\psline(B)(OSPH)(OSPH')
\psOutLine[linestyle=dashed,length=5](OSPH)(OSPH'){OEnd}
% the focus ray
\lensSPHRay[lensType=DVG]%
(B)(F'){\psk@optic@refractA}{\psk@optic@refractB}{FSPH}
\psline(B)(FSPH)(FSPH')(FSPH'')
\psOutLine[length=5](FSPH')(FSPH''){FEnd}
\psOutLine[linestyle=dashed,length=5](FSPH'')(FSPH'){FEnd'}
\psline[linestyle=dashed](FSPH')(F')
\fi
\psdots(F')
\uput[\psk@optic@spotFi](F'){$\mathrm{\psk@optic@nameFi}$}
\uput[\psk@optic@spotF](F){$\mathrm{\psk@optic@nameF}$}
\psline[linewidth=1.5\pslinewidth,arrowinset=0]{->}(A')(B')
\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% ifdrawing
\end{pspicture*}%
}\ignorespaces}
%
% Herbert Voss 2003/02/02
% [#1] : lensType=CVG/DVG
% (#2)(#3): the ray coordinates
% #4 #5: the refraction numbers IN and OUT
% #6: the intersection point
%
\def\lensSPHRay{\@ifnextchar[{\pst@lensSPHRay}{\pst@lensSPHRay[]}}
\def\pst@lensSPHRay[#1](#2)(#3)#4#5#6{{%
\psset{#1}
\ifx\psk@optic@lensType\lensTypeCVG% CVG
\ifPst@rightRay
\ABinterSPHLens(#2)(#3)(Center){#6}
\else
\ABinterSPHLens(#2)(#3)(Center'){#6}
\fi
\else
\ABinterSPHLens(#2)(#3)(Center){#6}
\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\lensTypeCVG% CVG
\ifPst@rightRay
\ABinterSPHLens(#6)(tempSPHRay')(Center'){#6'}
\else
\ABinterSPHLens(#6)(tempSPHRay')(Center){#6'}
\fi
\else
\ABinterSPHLens(#6)(tempSPHRay')(Center'){#6'}
\fi
% \psline(! Y mT sub X 1 sub neg)(! Y mT add X 1 add neg)
\refractionRay(#6)(#6')(! Y mT sub X 1 sub neg)%
(! Y mT add X 1 add neg){#5}{#4}{tempSPHRay}
\pnode(tempSPHRay'){#6''}
}\ignorespaces}
%
% Intersection Point of ray and sperical lense
% 2003-02-03 Herbert
% (#1)(#2): the ray coordinates
% (#3): The center of the sperical
% #4: the intersection point
%
\def\ABinterSPHLens(#1)(#2)(#3)#4{%
\pst@getcoor{#1}\pst@tempA
\pst@getcoor{#2}\pst@tempB
\pst@getcoor{#3}\pst@tempm
% calculate the intersection point. we change the coordinates
\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
/YB \pst@tempB pop \pst@number\psxunit div def
/XB \pst@tempB exch pop \pst@number\psyunit div neg def
/YM \pst@tempm pop \pst@number\psxunit div def
/XM \pst@tempm exch pop \pst@number\psyunit div neg def
% /radius YM abs Width2 add def
/dX XB XA sub def
dX abs 0.01 lt {
% a horizontal line
/Y YM radius dup mul XA dup mul sub sqrt YM 0 gt {sub}{add}ifelse def
/YSecond YM radius dup mul XA dup mul sub sqrt YM 0 gt {add}{sub}ifelse def
/X XA def
/XSecond XA def
/mT XA radius dup mul XA dup mul sub sqrt div YM 0 lt {neg}if def
Y X neg
}{
/dY YB YA sub def
/m dY dX div def
/m21 m dup mul 1 add def
/klammer YM m XA mul add YA sub def
/p2neg klammer m mul m21 div def
/q klammer dup mul radius dup mul sub m21 div def
/root p2neg dup mul q sub sqrt def
/X p2neg root YM m mul 0 gt {sub}{add}ifelse def
/XSecond p2neg root YM m mul 0 gt {add}{sub}ifelse def
/Y m X XA sub mul YA add def
/YSecond m XSecond XA sub mul YA add def
/mT X radius dup mul X dup mul sub sqrt div YM 0 lt {neg}if def
Y X neg
} ifelse){#4}
\else% DVG
\pnode(!%
/YA \pst@tempA pop \pst@number\psxunit div def
/XA \pst@tempA exch pop \pst@number\psyunit div neg def
/YB \pst@tempB pop \pst@number\psxunit div def
/XB \pst@tempB exch pop \pst@number\psyunit div neg def
/YM \pst@tempm pop \pst@number\psxunit div def
/XM \pst@tempm exch pop \pst@number\psyunit div neg def
% /radius YM abs Width2 add def
/dX XB XA sub def
dX abs 0.01 lt {
% a horizontal line
/Y YM radius dup mul XA dup mul sub sqrt YM 0 gt {sub}{add}ifelse def
/YSecond YM radius dup mul XA dup mul sub sqrt YM 0 gt {add}{sub}ifelse def
/X XA def
/mT XA radius dup mul XA dup mul sub sqrt div YM 0 lt {neg}if def
/XSecond XA def
Y X neg
}{
/dY YB YA sub def
/m dY dX div def
/m21 m dup mul 1 add def
/klammer YM m XA mul add YA sub def
/p2neg klammer m mul m21 div def
/q klammer dup mul radius dup mul sub m21 div def
/root p2neg dup mul q sub sqrt def
/X p2neg root YM m mul 0 gt {sub}{add}ifelse def
/XSecond p2neg root YM m mul 0 gt {add}{sub}ifelse def
/Y m X XA sub mul YA add def
/YSecond m XSecond XA sub mul YA add def
/mT X radius dup mul X dup mul sub sqrt div YM 0 lt {neg}if def
Y X neg
} ifelse){#4}
\fi
\pnode(! YSecond XSecond neg){#4'}
%\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
\def\lens{\@ifnextchar[{\pst@lens}{\pst@lens[]}}
\def\pst@lens[#1]{{%
\psset{xLeft=-7.5,xRight=7.5,yBottom=-3,yTop=3}%
\psset{#1}%
\pst@killglue%
% trace les rayons
% calcule la position de l'image
\begin{pspicture*}(\psk@optic@xLeft,\psk@optic@yBottom)(\psk@optic@xRight,\psk@optic@yTop)
\pnode(! \psk@optic@xLeft\space 0){xLeft}%
\pnode(! \psk@optic@xRight\space 0){xRight}%
\ifPst@lensTwo
\pnode(!%
/OF' \psk@optic@focus\space def
%/AB \psk@optic@AB\space def
/AB A'1B'1 def
%/OA \psk@optic@OA\space def
/XO \psk@optic@XO\space def
/YO \psk@optic@YO\space def
/OA XO neg XO1 add O1A1' add def
/TesT OA OF' add def
TesT 0 eq {/OA OF' neg 0.001 add def} if
/OA' OA OF' mul OA OF' add div def
/Gamma OA' OA div def
/A'B' Gamma AB mul def
OA' XO add YO){A'}%
\pnode(! OA XO add YO){A}%
\pnode(! OA XO add AB YO add){B}
\pnode(! OF' XO add YO){F'}
\pnode(! OF' neg XO add YO){F}
\pnode(! OA' XO add A'B' YO add){B'}
\pnode(! XO YO){O}
\pnode(! XO AB YO add){I}
\pnode(! XO A'B' YO add){I'}
\pnode(! \psk@optic@xRight\space A'B' YO add){I1}
\pnode(! \psk@optic@xRight\space neg A'B' YO add){I2}
\else%
\pnode(!%
/OF' \psk@optic@focus\space def
/AB \psk@optic@AB\space def
/OA \psk@optic@OA\space def
/XO \psk@optic@XO\space def
/YO \psk@optic@YO\space def
/TesT OA OF' add def
TesT 0 eq {/OA OF' neg 0.001 add def} if
/OA' OA OF' mul OA OF' add div def
/Gamma OA' OA div def
/A'B' Gamma AB mul def
OA' XO add YO){A'}
\pnode(! OA XO add YO){A}%
\pnode(! OA XO add AB YO add){B}%
\pnode(! OF' XO add YO){F'}%
\pnode(! OF' neg XO add YO){F}%
\pnode(! OA' XO add A'B' YO add){B'}%
\pnode(! XO YO){O}%
\pnode(! XO AB YO add){I}%
\pnode(! XO A'B' YO add){I'}%
\pnode(! \psk@optic@xRight\space A'B' YO add){I1}%
\pnode(! \psk@optic@xRight\space neg A'B' YO add){I2}%
\fi%
\begingroup%
\ifPst@lensGlass%
\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\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]%
(! XO -0.5 \psk@optic@lensHeight\space mul
\psk@optic@lensScale\space mul YO add)%
(! XO 0.5 \psk@optic@lensHeight\space mul
\psk@optic@lensScale\space mul YO add)%
\fi%
\endgroup%
\ifPst@drawing
% axe optique
\psline[style=opticalAxis](! \psk@optic@xLeft\space YO)(! \psk@optic@xRight\space YO)
\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>
% make the lenses dynamical to width _and_ height
% \pslens calculates the radius and the angles from the given values
% of lensWidth and lensHeight and draws the lens with it's origin (0,0)
%
\def\pslensDVG{\pst@object{pslensDVG}}
\def\pslensDVG@i#1#2{%
\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
/wHalbe w 2 div def% half of the width
/h \pst@number\pst@dimb 2 div def% the half of the height
/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 wHalbe sub atan neg def
/angleB angleA neg def
wHalbe h moveto
x y Radius 180 angleA add 180 angleB add arc
x neg y Radius angleA angleB arc
wHalbe h lineto
}
\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 2 div dup mul h dup mul add wHalbe div def
/x Radius wHalbe 2 div add def
/y 0 def
/angleA h x wHalbe sub atan neg def
/angleB angleA neg def
0 h moveto
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
%Choisir la forme et la taille de la lentille
%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]
}%
}%
}
%
\def\lensDVG{%
\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)
\def\Transform{%
\pnode(A){A1}
\pnode(B){B1}
\pnode(A'){A'1}
\pnode(B'){B'1}
\pnode(O){O1}
\pnode(F){F1}
\pnode(F'){F'1}
\pnode(I){I11}
\pnode(I'){I'1}
\pnode(!%
/XO1 XO def
/YO1 YO def
/O1A1' OA' def
/A'1B'1 A'B' def
XO1 YO1){factice}
}
%
%intersection d'un rayon avec une lentille
\def\rayInterLens(#1)(#2)#3#4{{%
\pst@getcoor{#1}\pst@tempA
\pst@getcoor{#2}\pst@tempB
\pnode(!%
/LengthArrow \psk@optic@length\space def
\pst@tempA /YE1 exch \pst@number\psyunit div def
/XE1 exch \pst@number\psxunit div def
\pst@tempB /YB1 exch \pst@number\psyunit div def
/XB1 exch \pst@number\psxunit div def
/XO2 #3 def
/YO2 YB1 YE1 sub
XB1 XE1 sub div
XO2 XE1 sub
mul
YE1 add
def
XO2 YO2){#4}
}}
%
%eye du philatéliste
\def\eye{%
\psarc[linewidth=2pt](0,2.5){2.5}{215}{270}%
\psarc[linewidth=2pt](0,-2.5){2.5}{90}{140}%
\psarc(-2.5,0){1}{-30}{30}%
\psarc(0,0){1.75}{160}{200}
\psclip{%
\pscircle[linestyle=none](0,0){1.75}}
\pscircle[fillstyle=solid,fillcolor=lightgray](-2.5,0){0.9}
\endpsclip%
}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% M I R R O R S %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\def\mirrorCVGRay{\@ifnextchar[{\pst@mirrorCVGRay}{\pst@mirrorCVGRay[]}}% Herbert 2003/01/05
\def\pst@mirrorCVGRay[#1](#2)(#3)#4{{%
\psset{#1}%
\ifx\psk@optic@mirrorType\mirrorType % CVG
%\typeout{====>\mirrorType}
%\typeout{====>\psk@optic@mirrorType}
\pst@getcoor{#2}\pst@tempA
\pst@getcoor{#3}\pst@tempB
\pnode(!%
\psk@optic@mirrorHeight\space dup mul 16 div
\psk@optic@mirrorDepth\space div XO add YO){Focus}
\pnode(!%
/Xmax \psk@optic@mirrorHeight\space 2 div def
/Ymax \psk@optic@mirrorDepth\space def
/A 2 \psk@optic@mirrorHeight\space div dup mul Ymax mul def
/XA \pst@tempA exch pop \pst@number\psyunit div neg def
/YA \pst@tempA pop \pst@number\psxunit div def
/XB \pst@tempB exch pop \pst@number\psyunit div neg def
/YB \pst@tempB pop \pst@number\psxunit div def
XB XA sub abs 0.01 lt {A XA dup mul mul XA neg}{
/m YB YA sub XB XA sub div def
/m2a m A div 2 div def
/Root m2a dup mul m XA mul YA sub A div sub sqrt def
/Xp m2a Root add XA sub def
/Xn m2a Root sub XA sub def
/YSp m Xp mul YA add def
/XSp Xp XA add neg def
/YSn m Xn mul YA add def
/XSn Xn XA add neg def
YA 0 eq {0 0}{XB XA lt {YSn XSn}{YSp XSp} ifelse} ifelse} ifelse) {#4}
\pst@getcoor{#2}\pst@tempc% the starting point
\pst@getcoor{#4}\pst@tempA% the point on the mirror
\pnode(!%
/XA \pst@tempA exch pop \pst@number\psyunit div neg def
/YA \pst@tempA pop \pst@number\psxunit div def
/XC \pst@tempc exch pop \pst@number\psyunit div neg def
/YC \pst@tempc pop \pst@number\psxunit div def
% Mittelpunktsstrahl?
XA abs 0.01 lt YA abs 0.01 lt and {%
/NoMoreReflection true def
YC XC
}{%
/DY YA YC sub def
/DX XA XC sub def
% Steigung der Tangente im Punkt (XA|YA) y'=2ax
/mRay A XA mul 2 mul def
% zugehoeriger Steigungswinkel alpha=arctan y'
/Alpha mRay 2 div 0.5 atan def
% das dazugehoerige Lot
/AlphaPerp 1.0 neg mRay atan def
% Winkel des einfallenden Strahls
/Beta DY DX atan def
% Winkel des ausfallenden Strahls
/BetaStrich AlphaPerp 2 mul Beta sub def
% senkrechte Steigung? cos BetaStrich = 0
BetaStrich cos abs 0.1 lt {%
/NoMoreReflection true def
Ymax 2 mul XA neg
}{%
% Steigung
/m BetaStrich sin BetaStrich cos div def
% Steigung, ab der kein Schnittpunkt mehr stattfindet
/mMax 2 A mul Xmax mul def
m abs mMax gt {
% no more second reflection
/NoMoreReflection true def
Ymax 2 mul dup YA sub m div XA add neg
}{
% moegliche 2. Reflektion
/NoMoreReflection false def
% pq Formel anwenden
/m2a m A div 2 div def
/Root m2a dup mul m XA mul YA sub A div sub sqrt def
/X1 m2a Root add def
/X2 m2a Root sub def
% be sure, that we get the right point
/X XA X1 sub abs 0.01 gt {X1}{X2} ifelse def
/Y A X dup mul mul def
Y X neg
} ifelse
} ifelse
} ifelse){#4'}
\pst@getcoor{#2}\pst@tempA
\pst@getcoor{#4'}\pst@tempB
\pst@getcoor{#4}\pst@tempc
\pnode(!%
/XB \pst@tempB exch pop \pst@number\psyunit div neg def
/YB \pst@tempB pop \pst@number\psxunit div def
NoMoreReflection
{YB XB neg}{%
/XC \pst@tempc exch pop \pst@number\psyunit div neg def
/YC \pst@tempc pop \pst@number\psxunit div def
/XAtemp \pst@tempA exch pop \pst@number\psyunit div neg def
/YAtemp \pst@tempA pop \pst@number\psxunit div def
/m1 2 A mul XB mul def
/Alpha2 m1 abs 0.01 lt {90}{1 neg m1 atan} ifelse def
/Beta XB XC sub abs 0.01 gt
{YC YB sub XC XB sub atan}
{90} ifelse def
/Gamma Alpha2 Beta sub def
/Delta Alpha2 Gamma add def
Delta cos abs 0.01 gt {%
/mDelta Delta sin Delta cos div def
/X YAtemp YB sub mDelta div XB add neg def}{%
/X XB neg def} ifelse
m1 abs 0.01 lt {YAtemp XAtemp}{YAtemp X} ifelse
} ifelse ){#4''}
\else
%--------------- A Spherical Mirror -----------------
%\typeout{====>\mirrorType}
%\typeout{====>\psk@optic@mirrorType}
\ABinterSPHLens(#2)(#3)(Center){tempRef0}
\pst@getcoor{tempRef0}\pst@tempA
\pst@getcoor{tempRef0'}\pst@tempB
\pnode(!%
\pst@tempA /Y1 exch \pst@number\psyunit div def
/X1 exch \pst@number\psxunit div def
\pst@tempB /Y2 exch \pst@number\psyunit div def
/X2 exch \pst@number\psxunit div def
X1 X2 lt {X1 Y1}{X2 Y2}ifelse ){#4}
\reflectionRay[#1](#2)(#4){tempRef1}
% we try if we have another intermediate point
\ABinterSPHLens(#4)(tempRef1)(Center){tempRef2}
\pst@getcoor{#4}\pst@tempA
\pst@getcoor{tempRef2}\pst@tempB
\pst@getcoor{tempRef2'}\pst@tempc
\pnode(!%
\pst@tempA /YP exch \pst@number\psyunit div def
/XP exch \pst@number\psxunit div def
\pst@tempB /Y1 exch \pst@number\psyunit div def
/X1 exch \pst@number\psxunit div def
\pst@tempc /Y2 exch \pst@number\psyunit div def
/X2 exch \pst@number\psxunit div def
XP X1 sub abs 0.01 gt {X1 Y1}{X2 Y2} ifelse ){#4'}
\reflectionRay[#1](tempRef1)(#4'){#4''}
\psset{mirrorType=CVG}% restore
\fi
\ifPst@drawing
\psline[#1](#2)(#4)
\psline[#1](#4)(#4')
\psline[#1](#4')(#4'')
\fi
}\ignorespaces}
%
%
\def\mirrorCVG{\@ifnextchar[{\pst@mirrorCVG}{\pst@mirrorCVG[]}}% Herbert Voss 2003/01/05
\def\pst@mirrorCVG[#1]{{%
\psset{AB=1.25,OA=4.5,XO=0,YO=0,xLeft=-5,xRight=5,yBottom=-3,yTop=3,%
mirrorHeight=5,mirrorDepth=1,mirrorWidth=0.2}%
\psset{#1}
\def\mirrorType{CVG}%
\begin{pspicture}(\psk@optic@xLeft,\psk@optic@yBottom)(\psk@optic@xRight,\psk@optic@yTop)
\pnode(\psk@optic@xLeft, 0){xLeft}
\pnode(\psk@optic@xRight, 0){xRight}
\pstVerb{%
/Height \psk@optic@mirrorHeight\space 2.0 div def
/Depth \psk@optic@mirrorDepth\space def
/Width \psk@optic@mirrorWidth\space def
/AB \psk@optic@AB\space def
/OA \psk@optic@OA\space def
/XO \psk@optic@XO\space def
/YO \psk@optic@YO\space def
/radius Height dup mul Depth dup mul add 2 div Depth div def
}
\pnode(! OA XO add YO){A}
\pnode(! OA XO add AB YO add){B}
\pnode(! XO YO){O}
\ifx\psk@optic@mirrorType\mirrorType % CVG
\pnode(!
\psk@optic@mirrorHeight\space dup mul 16 div
\psk@optic@mirrorDepth\space div XO add YO){Focus}
\else % SPH
\pnode(! radius XO add YO){Center}
\pnode(! radius 2 div XO add YO){Focus}
\fi
\pscustom[fillstyle=solid,fillcolor=\psk@optic@mirrorColor,%
linecolor=\psk@optic@mirrorColor]{%
% (d,h/2)->(d-w,h/2)
\psline(!%
\psk@optic@mirrorDepth\space \psk@optic@mirrorHeight\space 2 div)(!%
\psk@optic@mirrorDepth\space \psk@optic@mirrorWidth\space sub
\psk@optic@mirrorHeight\space 2 div)
% (-w/2,h/2)->(-w/2,-h/2)
\ifx\psk@optic@mirrorType\mirrorType % CVG or SPH
\parametricplot{\psk@optic@mirrorHeight}{-\psk@optic@mirrorHeight}{%
2 \psk@optic@mirrorHeight\space div dup mul \psk@optic@mirrorDepth\space mul
t 2 exp 4 div mul \psk@optic@mirrorWidth\space sub t 2 div }
\else
\parametricplot{\psk@optic@mirrorHeight}{-\psk@optic@mirrorHeight}{%
/radD radius \psk@optic@mirrorWidth\space add def
radius \psk@optic@mirrorWidth\space sub radD dup mul t 2 div dup mul sub sqrt sub t 2 div }
\fi
% (d-w,-h/2)(d,-h/2)
\psline(!%
\psk@optic@mirrorDepth\space \psk@optic@mirrorWidth\space sub
\psk@optic@mirrorHeight\space 2 div neg)(!%
\psk@optic@mirrorDepth\space \psk@optic@mirrorHeight\space 2 div neg)
% (w/2,-h/2)->(w/2,h/2)
\ifx\psk@optic@mirrorType\mirrorType % CVG or SPH
\parametricplot{-\psk@optic@mirrorHeight}{\psk@optic@mirrorHeight}{%
2 \psk@optic@mirrorHeight\space div dup mul \psk@optic@mirrorDepth\space mul
t 2 exp 4 div mul t 2 div }
\else
\parametricplot{-\psk@optic@mirrorHeight}{\psk@optic@mirrorHeight}{%
radius dup dup mul t 2 div dup mul sub sqrt sub t 2 div }
\fi
\fill
}
\ifPst@drawing
\psline[style=opticalAxis](O)(xRight)
\ifx\psk@optic@mirrorType\mirrorType\qdisk(Center){1.5pt}\uput{0.2}[-90](Center){Center}\fi
\qdisk(Focus){2pt}\uput[0](Focus){F}
\psline[linewidth=3\pslinewidth]{->}(A)(B)
\psset{linewidth=\pslinewidth,linecolor=\psk@optic@rayColor,arrows=>}
\uput[0](A){A}
\uput[0](B){B}
\pnode(! 1 \psk@optic@AB\space){Dummy}
\mirrorCVGRay[drawing=false](B)(Dummy){PR}
\psOutLine[length=\psk@optic@OA](PR)(PR'){PR''}
\nodeBetween(B)(PR){Dummy}
\psline(B)(Dummy)
\psline(Dummy)(PR)
\nodeBetween(PR)(PR''){Dummy}
\psline(PR)(Dummy)
\psline(Dummy)(PR'')
%
\mirrorCVGRay[drawing=false](B)(0, 0){MR}
\psOutLine[length=\psk@optic@OA](MR)(MR'){MR''}
\nodeBetween(B)(MR){Dummy}
\psline(B)(Dummy)
\psline(Dummy)(MR)
\nodeBetween(MR)(MR'){Dummy}
\psline(MR)(Dummy)
\psline(Dummy)(MR')
%
\mirrorCVGRay[drawing=false](B)(Focus){FR}
\psOutLine[length=\psk@optic@OA](FR)(FR'){FR''}
\nodeBetween(B)(FR){Dummy}
\psline(B)(Dummy)
\psline(Dummy)(FR)
\nodeBetween(FR)(FR'){Dummy}
\psline(FR)(Dummy)
\psline(Dummy)(FR')
%
\ABinterCD(PR)(PR')(FR)(FR'){B'}
\pnode( B'|0,0 ){A'}
\psline[linecolor=black,linewidth=3\pslinewidth,arrows=->](A')(B')
\uput[45](A'){A'}
\uput[-45](B'){B'}
\fi
\end{pspicture}%
}\ignorespaces}
%
%
\def\mirrorDVG{\@ifnextchar[{% Herbert Voss 2003/01/05
\pst@mirrorDVG}{\pst@mirrorDVG[]}}
\def\pst@mirrorDVG[#1]{{%
\psset{% the defaults
AB=1.25,OA=4,XO=0,YO=0,xLeft=-5,xRight=5,yBottom=-3,yTop=3,%
mirrorHeight=5,mirrorDepth=1,mirrorWidth=0.2,mirrorType=DVG}%
\def\mirrorType{DVG}%
\psset{#1}%
\pstVerb{
/Height \psk@optic@mirrorHeight\space 2 div def
/Depth \psk@optic@mirrorDepth\space def
/Width \psk@optic@mirrorWidth\space def
/radius Height dup mul Depth dup mul add 2 div Depth div def
/AB \psk@optic@AB\space def
/OA \psk@optic@OA\space def
/XO \psk@optic@XO\space def
/YO \psk@optic@YO\space def
}
\begin{pspicture}(\psk@optic@xLeft,\psk@optic@yBottom)(\psk@optic@xRight,\psk@optic@yTop)
\pnode(! \psk@optic@xLeft\space 0){xLeft}
\pnode(! \psk@optic@xRight\space 0){xRight}
\pnode(! OA XO add YO){A}
\pnode(! OA XO add AB YO add){B}
\pnode(! XO YO){O}
\ifx\psk@optic@mirrorType\mirrorType % DVG
\pnode(! Height dup mul 4 div Depth div XO add YO){Focus}
\else % SPH
\pnode(! radius neg XO add YO){Center}
\pnode(! radius 2 div XO add YO){Focus}
\fi
\pscustom[fillstyle=solid,%
fillcolor=\psk@optic@mirrorColor,%
linecolor=\psk@optic@mirrorColor]{%
% (d,h/2)->(d-w,h/2)
\psline(! Depth neg Height)(! Depth Width add neg Height)
% (-w/2,h/2)->(-w/2,-h/2)
\ifx\psk@optic@mirrorType\mirrorType
\parametricplot{\psk@optic@mirrorHeight}{-\psk@optic@mirrorHeight}{%
Depth Height dup mul div t 2 exp 4 div mul neg t 2 div }
\else
\parametricplot{\psk@optic@mirrorHeight}{-\psk@optic@mirrorHeight}{%
radius dup mul t 2 div dup mul sub sqrt radius sub t 2 div }
\fi
% (d-w,-h/2)(d,-h/2)
\psline(! Depth Width add neg Height neg)(! Depth neg Height neg)%
% (w/2,-h/2)->(w/2,h/2)
\ifx\psk@optic@mirrorType\mirrorType
\parametricplot{-\psk@optic@mirrorHeight}{\psk@optic@mirrorHeight}{%
Depth Height dup mul div t 2 exp 4 div mul neg Width sub t 2 div }
\else
\parametricplot{-\psk@optic@mirrorHeight}{\psk@optic@mirrorHeight}{%
radius Width sub dup mul t 2 div dup mul sub sqrt radius sub t 2 div }
\fi
\fill%
}
\ifPst@drawing
\psline[style=opticalAxis](xLeft)(xRight)
\qdisk(Center){2pt}\uput[-90](Center){C}
\qdisk(Focus){2pt}\uput{0.25}[-90](Focus){F}
\psline[linewidth=3\pslinewidth,arrowinset=0]{->}(A)(B)
\psset{linewidth=1.5\pslinewidth,linecolor=\psk@optic@rayColor,arrows=->}
\uput{0.15}[0](A){A}
\uput{0.15}[0](B){B}
%
\mirrorDVGRay[drawing=false](B)(0,\psk@optic@AB){PR}
% mirrorType=\psk@optic@mirrorType,drawing=false](B)(0,\psk@optic@AB){PR}
\qdisk(PR){1.5pt}\uput{0.2}[180](PR){PR}
\qdisk(PR'){1.5pt}\uput{0.2}[0](PR'){PR'}
\nodeBetween(B)(PR){PDummy}
\psline(B)(PDummy)
\psline(PDummy)(PR)
\psline[arrows=-, linestyle=dotted](Focus)(PR)
\psOutLine[arrows=-,linestyle=dotted](P)(Focus){PBegin}
\psline(PR)(PR')
%
\mirrorDVGRay[drawing=false](B)(! 0 0){MR}
% mirrorType=\psk@optic@mirrorType,%
\qdisk(MR){1.5pt}\uput{0.2}[180](MR){MR}
\qdisk(MR'){1.5pt}\uput{0.2}[0](MR'){MR'}
\nodeBetween(B)(! 0 0){MDummy}
\psline(B)(MDummy)
\psline(MDummy)(! 0 0)
\psline(MR)(MR')
%
\mirrorDVGRay[drawing=false](B)(Focus){FR}
% mirrorType=\psk@optic@mirrorType,%
\qdisk(FR){1.5pt}\uput{0.2}[180](FR){FR}
\qdisk(FR'){1.5pt}\uput{0.2}[0](FR'){FR'}
\nodeBetween(B)(FR){Dummy}
\psline(B)(Dummy)
\psline(Dummy)(FR)
\psline(FR)(FR')
\psline[arrows=-,linestyle=dotted](Focus)(FR)
\psOutLine[arrows=-, linestyle=dotted](FR)(Focus){PBegin}
\fi
\end{pspicture}%
}\ignorespaces}
%
\def\mirrorDVGRay{\@ifnextchar[{\pst@mirrorDVGRay}{\pst@mirrorDVGRay[]}}% Herbert Voss 2003/01/05
\def\pst@mirrorDVGRay[#1](#2)(#3)#4{{%
\psset{#1}%
\pnode(!%
\psk@optic@mirrorHeight\space dup mul 16 div
\psk@optic@mirrorDepth\space div neg 0){Focus}
\ifx\psk@optic@mirrorType\mirrorType % DVG or Spherical
\pst@getcoor{#2}\pst@tempA
\pst@getcoor{#3}\pst@tempB
\pnode(!%
/A 2 \psk@optic@mirrorHeight\space div dup mul \psk@optic@mirrorDepth\space mul neg def
/XA \pst@tempA exch pop \pst@number\psyunit div neg def
/YA \pst@tempA pop \pst@number\psxunit div def
/XB \pst@tempB exch pop \pst@number\psyunit div neg def
/YB \pst@tempB pop \pst@number\psxunit div def
XB abs 0.001 lt YB abs 0.001 lt and { 0 0 }{
XB XA sub abs 0.01 lt
{A XA dup mul mul XA neg}{
/Xmax \psk@optic@mirrorHeight\space 2 div def
/m YB YA sub XB XA sub div def
/m2a m A div 2 div def
/Root m2a dup mul m XA mul YA sub A div sub sqrt def
/X1 m2a Root add def
/X2 m2a Root sub def
/X XB X1 sub abs XB X2 sub abs lt
{X1}{X2} ifelse def
/Y A X dup mul mul def
X abs Xmax lt
{Y X neg}
{A Xmax dup mul mul Xmax neg} ifelse
} ifelse
} ifelse){#4}
% #4 is the point on the mirror
\pst@getcoor{#2}\pst@tempC% the starting point
\pst@getcoor{#4}\pst@tempA% the point on the mirror
\pst@getcoor{Focus}\pst@tempf% the point on the mirror
\pnode(!
/XA \pst@tempA exch pop \pst@number\psyunit div neg def
/YA \pst@tempA pop \pst@number\psxunit div def
/XC \pst@tempC exch pop \pst@number\psyunit div neg def
/YC \pst@tempC pop \pst@number\psxunit div def
XA abs 0.001 lt YA abs 0.001 lt and
{YC XC}{
/YF \pst@tempf pop \pst@number\psxunit div def
/DY YA YC sub def
/DX XA XC sub def
/Alpha A XA mul 0.5 atan def
/Delta 180 DY DX atan sub Alpha 2 mul add def
Delta round cvi 90 mod 0 eq {YC XA neg}{
/m DX abs 0.01 lt
{YA YF sub XA div}
{Delta sin Delta cos div} ifelse def
/X \psk@optic@length\space Delta cos mul neg XA add def
/Y \psk@optic@length\space Delta sin mul neg YA add def
Y X neg
} ifelse
} ifelse){#4'}% second point on the mirror
\else
%--------------- A Spherical Mirror -----------------
\ABinterSPHLens(#2)(#3)(Center){tempRef0}
\pst@getcoor{tempRef0}\pst@tempA
\pst@getcoor{tempRef0'}\pst@tempB
\pnode(!%
\pst@tempA /Y1 exch \pst@number\psyunit div def
/X1 exch \pst@number\psxunit div def
\pst@tempB /Y2 exch \pst@number\psyunit div def
/X2 exch \pst@number\psxunit div def
X1 X2 gt {X1 Y1}{X2 Y2}ifelse ){#4}
\reflectionRay[mirrorType=SPH](#2)(#4){tempRef1}
\pnode(tempRef1){#4'}
\fi
\ifPst@drawing
\psline[#1](#2)(#4)(#4')
\fi
}\ignorespaces}
%
% HEadlight Herbert <voss@perce.de> 2003/01/23
%
\def\beamLight{\@ifnextchar[{\pst@beamLight}{\pst@beamLight[]}}
\def\pst@beamLight[#1]{{%
\psset{xLeft=-5,xRight=5,yBottom=-5,yTop=5,%
drawing=false}% the defaults
\psset{#1}%
\begin{pspicture*}(\psk@optic@xLeft,\psk@optic@yBottom)(\psk@optic@xRight,\psk@optic@yTop)
\rput(0,0){%
\mirrorCVG[#1]%
}
\psline[linewidth=0.1cm]%
(!\psk@optic@mirrorDepth\space \psk@optic@mirrorHeight\space 2 div neg)%
(!\psk@optic@mirrorDepth\space \psk@optic@mirrorHeight\space 2 div)
\psset{linewidth=0.75mm,fillstyle=solid}
\psline(-1.1,1)(0.2,1)
\psline(-1.1,-1)(0.2,-1)
\pscurve(0.2,0.75)(1.6,1.5)(3,1)(3.5,0)(3,-1)(1.6,-1.5)(0.2,-0.75)
\psframe(-1.1,-0.85)(0.2,0.85)
\psframe(0.2,-0.3)(0.5,0.3)
\psline(-1.1,-0.85)(-1.4,-0.6)(-1.4,0.6)(-1.1,0.85)
\psline(0,0)(2.9,0)(2.9,0.5)(0.9,0.5)(0.9,0)%
\psline(3.0,0)(3.0,-0.3)(2.5,-0.3)(2.2,0.15)(2,-0.15)%
(1.8,0.15)(1.6,-0.15)(1.4,0.15)(1.2,-0.15)(1,0.15)%
\psline[linecolor=black,linewidth=0.5pt,linestyle=dashed](-1.75,0)(10,0)
\end{pspicture*}%
}\ignorespaces}
%
%
%Telescope
%2 juillet 2001
%
\def\mirrorTwo{%
\psframe[linestyle=none,%
fillstyle=vlines,%
hatchwidth=0.5\pslinewidth,%
hatchsep=3\pslinewidth](-1,0)(1,0.2)
\psline[linewidth=1.5\pslinewidth](-1,0)(1,0)%
}
%
\def\telescope{\@ifnextchar[{\pst@telescope}{\pst@telescope[]}}
\def\pst@telescope[#1]{{%
\psset{xLeft=-0.5,xRight=11,yBottom=-6,yTop=2}% the default
\def\@tempa{#1}%
\ifx\@tempa\@empty\else\psset{#1}\fi%
\pstVerb{%
/mirrorFocus \psk@optic@mirrorFocus\space def
/Coeff mirrorFocus 4 mul def
/mirrorTwoAngle \psk@optic@mirrorTwoAngle\space def
/posMirrorTwo \psk@optic@posMirrorTwo\space def
}%
%
\begin{pspicture*}(\psk@optic@xLeft,\psk@optic@yBottom)(\psk@optic@xRight,\psk@optic@yTop)
\rput(0,0){%
\mirrorCVG[%
mirrorHeight=4,%
mirrorWidth=0.25,%
mirrorDepth=0.25,%
drawing=false]%
}
\pnode(! \psk@optic@xLeft\space 0){xLeft}
\pnode(! \psk@optic@xRight\space 0){xRight}
\psline[linewidth=0.5\pslinewidth](11,0)
\pnode(! 1.5 dup mul Coeff div 1.5){P1}
\pnode(! 1.5 dup mul Coeff div 1.5 neg){P2}
\pnode(! mirrorFocus 0){mirrorFocusNode}
\pnode(! posMirrorTwo 1 mirrorTwoAngle cos mul sub
1 mirrorTwoAngle sin mul){UpMirror2}
\pnode(! posMirrorTwo 1 mirrorTwoAngle cos mul add
1 mirrorTwoAngle sin mul neg){DownMirror2}
\ABinterCD(P1)(mirrorFocusNode)(UpMirror2)(DownMirror2){Inter1}
\ABinterCD(P2)(mirrorFocusNode)(UpMirror2)(DownMirror2){Inter2}
\pnode(!%
\psk@optic@posMirrorTwo\space posMirrorTwo mirrorFocus sub){ocularFocusNode}
{%
\psset{linecolor=red}
\Arrows[arrows=->,arrowsize=0.2](11,1.5)(P1)
\Arrows[arrows=->,arrowsize=0.2](P1)(Inter1)
%
\Arrows[arrows=->>,arrowsize=0.2](11,-1.5)(P2)
\Arrows[arrows=->>,arrowsize=0.2](P2)(Inter2)
\psline[linestyle=dashed](Inter2)(mirrorFocusNode)
\pnode(! 5 \psk@optic@posMirrorTwo\space 2 sub neg){ocularLeft}
\pnode(! 7 \psk@optic@posMirrorTwo\space 2 sub neg){ocularRight}
\ABinterCD(Inter1)(ocularFocusNode)(ocularLeft)(ocularRight){FO1}
\ABinterCD(Inter2)(ocularFocusNode)(ocularLeft)(ocularRight){FO2}
\Arrows[arrows=->>,arrowsize=0.2,length=1](Inter2)(FO2)
\psline(11,-1.5)(P2)(Inter2)(FO2)
\Arrows[arrows=->,arrowsize=0.2](Inter1)(ocularFocusNode)
\psline[linestyle=dashed](Inter1)(mirrorFocusNode)
\psline(11,1.5)(P1)(Inter1)(FO1)
}
\rput{-\psk@optic@mirrorTwoAngle}(\psk@optic@posMirrorTwo,0){\mirrorTwo}
\uput[90](mirrorFocusNode){$\mathrm{F_1}$}
\uput[180](ocularFocusNode){$\mathrm{F_2}$}
\rput{90}(!%
\psk@optic@posMirrorTwo\space
\psk@optic@posMirrorTwo\space 2 sub neg){%
\psscalebox{0.5 0.4}{\lens[lensWidth=0.4,lensGlass=true,drawing=false]}}
\pnode(0,2){Aux1}
\pnode(0,-2){Aux2}
\Parallel[length=1](Aux1)(Aux2)(FO1){Eye1}
\Parallel[length=1](Aux1)(Aux2)(FO2){Eye2}
{%
\psset{linecolor=red,arrowsize=0.2,length=0.7}
\psline[linecolor=red](FO1)(Eye1)
\psline[linecolor=red](FO2)(Eye2)
\Arrows[arrows=->](FO1)(Eye1)
\Arrows[arrows=->>](FO2)(Eye2)%
}
\rput{-90}(!%
\psk@optic@posMirrorTwo\space
\psk@optic@posMirrorTwo\space neg){\psscalebox{0.6}{\eye}}
\end{pspicture*}%
}\ignorespaces}
%
%Images et réflexions sur un miroir plan
%(#1) coordonnées du point objet (XA,YA)
%(#2) coordonnées d'une extrémité du miroir (X1,Y1)
%(#3) coordonnées de l'autre extrémité du miroir (X2,Y2)
%{#4} nom de l'image A'
%
\def\planMirrorRay(#1)(#2)(#3)#4{{%
\pst@getcoor{#1}\pst@tempA
\pst@getcoor{#2}\pst@tempB
\pst@getcoor{#3}\pst@tempc
\pnode(!%
\pst@tempA /YA exch \pst@number\psyunit div def
/XA exch \pst@number\psxunit div def
\pst@tempB /Y1 exch \pst@number\psyunit div def
/X1 exch \pst@number\psxunit div def
\pst@tempc /Y2 exch \pst@number\psyunit div def
/X2 exch \pst@number\psxunit div def
/Dx X2 X1 sub def
/Dy Y2 Y1 sub def
/xH XA Dx Dx mul mul
X1 Dy Dy mul mul
add
YA Y1 sub Dx Dy mul mul
add
Dx Dx mul Dy Dy mul add
div
def
/yH YA Dy Dy mul mul
Y1 Dx Dx mul mul
add
XA X1 sub Dx Dy mul mul
add
Dx dup mul Dy dup mul add
div
def
/xA' 2 xH mul XA sub def
/yA' 2 yH mul YA sub def
/D12 Dx Dx mul Dy Dy mul add sqrt def
xA' yA' moveto
xH yH rlineto
xA' yA'){#4}
}\ignorespaces}
%
% 2002/12/27
%
\def\symPlan(#1)(#2){\pst@killglue\pst@makebox{\symPlan@(#1)(#2)}}%
\def\symPlan@(#1)(#2){{%
\pst@getcoor{#1}\pst@tempA%
\pst@getcoor{#2}\pst@tempB%
\leavevmode
\hbox{%
\pnode(!%
\pst@tempA /Y1 exch def
/X1 exch def
\pst@tempB /Y2 exch def
/X2 exch def
/DX X2 X1 sub def
/DY Y2 Y1 sub def
/D12 DX dup mul DY dup mul add def
/ax 2 DX dup mul mul D12 div 1 sub def
/by 2 DX DY mul mul D12 div def
/cx by def
/dy 2 DY dup mul mul D12 div 1 sub def
/tx X1 DY dup mul mul
Y1 DX DY mul mul sub
2 mul
D12 div
def
/ty Y1 DX dup mul mul
X1 DX DY mul mul sub
2 mul
D12 div
def
X1 Y1){Factice}%
\pst@Verb{%
{ [ax by cx dy tx ty] concat
} \tx@TMChange}%
\box\pst@hbox
\pst@Verb{\tx@TMRestore}}%
}\ignorespaces}
%
% refractionRay[options](A)(B)(C)(D){rNoA}{rNoB}{E}
% (A)(B) the ray nodes
% (C)(D) the nodes of the other material
% {rNoA}{rNoB} the refraction numbers
% {E} the intermediate node of the ray and the material
% {E'} the end node of the ray
%
% Herbert Voss <voss@perce.de> 2003-01-26
%
\def\refractionRay{\@ifnextchar[{\pst@refractionRay}{\pst@refractionRay[]}}
\def\pst@refractionRay[#1](#2)(#3)(#4)(#5)#6#7#8{{%
\psset{#1}
\pst@getcoor{#2}\pst@tempA
\pst@getcoor{#3}\pst@tempB
\pst@getcoor{#4}\pst@tempc
\pst@getcoor{#5}\pst@tempd
\ABinterCD(#2)(#3)(#4)(#5){#8}
%\psset{linecolor=black}
%\qdisk(#8){2pt}
% #8 is the point on the material
\pst@getcoor{#8}\pst@tempp
\def\pst@optic@cIn{#6} % refraction number 1
\def\pst@optic@cOut{#7} % refraction number 2
\pnode(!%
/YA \pst@tempA exch pop \pst@number\psyunit div def
/XA \pst@tempA pop \pst@number\psxunit div def
/YB \pst@tempB exch pop \pst@number\psyunit div def
/XB \pst@tempB pop \pst@number\psxunit div def
/YC \pst@tempc exch pop \pst@number\psyunit div def
/XC \pst@tempc pop \pst@number\psxunit div def
/YD \pst@tempd exch pop \pst@number\psyunit div def
/XD \pst@tempd pop \pst@number\psxunit div def
/YP \pst@tempp exch pop \pst@number\psyunit div def
/XP \pst@tempp pop \pst@number\psxunit div def
/dY1 YP YA sub def
/dX1 XP XA sub def
/dY2 YD YC sub def
/dX2 XD XC sub def
% the gradient of the material (if negativ then it must be the nominator)
/Gamma dY2 dX2 mul 0 lt {dY2 abs neg dX2 abs}{dY2 dX2} ifelse atan def
% the perpendicular line is: 90°-Gamma
/GammaStrich 90 Gamma sub def
% the angle of the incoming ray
/AlphaStrich dY1 dX1 atan def
% the same relative to the material
/Alpha 90 AlphaStrich sub Gamma add def
% the angle of the outgoing ray relative to the material
% the law of Snell: sin(Alpha)/sin(Beta) = n2/n1
% sin(Beta)>1 is a total reflection instead of a refraction
/sinBeta \pst@optic@cIn\space \pst@optic@cOut\space div Alpha sin mul def
sinBeta abs 1 le{
/Root 1 sinBeta dup mul sub sqrt def
/Beta sinBeta Root atan def
}{
/Beta 180 Alpha sub def
} ifelse
% the same absolute
/BetaStrich 90 Gamma sub Beta add def
% Determine the intermediate point
XP BetaStrich cos sub
YP BetaStrich sin add ){#8'}
%\qdisk(#8){5pt}
}\ignorespaces}
%
% Herbert Voss <voss@perce.de> 2003-02-10
%
% reflectionRay[options](A)(B){C}
% options: the type of
% (A)(B) the ray nodes
% {C} the intermediate node of the ray and the material
% {C'} the end node of the reflected ray
%
\def\reflectionRay{\@ifnextchar[{\pst@reflectionRay}{\pst@reflectionRay[]}}
\def\pst@reflectionRay[#1](#2)(#3)#4{{%
\psset{#1}
\pst@getcoor{#2}\pst@tempA% the starting point
\pst@getcoor{#3}\pst@tempp% the point on the mirror
\pst@getcoor{Center}\pst@tempc% the center/focus of the mirror
\ifx\psk@optic@mirrorType\mirrorType% Parabolic
\else% Spherical
\pnode(!%
/XA \pst@tempA exch pop \pst@number\psyunit div neg def
/YA \pst@tempA pop \pst@number\psxunit div def
/XC \pst@tempc exch pop \pst@number\psyunit div neg def
/YC \pst@tempc pop \pst@number\psxunit div def
/XP \pst@tempp exch pop \pst@number\psyunit div neg def
/YP \pst@tempp pop \pst@number\psxunit div def
/dY1 YA YP sub def
/dX1 XA XP sub def
/signum YP 0 lt {-1}{1}ifelse def
% the gradient of the point. radius must be defined
/root radius dup mul XP dup mul sub sqrt def
/Gamma XP signum mul root atan 180 sub def
% the angle of the incoming ray
/AlphaStrich dY1 dX1 atan 180 sub def
% the same relative to the material
/Alpha 90 AlphaStrich sub Gamma add def
% the angle of the outgoing ray absolute
% /BetaStrich Alpha 2 mul AlphaStrich sub def
/BetaStrich Gamma Alpha add 90 sub def
% Determine the intermediate point
YP BetaStrich sin add XP BetaStrich cos add neg){#4}
\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[linewidth=\psk@optic@rayWidth,linecolor={[wave]{\psk@Prism@Lambda}},arrowscale=2]{->}(P1)(I2)(R2)
\psline[linewidth=\psk@optic@rayWidth,linecolor={[wave]{\psk@Prism@Lambda}}](E1)(P1)
\psline[linewidth=\psk@optic@rayWidth,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[linewidth=\psk@optic@rayWidth,linecolor=prism](I1)(I2)(R2)}
\psline[linewidth=\psk@optic@rayWidth,linecolor=\psk@optic@rayColor,linewidth=0.5mm](E1)(I1)
\psline[linewidth=\psk@optic@rayWidth,linecolor=\psk@optic@rayColor,linewidth=0.5mm,arrowscale=2]{->}(E1)(!i1x E1x add 2 div i1y E1y add 2 div)
\end@SpecialObj%
}
%
%
\def\resetOpticOptions{% hv 2006-07-20
\newpsstyle{opticalAxis}{linewidth=0.5pt,linecolor=black,linestyle=solid}
\psset[pst-optic]{%
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,
mirrorType=CVG,mirrorDepth=1,mirrorHeight=5,mirrorWidth=0.25,
mirrorFocus=8,mirrorTwoAngle=45,posMirrorTwo=6,mirrorColor=lightgray,
refractA=1,refractB=1.41,
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,%
AnglePrism=60,AnglePlan1=25,AnglePlan2=55,k=1,lambda=632.8,notations=true,
rayWidth=\pslinewidth}%
% \gdef\mirrorType{CVG}%
% \gdef\lensTypeCVG{CVG}%
}
\catcode`\@=\PstAtCode\relax
%
%% END: pst-optic.tex
\endinput
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