Source de pst-prisme.tex
%% Package `pst-prisme.tex' %% %% 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-prisme' is a PSTricks package for %% refraction and rispersion of Light by a glass prism %% %% Author : Manuel Luque <Mluque5130@aol.com> %% \csname PSTPrismeLoaded\endcsname \let\PSTPrismeLoaded\endinput % % Require PSTricks, pst-node, pst-grad, pst-xkey and multido packages \ifx\PSTricksLoaded\endinput\else\input pstricks.tex\fi \ifx\MultidoLoaded\endinput\else\input multido.tex\fi \ifx\PSTGradLoaded\endinput\else\input pst-grad.tex\fi \ifx\PSTNodeLoaded\endinput\else\input pst-node.tex\fi \ifx\PSTXKeyLoaded\endinput\else\input pst-xkey.tex\fi \ifx\PSTmathLoaded\endinput\else\input pst-math.tex\fi % \def\fileversion{1.0} \def\filedate{05/10/20} % \message{`PST-prisme' v\fileversion, \filedate\space (ML)} \edef\PstAtCode{\the\catcode`\@} \catcode`\@=11\relax % \pst@addfams{pst-prisme} \define@key[psset]{pst-prisme}{AnglePrisme}{\edef\psk@Prisme@AnglePrisme{#1}} \define@key[psset]{pst-prisme}{AnglePlan1}{\edef\psk@Prisme@AnglePlanOne{#1}} \define@key[psset]{pst-prisme}{AnglePlan2}{\edef\psk@Prisme@AnglePlanTwo{#1}} \define@key[psset]{pst-prisme}{lambda}{\edef\psk@Prisme@Lambda{#1}} \define@key[psset]{pst-prisme}{k}{\edef\psk@Prisme@k{#1}} \newif\ifPst@Prisme@notations \define@key[psset]{pst-prisme}{notations}[true]{\@nameuse{Pst@Prisme@notations#1}}% % \psset{AnglePrisme=60,AnglePlan1=25,AnglePlan2=55,k=1,lambda=632.8,notations=true} % \SpecialCoor %% Commande \psprisme \def\psprisme{\pst@object{psprisme}} \def\psprisme@i{{% \begin@SpecialObj \ifPst@Prisme@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(! /AnglePrisme \psk@Prisme@AnglePrisme\space 2 div def /AnglePlan1 \psk@Prisme@AnglePlanOne\space def /AnglePlan2 \psk@Prisme@AnglePlanTwo\space def /lambda \psk@Prisme@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@Prisme@k\space def % /g1x AnglePrisme sin neg def % -sin(A/2) /g1y AnglePrisme 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_prisme} \pspolygon[fillstyle=gradient,gradbegin=cyan,gradend=white,gradangle=60,gradmidpoint=0.5](O)% (! 7 90 AnglePrisme add cos mul 7 90 AnglePrisme add sin mul) (! 7 90 AnglePrisme sub cos mul 7 90 AnglePrisme 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 AnglePrisme add def /sinB1 alpha1 sin N div def /B1 sinB1 asin def /Delta1 AnglePrisme B1 sub def %%% /g2x AnglePrisme sin def /g2y AnglePrisme 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 AnglePrisme 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 AnglePrisme 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 AnglePrisme 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 AnglePrisme tan mul sub} bind def /bQ' {i2y i2x AnglePrisme tan mul add} bind def /xQ {bQ' bQ sub 2 div AnglePrisme 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 AnglePrisme add alpha1 sub}{!180 AnglePrisme add} \uput{1}[! 180 AnglePrisme add alpha1 2 div sub](0,0){$i_1$} \psarc[linecolor=blue]{<-}(0,0){1}{!AnglePrisme B1 sub}{!AnglePrisme} \uput{1.2}[! AnglePrisme 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}{! AnglePrisme neg 180 add}{!AnglePrisme neg 180 add B2 add} \uput{1}[!AnglePrisme neg 180 add B2 2 div add](0,0){$r_2$} \psarc{->}(0,0){1}{! AnglePrisme neg}{!alpha2 AnglePrisme sub} \uput{1.2}[!alpha2 2 div AnglePrisme sub](0,0){$i_2$} \uput{0.4}[90](0,0){$I_2$}} \psline[linecolor={[wave]{\psk@Prisme@Lambda}},arrowscale=2]{->}(P1)(I2)(R2) \psline[linecolor={[wave]{\psk@Prisme@Lambda}}](E1)(P1) \psline[linecolor={[wave]{\psk@Prisme@Lambda}},arrowscale=2]{->}(E1)(!i1x E1x add 2 div i1y E1y add 2 div) \psarc(0,0){0.8}{!90 AnglePrisme sub}{!90 AnglePrisme 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@Prisme@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@Prisme@Lambda}}](E1) \psdot[dotstyle=o](C2) \psdot[dotstyle=o](R2) \fi \end@SpecialObj }} % %% Commande \psprismeColor \def\psprismeColor{\pst@object{psprismeColor}} \def\psprismeColor@i{{% \begin@SpecialObj \pnode(0,0){O} \pnode(! /AnglePrisme \psk@Prisme@AnglePrisme\space 2 div def /AnglePlan1 \psk@Prisme@AnglePlanOne\space def /AnglePlan2 \psk@Prisme@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@Prisme@k\space def % /g1x AnglePrisme sin neg def % -sin(A/2) /g1y AnglePrisme 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_prisme} \pspolygon[fillstyle=gradient,gradbegin=cyan,gradend=white,gradangle=60,gradmidpoint=0.5](O)% (! 7 90 AnglePrisme add cos mul 7 90 AnglePrisme add sin mul) (! 7 90 AnglePrisme sub cos mul 7 90 AnglePrisme sub sin mul) \multido{\iLAMBDA=400+5}{80}{% \definecolor{prisme}{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 /lambda \iLAMBDA\space 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 AnglePrisme add def /sinB1 alpha1 sin N div def /B1 sinB1 asin def /Delta1 AnglePrisme B1 sub def %%% /g2x AnglePrisme sin def /g2y AnglePrisme 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 AnglePrisme 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 AnglePrisme 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=prisme](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 }} \catcode`\@=\PstAtCode\relax \endinput
— Syracuse — Dernière modification : 30 décembre 2005 (0.08s - 3483041 - 8 septembre 2008)
