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% A131.mp
% P. J. Sebastiao
% 2012
input featpost3Dplus2D;
prologues:=3;
verbatimtex
\documentclass{article}
\usepackage{amsmath,amssymb}
\begin{document}
etex
beginfig(1);
color orig, axxc, ayyc, azzc,ngorig, ngorigb;
color field, nalfa, ngamma[], alfacnt, gammacnt, nazy, nax,nalfaz, alfacntb, gammacntb,ngammab[],nazyb, naxb;
path alfa, gamma, alfab, gammab;
numeric nalfad, theta, radius, gradius, gammang, xxsize, yysize, zzsize, thetb, radiusb;
numeric xxpos, yypos, zzpos, fieldpos, deltarad, deltapos;
numeric thetarad, thetapos, nalfapos, ngammapos,veccpos;
numeric etalpharad, etalphapos, alphapos, gammapos;
picture xxlabel, yylabel, zzlabel, fieldlabel, deltalabel, xxcalabel,yycalabel, phimlabel, phiMlabel;
picture nalfalabel, ngammalabel, etalphalabel, alphalabel;
picture gammalabel, thetalabel,vecclabel, thetalabelb, corelabel;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%ShiftV := origin;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
f := (3,4,2);
Spread := 100;
xxsize := 0.8;
xxpos := 6;
yysize := 0.8;
yypos := 6;
zzsize := 1.3;
zzpos := 4;
field := (0.56,0.3,0.5);
fieldpos := 2;
deltarad := 0.45;
deltapos := 3;
nalfad := 0.8;
theta := 25;
thetb := 18;
thetarad := 0.3;
thetapos := 2;
nalfapos := 7;
gammang := -20;
ngammapos := 4;
etalpharad := 0.4;
etalphapos := 4;
alphapos := 6;
gammapos := 6;
veccpos := 3;
xxcalabel = btex $x_{\mbox{\protect \scriptsize layer}}$ etex;
yycalabel = btex $y_{\mbox{\protect \scriptsize layer}}$ etex;
xxlabel = btex $x_{\mbox{\protect \scriptsize} M}$ etex;
yylabel = btex $y_{\mbox{\protect \scriptsize M}}$ etex;
zzlabel = btex $z_{\mbox{\protect \scriptsize M}}$ etex;
corelabel = btex $\mbox{core}$ etex;
deltalabel = btex $\beta$ etex;
fieldlabel = btex $\mathbf{n}$ etex;
thetalabel = btex $\theta_1$ etex;
thetalabelb = btex $\theta_2$ etex;
nalfalabel = btex $\mathbf{n}_\alpha$ etex;
ngammalabel = btex $\mathbf{ch}$ etex;
etalphalabel= btex $\eta_\alpha$ etex;
alphalabel = btex $\alpha$ etex;
phimlabel = btex $-\phi_{\mbox{\protect \scriptsize 0}}/2$ etex;
phiMlabel = btex $\phi_{\mbox{\protect \scriptsize 0}}/2$ etex;
gammalabel = btex $\gamma$ etex;
vecclabel = btex $\mathbf{c}$ etex;
orig = (0,0,0);
axxc = (xxsize,0,0);
ayyc = (0,yysize,0);
azzc = (0,0,zzsize);
nalfa = (-nalfad*sind(theta)*cosd(90),nalfad*sind(theta)*sind(90),nalfad*cosd(theta));
nalfaz = (-nalfad*sind(thetb)*cosd(90),nalfad*sind(thetb)*sind(90),-nalfad*cosd(thetb));
alfacnt = (0,0,nalfad*cosd(theta));
alfacntb = (0,0,-nalfad*cosd(thetb));
radius = nalfad*sind(theta);
radiusb = nalfad*sind(thetb);
gradius = 0.5*radius;
alfa = rigorouscircle( alfacnt, (0,0,1), radius );
alfab = rigorouscircle( alfacntb, (0,0,1), radiusb );
ngorig = orig+nalfa;
ngorigb = orig+nalfaz;
gammacnt = cosd(theta)*cosd(theta)*nalfa+0.75*nalfa;
gammacntb = cosd(theta)*cosd(theta)*nalfaz+0.75*nalfaz;
radius := cosd(theta)*sind(theta);
gamma = rigorouscircle( gammacnt, nalfa, gradius );
gammab = rigorouscircle( gammacntb, nalfaz, gradius );
pickup pencircle scaled 1;
for i=0 step 40 until 0:
nazy := gradius*sind(gammang+i)*ncrossprod( nalfa, axxc );
nax := gradius*cosd(gammang+i)*ncrossprod( ayyc, nalfa );
ngamma[i] := gammacnt+nax+nazy;
draw rp(ngorig)..rp(ngamma[i]);
nazyb := gradius*sind(gammang+i)*ncrossprod( nalfaz, axxc );
naxb := gradius*cosd(gammang+i)*ncrossprod( ayyc, nalfaz );
ngammab[i] := gammacntb+naxb+nazyb;
draw rp(ngorigb)..rp(ngammab[i]);
endfor;
pickup pencircle scaled 0.5;
draw alfa dashed evenly;
draw alfab dashed evenly;
drawarrow rp(orig)..rp(axxc);
drawarrow rp(orig)..rp(ayyc);
drawarrow rp(-azzc)..rp(azzc);
drawarrow rp(orig)..rp(2*field);
pickup pencircle scaled 2;
draw rp(orig)..rp(nalfa);
draw rp(orig)..rp(nalfa);
draw rp(orig)..rp(nalfaz);
pickup pencircle scaled 0.5;
draw rp(nalfa)..rp(gammacnt) dashed evenly;
draw rp(nalfaz)..rp(gammacntb) dashed evenly;
% draw subpath (3.05,1.05) of alfa;
% drawarrow subpath (4,3) of alfa;
% draw subpath (0,1.3) of gamma;
% draw subpath (7.5,8) of gamma;
% drawarrow subpath (1,2) of gamma;
anglinen( field, azzc, orig, deltarad, deltalabel, deltapos );
anglinen( azzc, nalfa, orig, thetarad*1.5, thetalabel, thetapos );
anglinen( nalfaz, -azzc, orig, thetarad*2, thetalabelb, thetapos );
% anglinen( nalfa, nalfaz, orig, thetarad*1.25, btex $\Delta$ etex, 5 );
% anglinen( ngamma0, field, orig, etalpharad, etalphalabel, etalphapos );
labeln( xxlabel, rp(axxc), xxpos );
labeln( yylabel, rp(ayyc), yypos );
labeln( zzlabel, rp(azzc), zzpos );
labeln( corelabel, rp(orig+(0.2,-0.1,-0.2)), 1 );
labeln( fieldlabel, rp(2*field), fieldpos );
% labeln( nalfalabel, rp(nalfa), nalfapos );
labeln( ngammalabel, rp(ngamma0), ngammapos );
labeln( ngammalabel, rp(ngammab0), 1 );
labeln( phiMlabel, point 1 of alfa, 7 );
labeln( phimlabel, point 4 of alfa, 5 );
labeln( phiMlabel, point 0.4 of alfab, 7 );
labeln( phimlabel, point 3.5 of alfab,4 );
% labeln( gammalabel, point 8 of gamma, gammapos );
% labeln( yycalabel, rp(gammacnt+1.3*radius*(-1,0,0)), 0);
% labeln( xxcalabel, rp(gammacnt+1.3*radius*(0,1,-sind(theta))), 0);
pickup pencircle scaled 1.5;
% draw rp(alfacnt);
% draw rp(gammacnt);
pickup pencircle scaled 0.5;
path arco, recta_um, recta_dois, recta_xlayer, path_ngamma;
path arcob, recta_umb, recta_doisb ;
pickup pencircle scaled 0.5;
recta_um = rp(alfacnt)--rp(alfacnt+nalfad*1.4*radius*(1,0,0));
recta_dois = rp(alfacnt)--rp(alfacnt+nalfad*1.4*radius*(0,1,0));
draw recta_um;
draw recta_dois;
draw rp(nalfa)..rp((0,nalfad*sind(theta)*sind(90),-nalfad*cosd(thetb))) dashed evenly;
recta_umb = rp(alfacntb)--rp(alfacntb+nalfad*1.4*radius*(1,0,0));
recta_doisb = rp(alfacntb)--rp(alfacntb+nalfad*1.4*radius*(0,1,0));
draw recta_umb;
draw recta_doisb;
pickup pencircle scaled 1;
arco = (alfa cutbefore recta_dois) cutafter recta_um;
draw arco;
arcob = (alfab cutbefore recta_doisb) cutafter recta_umb;
draw arcob;
pickup pencircle scaled 0.5;
% drawarrow rp(gammacnt)--rp(gammacnt+1.3*radius*(-1,0,0));
path_ngamma = rp(gammacnt)--rp(ngamma0)--rp((0,0,0));
% draw path_ngamma;
%%% c vector
draw rp(gammacnt)--rp(ngamma0) dashed evenly;
draw rp(gammacntb)--rp(ngammab0) dashed evenly;
recta_xlayer = rp(gammacnt)--rp(gammacnt+1.3*radius*(0,1,-sind(theta)));
% drawarrow recta_xlayer;
pickup pencircle scaled 0.5;
arco := (gamma cutbefore recta_xlayer) cutafter path_ngamma;
draw gamma dashed evenly;
draw gammab dashed evenly;
undraw arco;
pickup pencircle scaled 0.5;
draw gamma dashed evenly;
% draw subpath (0,0.9) of gamma;
% draw subpath (7.6,8) of gamma;
% draw subpath (1.5,8) of gamma;
draw subpath (3.2,1.2) of alfa;
% labeln( vecclabel, rp(ngamma0), veccpos);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
picture schemepic;
schemepic = currentpicture;
numeric initang, stampnum, stepang, stampoffset;
stampnum = 15;
stampoffset = 0.2mm;
initang = 180/stampnum;
stepang = 2*initang;
drawoptions();
for i=0 upto (stampnum-1):
draw schemepic
shifted (stampoffset*dir(initang+i*stepang))
withcolor (blue+green);
endfor;
draw schemepic;
endfig;
verbatimtex \end{document} etex
end;
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