[mcstas-users] Negative intensity reading on a PSD_monitor?
Serge Duarte Pinto
S.C.DuartePinto at tudelft.nl
Tue Jul 2 12:27:50 CEST 2013
Hello,
I am trying to simulate a spin precession setup that yields a spatial
modulation pattern after an analyzer. The modulations clearly show up on
the PSD_monitor (see screenshot), but curiously the downward swings go
below zero intensity! I wonder how that is possible, and what I could
possibly do against it. I also do not understand the units of intensity:
I send a million neutrons to an area of 5 cm^2, to get intensities of
the order 10^-13...
I attach the instrument description, together with the components
Foil_flipper_magnet and Analyser_ideal it depends on. And the result I
get when I run it.
Thanks in advance,
Serge Duarte Pinto
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DEFINE INSTRUMENT SEMSANS()
TRACE
COMPONENT arm = Arm()
AT (0,0,0) ABSOLUTE
COMPONENT Simple_source = Source_simple(
radius = 0, yheight = 0.025, xwidth = 0.02, dist = 100,
focus_xw = 0.01, focus_yh = 0.01, lambda0 = 2.1,
dlambda = 0.01)
AT (0, 0, 0) RELATIVE arm
COMPONENT polariser = Set_pol(px=1)
AT (0, 0, 0.5) RELATIVE arm
// 2.1 Angstrom neutrons in a precession field of 1mT precess one period in 6.45 cm.
COMPONENT B_field1=Pol_simpleBfield(xwidth=0.5, yheight=0.05, zdepth=2, Bx=0, By=0.001, Bz=0)
AT (0, 0, 1) RELATIVE arm
COMPONENT Foil_flipper_magnet1 = Foil_flipper_magnet(xwidth=0.18, yheight=0.06, zdepth=0.3, phi=0.09599,
Bx=0, By=0.001, Bz=0, foil_in=1, verbose=1)
AT (0, 0, 2) RELATIVE arm
COMPONENT B_field_stop1=Pol_simpleBfield_stop(magnet_comp_stop=B_field1)
AT (0, 0, 3) RELATIVE arm
COMPONENT B_field2=Pol_simpleBfield(xwidth=0.5, yheight=0.05, zdepth=2, Bx=0, By=0.003, Bz=0)
AT (0, 0, 3.0001) RELATIVE arm
COMPONENT Foil_flipper_magnet2 = Foil_flipper_magnet(xwidth=0.18, yheight=0.06, zdepth=0.3, phi=0.09599,
Bx=0, By=0.003, Bz=0, foil_in=1, verbose=1)
AT (0, 0, 4.0) RELATIVE arm
COMPONENT B_field_stop2=Pol_simpleBfield_stop(magnet_comp_stop=B_field2)
AT (0, 0, 5.0001) RELATIVE arm
COMPONENT analyser = Analyser_ideal(mx=1, my=0, mz=0)
AT (0, 0, 5.0002) RELATIVE arm
COMPONENT PSD = PSD_monitor(nx=1, ny=2048, filename="PSD", xwidth=0.025, yheight=0.025)
AT (0, 0, 5.0003) RELATIVE arm
FINALLY
%{
%}
END
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/*******************************************************************************
*
* McStas, neutron ray-tracing package
* Copyright 1997-2002, All rights reserved
* Risoe National Laboratory, Roskilde, Denmark
* Institut Laue Langevin, Grenoble, France
*
* Component: my_component
*
* %IDENTIFICATION
* Written by: MYSELF
* Date: NOW
* Version: $Revision: 0.01 $
* Origin: Risoe
* Release: McStas 1.12b
* Modified by:
* %DESCRIPTION
* This is the description of this template component
*
* %PARAMETERS
* xwidth: width of the magnet [m]
* yheight: height of the magnet [m]
* zdepth: thickness of the magnet [m]
* Bxwidth: width of the B-field of thev component [m]
* Byheight: height of the B-field of the component [m]
* Bzdepth: thickness of the B-field of the component [m]
* phi: angle (from the xz-plane) of the foil-spinflipper inside the magnet [rd]
* Bx: [T] Parameter used for x component of field.
* By: [T] Parameter used for y component of field.
* Bz: [T] Parameter used for z component of field.
* fieldFunction [pointer] Function describing the magnetic field.
*
* %LINKS
*
* %END
****************************************************************************/
/*
This comment will not be exported to mcdoc
*/
DEFINE COMPONENT Foil_flipper_magnet
DEFINITION PARAMETERS(field_function=const_magnetic_field, stray_field_function=NULL)
SETTING PARAMETERS(xwidth, yheight, zdepth, Bxwidth=-1, Byheight=-1, Bzdepth=-1, phi=0.0, Bx,By,Bz,foil_in=1, correction_coil=1,verbose=1)
OUTPUT PARAMETERS(inside_magnet)
STATE PARAMETERS (x,y,z,vx,vy,vz,t,sx,sy,p)
POLARISATION PARAMETERS (sx,sy,sz)
SHARE
%{
/* Declare structures and functions only once in each instrument. */
#ifndef POL_LIB_H
%include "pol-lib"
#endif
void foil_spin_flip(double *sx, double *sy, double *sz, double lambda, double phi){
/*the spin flip is actually a precession around the field vector - in this case this vector is
* in the foil plane, perp. to X, i.e. Z rotated by phi.*/
//printf("pre_spin_flip=%g %g %g\n",*sx,*sy,*sz);
double ux,uy,uz,s;
//ux=0;uy=cos(phi);uz=-sin(phi);
ux=0;uy=sin(phi);uz=cos(phi);
/*Rodigues formula for roatating a vector around a unit vector.
* v_rot=v*cos(theta) + uxv * sin(theta) + (u dot v)u(1-cos(theta)
* theta=180 deg. => v_rot =-v + 2*(u dot v)u*/
s=scalar_prod(ux,uy,uz,*sx,*sy,*sz);
*sx=-*sx+2*s*ux;
*sy=-*sy+2*s*uy;
*sz=-*sz+2*s*uz;
//printf("post_spin_flip=%g %g %g\n",*sx,*sy,*sz);
}
void const_foil_flipper_field(double x, double y, double z, double t, double *bx, double *by, double *bz){
*bx=mcMagnetData[0];
*by=mcMagnetData[1];
*bz=mcMagnetData[2];
}
%}
DECLARE
%{
/*Declarations of variables used in the whole of the component*/
double foil_n[3];
Rotation spin_flip;
double inside_magnet[6];
int stray_fields;
int stored;
%}
INITIALIZE
%{
/*default is to have the foil horizontal*/
Rotation foil_rot;
Coords n,tmp;
/*default is to have the foil horizontal*/
n.x=0;n.y=1;n.z=0;
rot_set_rotation(foil_rot,phi,0,0);
tmp=rot_apply(foil_rot,n);
foil_n[0]=tmp.x;foil_n[1]=tmp.y; foil_n[2]=tmp.z;
/*setup spin-flip rotation. This is equivalent to mirroring in the foil plane.*/
printf("foil normal (%s) %g %g %g\n",NAME_CURRENT_COMP, foil_n[0],foil_n[1],foil_n[2]);
/*copy-paste from simpleBfield.comp*/
/*this should be a store_magnet type function in pol-lib i think*/
Coords localG = rot_apply(ROT_A_CURRENT_COMP, coords_set(0,-GRAVITY,0));
/*if desired compute the correction field along -Bz*/
if (correction_coil){
Bz=-By*tan(phi);
printf("Correction coil is in - B=(%g %g %g)\n",Bx,By,Bz);
}
inside_magnet[0]=Bx;
inside_magnet[1]=By;
inside_magnet[2]=Bz;
/*if the magnetic field dimensions are not given, we assume there are no stray fields.
I.e. the magnetic field does not extend beyond the magnet gap*/
if (Bxwidth!=-1 && Byheight!=-1 && Bzdepth!=-1){
stray_fields=1;
}
if (Bxwidth==-1) Bxwidth=xwidth;
if (Byheight==-1) Byheight=yheight;
if (Bzdepth==-1) Bzdepth=zdepth;
printf("xw,yh,zd=(%g %g %g), (Bxw,Byh,Bzd=(%g %g %g)\n",xwidth,yheight,zdepth,Bxwidth,Byheight,Bzdepth);
if (foil_in) printf("Foil is IN\n");
else printf("Foil is OUT\n");
%}
TRACE
%{
double t1,t2,t3,t4,dt;
double sp,v;
//mcmagnet_field_info *old_magnet,*outer_magnet;
double *dd;
int stored=0;
/*check if we hit component at all*/
if (plane_intersect(&t1,x,y,z,vx,vy,vz,0,0,1,0,0,-Bzdepth/2.0)==0){
if(verbose) fprintf(stderr,"missed the magnetic field plane of %s\n",NAME_CURRENT_COMP);
ABSORB;
}
v=sqrt(vx*vx + vy*vy + vz*vz);
if ( (box_intersect(&t1, &t2, x, y, z, vx, vy, vz, Bxwidth, Byheight, Bzdepth))==0){
/*propagate to the start of the component (which is -Bzdepth/2)*/
if(verbose) fprintf(stderr,"missed the magnetic field of %s, %g %g %g\n",NAME_CURRENT_COMP,t1,t2,v);
ABSORB;
}
if (t1<0){
if(verbose) fprintf(stderr,"warning: neutron is already inside component %s on entry. t1=%g t2=%g\n",NAME_CURRENT_COMP,t1,t2);
}else{
PROP_DT(t1);
t2=t2-t1;
}
if ( (box_intersect(&t3, &t4, x, y, z, vx, vy, vz,xwidth, yheight, zdepth))==0){
if(verbose) fprintf(stderr,"missed the magnet %s gap\n",NAME_CURRENT_COMP);
ABSORB;
}
/* t3 is the time for intersecting the first part of the area under the magnet - propagate to that*/
if (t3>1e-9){
PROP_DT(t3);
t4=t4-t3;
t2=t2-t3;
}
/*inject another field description for the magnetic field betweeen pole shoes.*/
//outer_magnet=(mcmagnet_field_info *)
if(stray_field_function) mcmagnet_pop();//this could be done with a stop bit in the magnet parameters
double *tmp_data;
Coords tmp_pos;
Rotation tmp_rot;
void (*tmp_field_func) (double, double, double, double, double*, double*, double*) = NULL;
if(mcMagnet){
stored=1;
tmp_data=mcMagnetData;
tmp_pos=mcMagnetPos;
rot_copy(tmp_rot,mcMagnetRot);
tmp_field_func=mcMagneticField;
}
mcMagnetData=inside_magnet;
mcMagnetPos=POS_A_CURRENT_COMP;
rot_copy(mcMagnetRot,ROT_A_CURRENT_COMP);
mcMagneticField=const_foil_flipper_field;
MAGNET_ON;
/*see if we hit the magnet walls before we exit*/
if (plane_intersect(&dt,x,y,z,vx,vy,vz,0,0,1,0,0,zdepth/2.0)==0){
fprintf(stderr,"missed the end plane of the magnet %s - this should not be\n",NAME_CURRENT_COMP);
exit(-1);
ABSORB;
}
if ( fabs(dt-t4)>FLT_EPSILON ) {
if(verbose) fprintf(stderr,"hit magnet from inside gap %s\n",NAME_CURRENT_COMP);
ABSORB;
}
/*neutron is inside magnet gap - propagate to the foil plane or leave the neutron if it does not hit the plane
while inside the gap*/
if (foil_in){
//printf("xyz= (%g %g %g), vxyz= (%g %g %g)\n",x,y,z,vx,vy,vz);
if (plane_intersect(&dt,x,y,z,vx,vy,vz,foil_n[0],foil_n[1],foil_n[2],0,0,0)==0 || dt<0 || dt>t4 ){
//fprintf(stderr,"missed the foil flipper plane of %s (dt=%g)\n",NAME_CURRENT_COMP,dt);
ABSORB;
dt=dt;
}
else{
PROP_DT(dt);
t4=t4-dt;
t2=t2-dt;
/* at the foil - so flip spin/polarization*/
foil_spin_flip(&sx,&sy,&sz,0.0,phi);
}
}
/*propagate to the other end of the magnet gap*/
PROP_DT(t4);
t2=t2-t4;
//dd=(double *) outer_magnet->data;
//*(dd+5)=zdepth/2.0;
if(stored){
stored=0;
mcMagnetData=tmp_data;
mcMagnetPos=tmp_pos;
rot_copy(mcMagnetRot,tmp_rot);
mcMagneticField=tmp_field_func;
}
else{
MAGNET_OFF;
}
if (t2>1e-9){
/*propagate to the end of the component*/
PROP_DT(t2);
}
%}
MCDISPLAY
%{
double y=atan(phi)*zdepth/2.0;
magnify("xy");
box(0.0,0.0,0.0,Bxwidth,Byheight,Bzdepth);
if (Bxwidth!=xwidth || Byheight!=yheight || Bzdepth!=zdepth){
box(0,0,0,xwidth,yheight,zdepth);
}
/*draw the foil plane*/
multiline(5,-xwidth/2.0,-y,-zdepth/2.0, xwidth/2.0,-y,-zdepth/2.0, xwidth/2.0,y,zdepth/2.0, -xwidth/2.0,y,zdepth/2.0, -xwidth/2.0,-y,-zdepth/2.0);
%}
END
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/*****************************************************************************
*
* McStas, neutron ray-tracing package
* Copyright 1997-2006, All rights reserved
* Risoe National Laboratory, Roskilde, Denmark
* Institut Laue Langevin, Grenoble, France
*
* Component: Set_pol
*
* %I
* Written by: Erik Knudsen
* Date: June 2010
* Version: $Revision: 1.2 $
* Origin: Risoe
* Release: McStas 2.0
*
* (Unphysical) ideal analyzer.
*
* %D
*
*
* Example: Analyser_ideal(mx=0, my=1, mz=0)
*
* %P
* INPUT PARAMETERS:
*
* mx: X-component of polarisation analysis vector (can be negative) (1)
* my: Y-component of polarisation analysis vector (can be negative) (1)
* mz: Z-component of polarisation analysis vector (can be negative) (1)
*
* OUTPUT PARAMETERS:
*
* %E
*******************************************************************************/
DEFINE COMPONENT Analyser_ideal
DEFINITION PARAMETERS ()
SETTING PARAMETERS (mx=0, my=0, mz=0)
STATE PARAMETERS (x,y,z,vx,vy,vz,t,sx,sy,p)
POLARISATION PARAMETERS (sx,sy,sz)
DECLARE
%{
%}
INITIALIZE
%{
if (mx==1 && my==1 && mz==1) {
printf("Analyser_ideal: %s: NULL vector defined!\n"
"ERROR (px, py, pz). Exiting",
NAME_CURRENT_COMP);
exit(1);
}
if ((mx*mx + my*my + mz*mz) > 1) {
printf("Set_pol: %s: Polarisation analysis vector (mx, my, mz) is unphysical!\n"
"ERROR mx*mx + my*my + mz*mz > 1. Exiting....",
NAME_CURRENT_COMP);
exit(1);
}
NORM(mx,my,mz);
%}
TRACE
%{
double prob_up;
/*the probablilty for having spin "up" along the quantization driection m*/
prob_up=(1+scalar_prod(sx,sy,sz,mx,my,mx))/2.0;
/*adjust weight accordingly (i.e. monte carlo choice with prob. 1)*/
p*=prob_up;
sx=mx;sy=my;sz=mz;
SCATTER;
%}
MCDISPLAY
%{
/* A bit ugly; hard-coded dimensions. */
magnify("xy");
line(0,0,0,0.2,0,0);
line(0,0,0,0,0.2,0);
line(0,0,0,0,0,0.2);
line(0,0,0,0.2*mx,0.2*my,0.2*mz);
/*draw the arrowhead*/
double cos2=cos(2*DEG2RAD);
double sin2=sin(2*DEG2RAD);
multiline(4,0.18*(mx*cos2+my*sin2),0.18*(-mx*sin2+my*cos2),0.18*mz,
0.18*(mx*cos2+mz*sin2),0.18*my,0.18*(-mx*sin2+mz*cos2),
0.18*mx,0.18*(my*cos2+mz*sin2),0.18*(-my*sin2+mz*cos2),
0.18*(mx*cos2+my*sin2),0.18*(-mx*sin2+my*cos2),0.18*mz);
line(0.2*mx,0.2*my,0.2*mz,0.18*(mx*cos2+my*sin2),0.18*(-mx*sin2+my*cos2),0.18*mx);
line(0.2*mx,0.2*my,0.2*mz,0.18*(mx*cos2+mz*sin2),0.18*my,0.18*(-mx*sin2+mz*cos2));
line(0.2*mx,0.2*my,0.2*mz,0.18*mx,0.18*(my*cos2+mz*sin2),0.18*(-my*sin2+mz*cos2));
%}
END
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# Format: McStas with text headers file. Use mcplot/PGPLOT to view.
# URL: http://www.mccode.org/
# Editor: mcstas on localhost
# Creator:SEMSANS (C:/mcstas-2.0/lib/examples/Modulations.instr) simulation (McStas 2.0 - Dec. 21, 2012)
# Date: Simulation started (1372756094) Tue Jul 02 11:08:14 2013
# File: PSD.sim
# Ncount: 1e+006
# Trace: no
# Gravitation: no
# Seed: 1372248170
# type: array_1d(2048)
# Source: C:/mcstas-2.0/lib/examples/Modulations.instr
# component: PSD
# position: 0 0 5.0003
# title: PSD monitor
# Ncount: 1e+006
# filename: PSD.sim
# format: McStas with text headers
# statistics: X0=-0.0107082; dX=0.676089;
# signal: Min=-1.12523e-013; Max=6.6366e-013; Mean=2.40606e-013;
# values: 4.92762e-010 6.90922e-013 1e+006
# xvar: Y
# yvar: (I,I_err)
# xlabel: Y position [cm]
# ylabel: I
# xlimits: -1.25 1.25
# variables: Y I I_err N
# Data [PSD_sim/PSD.sim] I:
-1.24938964844 0 0 0
-1.24816894531 0 0 0
-1.24694824219 0 0 0
-1.24572753906 0 0 0
-1.24450683594 0 0 0
-1.24328613281 0 0 0
-1.24206542969 0 0 0
-1.24084472656 0 0 0
-1.23962402344 0 0 0
-1.23840332031 0 0 0
-1.23718261719 0 0 0
-1.23596191406 0 0 0
-1.23474121094 0 0 0
-1.23352050781 0 0 0
-1.23229980469 0 0 0
-1.23107910156 0 0 0
-1.22985839844 0 0 0
-1.22863769531 0 0 0
-1.22741699219 0 0 0
-1.22619628906 0 0 0
-1.22497558594 0 0 0
-1.22375488281 0 0 0
-1.22253417969 0 0 0
-1.22131347656 0 0 0
-1.22009277344 0 0 0
-1.21887207031 0 0 0
-1.21765136719 0 0 0
-1.21643066406 0 0 0
-1.21520996094 0 0 0
-1.21398925781 0 0 0
-1.21276855469 0 0 0
-1.21154785156 3.16606805908e-015 8.80472342764e-016 15
-1.21032714844 3.27095505087e-015 8.63632883404e-016 17
-1.20910644531 5.2417865784e-015 1.06619306629e-015 33
-1.20788574219 5.92385743233e-015 1.02117248544e-015 55
-1.20666503906 7.28852541708e-015 1.14503895037e-015 65
-1.20544433594 5.77006991589e-015 9.35007055344e-016 81
-1.20422363281 3.80305054209e-015 7.9934197398e-016 88
-1.20300292969 1.16515783634e-015 6.65397093584e-016 82
-1.20178222656 -7.30046850979e-016 7.19675649636e-016 111
-1.20056152344 -2.94096001254e-015 7.34412508865e-016 110
-1.19934082031 -7.2699860717e-015 9.94775229932e-016 153
-1.19812011719 -9.88966031342e-015 1.11012563496e-015 153
-1.19689941406 -1.43197755609e-014 1.3389400138e-015 157
-1.19567871094 -1.82843972495e-014 1.53974962752e-015 171
-1.19445800781 -2.19550039628e-014 1.76189499539e-015 179
-1.19323730469 -2.53625391563e-014 1.93961881771e-015 188
-1.19201660156 -3.16376232809e-014 2.20229336251e-015 223
-1.19079589844 -3.88997280657e-014 2.54096344482e-015 247
-1.18957519531 -4.27104643615e-014 2.7093251537e-015 258
-1.18835449219 -4.41683093209e-014 2.81181821525e-015 253
-1.18713378906 -5.1907800113e-014 3.1000963522e-015 285
-1.18591308594 -4.29058673681e-014 2.8337136364e-015 232
-1.18469238281 -5.57239077484e-014 3.24762563547e-015 297
-1.18347167969 -5.444480722e-014 3.22213530981e-015 287
-1.18225097656 -6.14348697831e-014 3.40437160754e-015 327
-1.18103027344 -6.67252905694e-014 3.52824240138e-015 359
-1.17980957031 -6.31968082509e-014 3.40881155093e-015 345
-1.17858886719 -5.90164177511e-014 3.25283428375e-015 331
-1.17736816406 -6.33186823499e-014 3.29440087034e-015 373
-1.17614746094 -5.95515269014e-014 3.1288878972e-015 368
-1.17492675781 -5.76964336147e-014 3.00030440001e-015 378
-1.17370605469 -5.63926220325e-014 2.86653527141e-015 402
-1.17248535156 -5.01777275011e-014 2.6098241581e-015 390
-1.17126464844 -4.55397047269e-014 2.3620132256e-015 406
-1.17004394531 -4.14103805202e-014 2.1343855462e-015 444
-1.16882324219 -3.57762625416e-014 1.89749794534e-015 458
-1.16760253906 -2.75342807059e-014 1.59662327109e-015 450
-1.16638183594 -1.72816061651e-014 1.30506132876e-015 467
-1.16516113281 -9.54805288773e-015 1.26599510994e-015 503
-1.16394042969 3.79152387509e-015 1.24598250479e-015 502
-1.16271972656 1.3082624428e-014 1.43523028818e-015 515
-1.16149902344 2.71656711097e-014 1.7903936918e-015 519
-1.16027832031 4.17701832653e-014 2.33945596868e-015 511
-1.15905761719 6.04916026308e-014 3.06462209052e-015 514
-1.15783691406 6.52756570747e-014 3.31218125114e-015 493
-1.15661621094 8.70984593903e-014 4.17341988521e-015 510
-1.15539550781 9.86714987799e-014 4.64643939965e-015 512
-1.15417480469 1.12489667915e-013 5.36339188374e-015 483
-1.15295410156 1.35605621453e-013 6.17328649442e-015 522
-1.15173339844 1.50330959494e-013 6.8294348089e-015 519
-1.15051269531 1.69593118024e-013 7.60208075574e-015 526
-1.14929199219 1.94465420474e-013 8.5073579515e-015 548
-1.14807128906 2.0598839598e-013 9.12988838556e-015 532
-1.14685058594 2.16774868595e-013 9.77001239546e-015 510
-1.14562988281 2.22643524386e-013 1.02272894225e-014 489
-1.14440917969 2.6774614725e-013 1.15645131468e-014 551
-1.14318847656 2.67134989449e-013 1.19986808283e-014 508
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