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/*******************************************************************************
*
* McXtrace, x-ray tracing package
* Copyright, All rights reserved
* DTU Physics, Kgs. Lyngby, Denmark
* Synchrotron SOLEIL, Saint-Aubin, France
*
* Component: Lens_simple
*
* %Identification
* Written by: Erik Knudsen
* Date: June 16, 2009
* Origin: Risoe
*
* Simple refractive x-ray lens
*
* %Description
* Models a stack of N refractive lenses, with a radius of curvature, r, at the apex.
* The model is a thin-lens approximation where photons are refracted in a the XY plane
* at Z=0. Absorption is generally disregarded may be handled through the use of the optional
* transmission parameter T, where 0<=T<=1.
* Thus, the lens has the focal length of f=R/(2*N*&delta) where the x-ray refractive
* index is written: n = 1 - &delta + i &beta.
*
* Example: Lens_simple(xwidth=1e-5, yheight=1e-5, material_datafile="Be.txt",N=100,r=0.3e-3)
*
* %Parameters
* INPUT PARAMETERS
*
* xwidth: [m] Width of lens aperture.
* yheight: [m] Height of lens aperture.
* radius: [m] Radius of lens aperture (overrides xwidth & yheight).
* f: [m] Focal length - overrides the material_datafile - and diregards chromatic aberration.
* material_datafile: [ ] File where the material parameters for the lens may be found. Format is similar to what may be found off the NIST website.
* N: [1] The number of successive lenses in the stack.
* r: [m] The radius of curvature of the lens.
* Optional parameters:
* T: [0-1] Transmission efficiency of the lens.
* verbose: [0/1] Extra information for debugging.
*
* %Link
* material datafile obtained from http://physics.nist.gov/cgi-bin/ffast/ffast.pl
*
* %End
*******************************************************************************/
DEFINE COMPONENT Lens_simple
SETTING PARAMETERS (xwidth=0,yheight=0,radius=1e-3, T=1 ,r=3e-4, int N=1, int verbose=0, f=0, string material_datafile="Be.txt")
/* X-ray parameters: (x,y,z,kx,ky,kz,phi,t,Ex,Ey,Ez,p) */
SHARE
%{
%include "read_table-lib"
%}
DECLARE
%{
int Z;
double Ar;
double rho;
t_Table matT;
%}
INITIALIZE
%{
int status=0;
if(!radius && !(xwidth && yheight) ){
fprintf(stderr,"%s: Lens has zero effective area\n",NAME_CURRENT_COMP);
exit(-1);
}
if(r<=0){
fprintf(stderr,"Error (%s): No meaningful radius of curvature found r=%g.\n",NAME_CURRENT_COMP,r);
exit(-1);
}
if (!f && material_datafile && strlen(material_datafile)){
if ( (status=Table_Read(&(matT),material_datafile,0))==-1){
fprintf(stderr,"Error: Could not parse file \"%s\" in COMP %s\n",material_datafile,NAME_CURRENT_COMP);
exit(-1);
}
char **header_parsed;
header_parsed=Table_ParseHeader(matT.header,"Z","A[r]","rho");
if (!Ar) Ar=strtod(header_parsed[1],NULL);
if (!Z) Z=strtol(header_parsed[0],NULL,10);
if (!rho) rho=strtod(header_parsed[2],NULL);
}
if (T==0){
fprintf(stderr,"Warning (%s): Transmission is set to 0 and no material set. All X-rays will be absorbed by lens\n.",NAME_CURRENT_COMP);
}
%}
TRACE
%{
double sx,sy,sz,s;
double s2x,s2y,s2z,s2;
double F,k,e,theta,alpha,delta;
double f1,rhoel;
PROP_Z0;
if (radius && x*x+y*y<radius*radius){
SCATTER;
}else if (xwidth && (x >-xwidth*0.5 && x<xwidth*0.5 && y>-yheight*0.5 && y<yheight*0.5)){
SCATTER;
}else{
ABSORB;
}
/*change direction towards focal point*/
if(!f){
/*Focal length given by lambda and delta*/
k=sqrt(scalar_prod(kx,ky,kz,kx,ky,kz));
e=K2E*k;
f1=Table_Value(matT,e,1);
/*Calculation of Refractive Index */
rhoel= f1*NA*(rho*1e-24)/Ar; /*Material's Number Density of Electrons [e/A^3] incl f' scattering length correction*/
delta= 2.0*M_PI*RE*rhoel/(k*k);
F=r/2/delta/N;
}else{
/*focal length is a scalar*/
F=f;
}
/*Only focusing in the y-direction for now.*/
/*auxiliary vector s*/
sx=0;sy=-y;sz=F;
s=sqrt(scalar_prod(sx,sy,sz,sx,sy,sz));
theta=acos(scalar_prod(sx,sy,sz,0,0,1)/s);
if (y<0)theta=-theta; /*if y is negative rotation should be ccw*/
/*apply the rotation around the x-axis to focus in y*/
Rotation R;
R[0][0]=1; R[0][1]=0;R[0][2]=0;
R[1][0]=0; R[1][1]=cos(theta); R[1][2]=-sin(theta);
R[2][0]=0; R[2][1]=sin(theta); R[2][2]=cos(theta);
/*reuse the vector s as temp storage*/
sx=kx;
sy=ky*R[1][1]+kz*R[1][2];
sz=ky*R[2][1]+kz*R[2][2];
/*rotate around a vector parallel to x.*/
rotate(s2x,s2y,s2z, kx,ky,kz, theta, 1, 0, 0);
kx=s2x;ky=s2y;kz=s2z;
/*set the phase shift*/
phi+=k*1e10*((x*x+y*y)/2*F); /*k in AA⁻1 but x,y and f are in m. conversion factor.*/
p *= T;
%}
FINALLY
%{
Table_Free(&(matT));
%}
MCDISPLAY
%{
double delta;
int NN=8;
int i;
rectangle("xy",0,0,0,xwidth,yheight);
if (yheight<xwidth){
delta=yheight/NN;
} else {
delta=xwidth/NN;
}
for (i=1;i<=NN;i++){
circle("xy",0,0,0,sqrt(delta*i));
}
%}
END
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