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example1.c
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example1.c
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// calculation example using a datafile outputed by 'mie_ms_solver'.
// verification of radiation force, radiation torque and absorbed energy.
#include <stdio.h>
#include <math.h>
#include "emf_mie_ms.h"
#include "my_utils.h"
#include "osu_mksa.h"
#include "gauleg.h"
// radiation force and torque calculated by surface integral of maxwell stress tensor
int force_torque_integral(int i,double *vf,double *vn,MSPD *msp);
// absorbed energy calculated by surface integral of poynting vector.
int absorb_energy_poynting(int i,double *P,MSPD *msp);
// absorbed energy calculated by volume integral of loss by Joulian heat.
int absorb_energy_joulian(int i,double *P,MSPD *msp);
int main(int argc,char *argv[])
{
MSPD msp;
double complex e[3],h[3],cet,fv;
double vf[3],vn[3],r[3],t,p;
int i;
read_dat_ms(argv[1],&msp); // read data file
print_data_ms(&msp); // print data
print_data_ms_mksa(&msp); // print data in MKSA system of units
r[0]= 0.0; // set x-coordinate
r[1]= 0.0; // set y-coordinate
r[2]=-1.5; // set z-coordinate
total_EH_ms(e,h,r,&msp); // calclation of total field ( add incident field to scattered field )
printf("Electromagnetic field at r=( % g,% g,% g )\n",r[0],r[1],r[2]);
fv=OSUtoMKSA_ElectricField(e[0]);
printf("Ex = % 15.14e %+15.14e I (=% 15.14e %+15.14e I [V/m](MKSA))\n",creal(e[0]),cimag(e[0]),creal(fv),cimag(fv));
fv=OSUtoMKSA_ElectricField(e[1]);
printf("Ey = % 15.14e %+15.14e I (=% 15.14e %+15.14e I [V/m](MKSA))\n",creal(e[1]),cimag(e[1]),creal(fv),cimag(fv));
fv=OSUtoMKSA_ElectricField(e[2]);
printf("Ez = % 15.14e %+15.14e I (=% 15.14e %+15.14e I [V/m](MKSA))\n",creal(e[2]),cimag(e[2]),creal(fv),cimag(fv));
fv=OSUtoMKSA_MagneticField(h[0]);
printf("Hx = % 15.14e %+15.14e I (=% 15.14e %+15.14e I [A/m](MKSA))\n",creal(h[0]),cimag(h[0]),creal(fv),cimag(fv));
fv=OSUtoMKSA_MagneticField(h[1]);
printf("Hy = % 15.14e %+15.14e I (=% 15.14e %+15.14e I [A/m](MKSA))\n",creal(h[1]),cimag(h[1]),creal(fv),cimag(fv));
fv=OSUtoMKSA_MagneticField(h[2]);
printf("Hz = % 15.14e %+15.14e I (=% 15.14e %+15.14e I [A/m](MKSA))\n",creal(h[2]),cimag(h[2]),creal(fv),cimag(fv));
t=1.0e-3; // set time
cet=cexp(-I*msp.bm.omega*t);
printf("Real electromagnetic field at t=%g\n",t);
fv=OSUtoMKSA_ElectricField(e[0]*cet);
printf("Ex = % 15.14e (=% 15.14e [V/m](MKSA))\n",creal(e[0]*cet),creal(fv));
fv=OSUtoMKSA_ElectricField(e[1]*cet);
printf("Ey = % 15.14e (=% 15.14e [V/m](MKSA))\n",creal(e[1]*cet),creal(fv));
fv=OSUtoMKSA_ElectricField(e[2]*cet);
printf("Ez = % 15.14e (=% 15.14e [V/m](MKSA))\n",creal(e[2]*cet),creal(fv));
fv=OSUtoMKSA_MagneticField(h[0]*cet);
printf("Hx = % 15.14e (=% 15.14e [A/m](MKSA))\n",creal(h[0]*cet),creal(fv));
fv=OSUtoMKSA_MagneticField(h[1]*cet);
printf("Hy = % 15.14e (=% 15.14e [A/m](MKSA))\n",creal(h[1]*cet),creal(fv));
fv=OSUtoMKSA_MagneticField(h[2]*cet);
printf("Hz = % 15.14e (=% 15.14e [A/m](MSKA))\n",creal(h[2]*cet),creal(fv));
printf("\n");
printf("Radiation force and torque\n");
for(i=0;i<msp.n_sphr;i++){
force_torque_ms(i,vf,vn,&msp);
printf("Mie coefficients\n");
printf("sphere id %2d, F=( % 15.14g,% 15.14g,% 15.14g )\n",i,vf[0],vf[1],vf[2]);
printf(" %2d, N=( % 15.14g,% 15.14g,% 15.14g )\n",i,vn[0],vn[1],vn[2]);
printf(" %2d, F=( % 15.14g,% 15.14g,% 15.14g ) [ N ](MKSA)\n",i,OSUtoMKSA_Force(vf[0]),OSUtoMKSA_Force(vf[1]),OSUtoMKSA_Force(vf[2]));
printf(" %2d, N=( % 15.14g,% 15.14g,% 15.14g ) [N m](MKSA)\n",i,OSUtoMKSA_Torque(vn[0]),OSUtoMKSA_Torque(vn[1]),OSUtoMKSA_Torque(vn[2]));
if(force_torque_integral(i,vf,vn,&msp)){ // for verification
printf("Surface integral of maxwell stress tensor (verification)\n");
printf("sphere id %2d, F=( % 15.14g,% 15.14g,% 15.14g )\n",i,vf[0],vf[1],vf[2]);
printf(" %2d, N=( % 15.14g,% 15.14g,% 15.14g )\n",i,vn[0],vn[1],vn[2]);
printf(" %2d, F=( % 15.14g,% 15.14g,% 15.14g ) [ N ](MKSA)\n",i,OSUtoMKSA_Force(vf[0]),OSUtoMKSA_Force(vf[1]),OSUtoMKSA_Force(vf[2]));
printf(" %2d, N=( % 15.14g,% 15.14g,% 15.14g ) [N m](MKSA)\n",i,OSUtoMKSA_Torque(vn[0]),OSUtoMKSA_Torque(vn[1]),OSUtoMKSA_Torque(vn[2]));
}
}
printf("\nAbsorbed energy\n");
for(i=0;i<msp.n_sphr;i++){
absorbed_energy_ms(i,&p,&msp);
printf("Mie coefficients\n");
printf("sphere id %2d, P=% 15.14g\n",i,p);
printf(" %2d, P=% 15.14g [W]\n",i,OSUtoMKSA_power(p));
if(absorb_energy_poynting(i,&p,&msp)){ // for verification
printf("Surface integral of Poynting vector (verification)\n");
printf("sphere id %2d, P=% 15.14g\n",i,p);
printf(" %2d, P=% 15.14g [W]\n",i,OSUtoMKSA_power(p));
}
if(absorb_energy_joulian(i,&p,&msp)){ // for verification
printf("Volume integral of loss by Joulian heat (verification)\n");
printf("sphere id %2d, P=% 15.14g\n",i,p);
printf(" %2d, P=% 15.14g [W]\n",i,OSUtoMKSA_power(p));
}
}
free_ms(&msp); // free allocated memory
return 0;
}
int force_torque_integral(int id,double *vf,double *vn,MSPD *msp)
{
const int nc=80;
double xt[nc],wt[nc],xp[2*nc],wp[2*nc];
double complex e[3],h[3];
double rc,r[3],Tx[3],Ty[3],Tz[3],sin_t,cos_t,sin_p,cos_p,eps,mu,aex2,aey2,aez2,ahx2,ahy2,ahz2,ne2,nh2;
double tfx,tfy,tfz,tnx,tny,tnz;
int i,j;
vf[0]=0.0; vf[1]=0.0; vf[2]=0.0;
vn[0]=0.0; vn[1]=0.0; vn[2]=0.0;
if(msp->n_sphr!=1){
//printf("this code can analize single sphere only. Return...\n");
return 0;
}
eps=msp->bm.n_0*msp->bm.n_0;
mu=1.0;
gauleg(0.0,M_PI,xt,wt,nc);
gauleg(0.0,2.0*M_PI,xp,wp,nc*2);
rc=msp->sp[id].a*2.0;
for(i=0;i<2*nc;i++){ // phi 0 to 2pi
sin_p=sin(xp[i]); cos_p=cos(xp[i]);
tfx=0.0; tfy=0.0; tfz=0.0;
tnx=0.0; tny=0.0; tnz=0.0;
for(j=0;j<nc;j++){ // theta 0 to pi
sin_t=sin(xt[j]); cos_t=cos(xt[j]);
r[0]=rc*sin_t*cos_p+msp->sp[id].xs;
r[1]=rc*sin_t*sin_p+msp->sp[id].ys;
r[2]=rc*cos_t +msp->sp[id].zs;
total_EH_ms(e,h,r,msp);
aex2=creal(e[0]*conj(e[0])); aey2=creal(e[1]*conj(e[1])); aez2=creal(e[2]*conj(e[2]));
ahx2=creal(h[0]*conj(h[0])); ahy2=creal(h[1]*conj(h[1])); ahz2=creal(h[2]*conj(h[2]));
ne2=aex2+aey2+aez2; nh2=ahx2+ahy2+ahz2;
// maxwell stress tensor
Tx[0]=0.5*(eps*aex2+mu*ahx2)-0.25*(eps*ne2+mu*nh2);
Tx[1]=0.5*(eps*creal(e[0]*conj(e[1]))+mu*creal(h[0]*conj(h[1])));
Tx[2]=0.5*(eps*creal(e[0]*conj(e[2]))+mu*creal(h[0]*conj(h[2])));
Ty[0]=0.5*(eps*creal(e[1]*conj(e[0]))+mu*creal(h[1]*conj(h[0])));
Ty[1]=0.5*(eps*aey2+mu*ahy2)-0.25*(eps*ne2+mu*nh2);
Ty[2]=0.5*(eps*creal(e[1]*conj(e[2]))+mu*creal(h[1]*conj(h[2])));
Tz[0]=0.5*(eps*creal(e[2]*conj(e[0]))+mu*creal(h[2]*conj(h[0])));
Tz[1]=0.5*(eps*creal(e[2]*conj(e[1]))+mu*creal(h[2]*conj(h[1])));
Tz[2]=0.5*(eps*aez2+mu*ahz2)-0.25*(eps*ne2+mu*nh2);
tfx+=(Tx[0]*sin_t*cos_p+Tx[1]*sin_t*sin_p+Tx[2]*cos_t)*rc*rc*sin_t*wt[j];
tfy+=(Ty[0]*sin_t*cos_p+Ty[1]*sin_t*sin_p+Ty[2]*cos_t)*rc*rc*sin_t*wt[j];
tfz+=(Tz[0]*sin_t*cos_p+Tz[1]*sin_t*sin_p+Tz[2]*cos_t)*rc*rc*sin_t*wt[j];
tnx+=( (Tz[0]*sin_t*cos_p+Tz[1]*sin_t*sin_p+Tz[2]*cos_t)*sin_t*sin_p
-(Ty[0]*sin_t*cos_p+Ty[1]*sin_t*sin_p+Ty[2]*cos_t)*cos_t)*rc*rc*rc*sin_t*wt[j];
tny+=( (Tx[0]*sin_t*cos_p+Tx[1]*sin_t*sin_p+Tx[2]*cos_t)*cos_t
-(Tz[0]*sin_t*cos_p+Tz[1]*sin_t*sin_p+Tz[2]*cos_t)*sin_t*cos_p)*rc*rc*rc*sin_t*wt[j];
tnz+=( (Ty[0]*sin_t*cos_p+Ty[1]*sin_t*sin_p+Ty[2]*cos_t)*sin_t*cos_p
-(Tx[0]*sin_t*cos_p+Tx[1]*sin_t*sin_p+Tx[2]*cos_t)*sin_t*sin_p)*rc*rc*rc*sin_t*wt[j];
}
vf[0]+=tfx*wp[i];
vf[1]+=tfy*wp[i];
vf[2]+=tfz*wp[i];
vn[0]+=tnx*wp[i];
vn[1]+=tny*wp[i];
vn[2]+=tnz*wp[i];
}
return 1;
}
int absorb_energy_poynting(int id,double *P,MSPD *msp)
{
const int nc=80;
double xt[nc],wt[nc],xp[2*nc],wp[2*nc];
double complex e[3],h[3];
double rc,r[3],n[3],vp[3],sin_t,cos_t,sin_p,cos_p;
double tp;
int i,j;
*P=0.0;
if(msp->n_sphr!=1){
//printf("this code can analize single sphere only. Return...\n");
return 0;
}
gauleg(0.0,M_PI,xt,wt,nc);
gauleg(0.0,2.0*M_PI,xp,wp,nc*2);
rc=msp->sp[id].a*2.0;
for(i=0;i<2*nc;i++){ // phi 0 to 2pi
sin_p=sin(xp[i]); cos_p=cos(xp[i]);
tp=0.0;
for(j=0;j<nc;j++){ // theta 0 to pi
sin_t=sin(xt[j]); cos_t=cos(xt[j]);
n[0]=sin_t*cos_p;
n[1]=sin_t*sin_p;
n[2]=cos_t;
r[0]=rc*n[0]+msp->sp[id].xs;
r[1]=rc*n[1]+msp->sp[id].ys;
r[2]=rc*n[2]+msp->sp[id].zs;
total_EH_ms(e,h,r,msp);
// poynting vector
vp[0]=creal(e[1]*conj(h[2])-e[2]*conj(h[1]));
vp[1]=creal(e[2]*conj(h[0])-e[0]*conj(h[2]));
vp[2]=creal(e[0]*conj(h[1])-e[1]*conj(h[0]));
tp+=(n[0]*vp[0]+n[1]*vp[1]+n[2]*vp[2])*rc*rc*sin_t*wt[j];
}
*P+=tp*wp[i];
}
*P*=-0.5;
return 1;
}
int absorb_energy_joulian(int id,double *P,MSPD *msp)
{
const int nc=60;
double xt[nc],wt[nc],xp[2*nc],wp[2*nc],xa[nc],wa[nc];
double complex e[3],h[3];
double r[3],n[3],sin_t,cos_t,sin_p,cos_p;
double tp,tpa;
int i,j,k;
*P=0.0;
gauleg(0.0,M_PI,xt,wt,nc);
gauleg(0.0,2.0*M_PI,xp,wp,nc*2);
gauleg(0.0,msp->sp[id].a,xa,wa,nc);
for(k=0;k<nc;k++){
tpa=0.0;
#pragma omp parallel for schedule(dynamic) private(sin_p,cos_p,tp,j,sin_t,cos_t,n,r,e,h) reduction(+:tpa)
for(i=0;i<2*nc;i++){ // phi 0 to 2pi
sin_p=sin(xp[i]); cos_p=cos(xp[i]);
tp=0.0;
for(j=0;j<nc;j++){ // theta 0 to pi
sin_t=sin(xt[j]); cos_t=cos(xt[j]);
n[0]=sin_t*cos_p;
n[1]=sin_t*sin_p;
n[2]=cos_t;
r[0]=xa[k]*n[0]+msp->sp[id].xs;
r[1]=xa[k]*n[1]+msp->sp[id].ys;
r[2]=xa[k]*n[2]+msp->sp[id].zs;
total_EH_ms(e,h,r,msp);
// |E|^2
tp+=creal(e[0]*conj(e[0])+e[1]*conj(e[1])+e[2]*conj(e[2]))*xa[k]*xa[k]*sin_t*wt[j];
}
tpa+=tp*wp[i];
}
*P+=tpa*wa[k];
}
*P*=msp->bm.omega*creal(msp->sp[id].ns)*cimag(msp->sp[id].ns); // P = P * 1/2 * conductivity
return 1;
}