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radiation.cpp
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radiation.cpp
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//----------------------------------------------------------------------------------||
//------------------- radiation.cpp -------------------||
//----------------------------------------------------------------------------------||
// ____ ___ ____ ____ ||
// / ___|_ _| _ \ / ___| ||
// \___ \| || |_) | | ||
// ___) | || _ <| |___ ||
// |____/___|_| \_\\____| ||
// ||
//----------------------------------------------------------------------------------||
//-- (S)imple (I)ncoherent (R)adiation (C)alculation -||
//----------------------------------------------------------------------------------||
//---Author----------- : Tianhong Wang --------------------||
//---Starting--------- : Feb-16-2022 --------------------||
//---Email------------ : tw474@cornell.edu --------------------||
//---Group------------ : Dr. Gennady Shvets' Group --------------------||
//---Copyright-------- : (C) 2022 by Tianhong Wang --------------------||
//----------------------------------------------------------------------------------||
//----------------------------------------------------------------------------------||
#include "SIRC.h"
#include "Faddeeva.h"
dcom ComputeA(double f1, double f2, double f3, double g1, double g2, double g3, double omega, int order);
void Domain::OnCalculate()
{
Log("Domain::OnCalculate--------------------");
tic = chrono::system_clock::now();
//particle loop
for(auto it = Particles.begin(); it!=Particles.end(); it++)
{
Particle* p = *it;
//start and end point;
if(IncludePartI&&MaxStep>p->start)
{
MyDetector->OnDeposit(p, Node::Start);
MyDetector->OnDeposit(p, Node::End );
}
//time loop
for(step=0; step<MaxStep;step++)
{
this->Tick();
//trajectory may have different starting time and length
// so checck if the trajectory is in frame;
if(p->IsInFrame(step)) MyDetector->OnDeposit(p);
}
MyDetector->OnGatherA();
}
}
// start/end point deposit
void Detector::OnDeposit(Particle* p, Node which)
{
for(auto it = Pixels.begin(); it!=Pixels.end(); it++)
(*it)->OnDeposit(p,which);
}
//general integration
void Detector::OnDeposit(Particle* p)
{
for(auto it = Pixels.begin(); it!=Pixels.end(); it++)
(*it)->OnDeposit(p);
}
// start/end point deposit
void Pixel::OnDeposit(Particle* p, Node which)
{
ULONG MaxStep = p_domain()->GetMaxStep();
//get start and end step
int step = which==Node::Start? 0: min(p->NStep-1,MaxStep-p->start)-1;
double t= p_domain()->GetDt()*(step+0.5+p->start);
Vec3 vc = (p->Velocity[step]+p->Velocity[step+1])/2.0;
Vec3 rc = (p->Position[step]+p->Position[step+1])/2.0;
Vec3 fc = (n.Cross(n.Cross(vc)));
double gc = t-(n.Dot(rc));
double bc = 1-vc.Dot(n);
dcom tmp = exp(Constant::i*omega*gc)/bc;
CVec3 A(fc.x*tmp, fc.y*tmp, fc.z*tmp);
if(which==Node::Start)
{
//overwrite to start a new particle
this->Ax[p->t_bin] = -A.x;
this->Ay[p->t_bin] = -A.y;
this->Az[p->t_bin] = -A.z;
}
else
{
// //end point
this->Ax[p->t_bin] += A.x;
this->Ay[p->t_bin] += A.y;
this->Az[p->t_bin] += A.z;
}
}
//general integration
void Pixel::OnDeposit(Particle* p)
{
int R = p_domain()->GetRefine();
if(R>1) return OnDeposit(p,R);
//-----------------integrate---------------
double t = p_domain()->GetTime();
double dt = p_domain()->GetDt();
int order = p_domain()->GetIntegrateOrder();
dcom k = dt*0.5*sqrt(p->weight); // sqrt(weight)*dt/2
// caclulate angle nn;
//[1] calculate: f = -nxnx\beta;
Vec3 vm = p->Velocity[p->Current_Step-1];
Vec3 vc = p->Velocity[p->Current_Step ];
Vec3 vp = p->Velocity[p->Current_Step+1];
Vec3 fm = -(n.Cross(n.Cross(vm)));
Vec3 fc = -(n.Cross(n.Cross(vc)));
Vec3 fp = -(n.Cross(n.Cross(vp)));
//[2] calculate: g = t-n*r;
Vec3 rm = p->Position[p->Current_Step-1];
Vec3 rc = p->Position[p->Current_Step ];
Vec3 rp = p->Position[p->Current_Step+1];
double gm = - (n.Dot(rm)) + t-dt;
double gc = - (n.Dot(rc)) + t;
double gp = - (n.Dot(rp)) + t+dt;
//[3] calculate f1 f2 f3; g1, g2, g3
Vec3 f1 = fc;
Vec3 f2 = (fp-fm)/4.0;
Vec3 f3 = (fp-fc*2.0+fm)/8.0;
double g1 = gc;
double g2 = (gp-gm)/4.0;
double g3 = (gp-gc*2.0+gm)/8.0;
//[4] calculate A
dcom Ax = ComputeA(f1.x, f2.x, f3.x, g1, g2, g3, omega, order);
dcom Ay = ComputeA(f1.y, f2.y, f3.y, g1, g2, g3, omega, order);
dcom Az = ComputeA(f1.z, f2.z, f3.z, g1, g2, g3, omega, order);
this->Ax[p->t_bin] += k*exp(Constant::i*g1*omega)*Ax;
this->Ay[p->t_bin] += k*exp(Constant::i*g1*omega)*Ay;
this->Az[p->t_bin] += k*exp(Constant::i*g1*omega)*Az;
}
//general integration with cubic interp
void Pixel::OnDeposit(Particle* p, int R)
{
double t = p_domain()->GetTime();
double dt = p_domain()->GetDt();
int order = p_domain()->GetIntegrateOrder();
dcom k = dt*0.5*sqrt(p->weight)/(R*1.0); // sqrt(weight)*dt/2
//
Vec3 vmm, vpp, rmm, rpp, f1, f2, f3;
double g1, g2, g3;
//[1] calculate: f = -nxnx\beta;
Vec3 vm = p->Velocity[p->Current_Step-1];
Vec3 vc = p->Velocity[p->Current_Step ];
Vec3 vp = p->Velocity[p->Current_Step+1];
//[2] calculate: g = t-n*r;
Vec3 rm = p->Position[p->Current_Step-1];
Vec3 rc = p->Position[p->Current_Step ];
Vec3 rp = p->Position[p->Current_Step+1];
if(p->Current_Step==1)
{
vmm = vm*2-vc; rmm = rm*2-rc;
}
else
{
vmm = p->Velocity[p->Current_Step-2]; rmm = p->Position[p->Current_Step-2];
}
if(p->Current_Step==p->NStep-2)
{
vpp = vp*2-vc; rpp = rp*2-rc;
}
else
{
vpp = p->Velocity[p->Current_Step+2]; rpp = p->Position[p->Current_Step+2];
}
Vec3 fmm = -(n.Cross(n.Cross(vmm)));
Vec3 fm = -(n.Cross(n.Cross(vm)));
Vec3 fc = -(n.Cross(n.Cross(vc)));
Vec3 fp = -(n.Cross(n.Cross(vp)));
Vec3 fpp = -(n.Cross(n.Cross(vpp)));
double gmm = - (n.Dot(rmm))+ t-dt*2;
double gm = - (n.Dot(rm)) + t-dt;
double gc = - (n.Dot(rc)) + t;
double gp = - (n.Dot(rp)) + t+dt;
double gpp = - (n.Dot(rpp))+ t+dt*2;
//==============first half
double ag = (gc-gmm)/2.0-(gc-gm);
double bg = (gm- gp)/2.0+(gc-gm);
Vec3 af = (fc-fmm)/2.0-(fc-fm);
Vec3 bf = (fm- fp)/2.0+(fc-fm);
//cubic interp
for(int sub=0;sub<R/2;sub++)
{
double t = 0.5+(2*sub+1)/2.0/R;
g1 = gm*(1-t)+gc*t+( ag*(1-t)+bg*t )*t*(1-t);
g2 = (gc-gm+bg*(2-3*t)*t)*R*R+(ag-bg+ag*R*R*(t-1)*(3*t-1)); g2/=2*R*R*R;
g3 = bg*(1-3*t)+ag*(3*t-2); g3/=4*R*R;
f1 = fm*(1-t)+fc*t+( af*(1-t)+bf*t )*t*(1-t);
f2 = (fc-fm+bf*(2-3*t)*t)*R*R+(af-bf+af*R*R*(t-1)*(3*t-1)); f2/=2*R*R*R;
f3 = bf*(1-3*t)+af*(3*t-2); f3/=4*R*R;
//[4] calculate A
dcom Ax = ComputeA(f1.x, f2.x, f3.x, g1, g2, g3, omega, order);
dcom Ay = ComputeA(f1.y, f2.y, f3.y, g1, g2, g3, omega, order);
dcom Az = ComputeA(f1.z, f2.z, f3.z, g1, g2, g3, omega, order);
this->Ax[p->t_bin] += k*exp(Constant::i*g1*omega)*Ax;
this->Ay[p->t_bin] += k*exp(Constant::i*g1*omega)*Ay;
this->Az[p->t_bin] += k*exp(Constant::i*g1*omega)*Az;
}
//===============second half
ag = (gp- gm)/2.0-(gp-gc);
bg = (gc-gpp)/2.0+(gp-gc);
af = (fp- fm)/2.0-(fp-fc);
bf = (fc-fpp)/2.0+(fp-fc);
for(int sub=0;sub<R/2;sub++)
{
double t = (2*sub+1)/2.0/R;
g1 = gc*(1-t)+gp*t+( ag*(1-t)+bg*t )*t*(1-t);
g2 = (gp-gc+bg*(2-3*t)*t)*R*R+(ag-bg+ag*R*R*(t-1)*(3*t-1)); g2/=2*R*R*R;
g3 = bg*(1-3*t)+ag*(3*t-2); g3/=4*R*R;
f1 = fc*(1-t)+fp*t+( af*(1-t)+bf*t )*t*(1-t);
f2 = (fp-fc+bf*(2-3*t)*t)*R*R+(af-bf+af*R*R*(t-1)*(3*t-1)); f2/=2*R*R*R;
f3 = bf*(1-3*t)+af*(3*t-2); f3/=4*R*R;
//[4] calculate A
dcom Ax = ComputeA(f1.x, f2.x, f3.x, g1, g2, g3, omega, order);
dcom Ay = ComputeA(f1.y, f2.y, f3.y, g1, g2, g3, omega, order);
dcom Az = ComputeA(f1.z, f2.z, f3.z, g1, g2, g3, omega, order);
this->Ax[p->t_bin] += k*exp(Constant::i*g1*omega)*Ax;
this->Ay[p->t_bin] += k*exp(Constant::i*g1*omega)*Ay;
this->Az[p->t_bin] += k*exp(Constant::i*g1*omega)*Az;
}
}
dcom ComputeA(double f1, double f2, double f3, double g1, double g2, double g3, double omega, int order)
{
dcom A;
dcom I = Constant::i;
dcom One(1.0,0.0); //careful for the sqrt
double PI = Constant::PI;
double g2w = g2*omega;
if(abs(g3)==0 || order==1)
{
if(abs(g2)==0) //g2=0 g3=0
{
dcom tmp = (2.0*I)*omega;
A = tmp*(f1+f3/3.0);
}
else
{
dcom tmp = 2.0/(g2*g2w*g2w);
A = g2w*(2.0*I*f3+f2*g2w)*cos(g2w)+I*(-2.0*f3+I*f2*g2w+(f1+f3)*g2w*g2w)*sin(g2w);
A = A*tmp;
}
}
else //2nd order
{
dcom tmp = 0.25/sqrt(One*g3)/g3*exp(-I*g2*g2*omega/4.0/g3);
dcom e1 = I*sqrt(I*omega/g3)*(g2-2.0*g3)/2.0;
dcom e2 = I*sqrt(I*omega/g3)*(g2+2.0*g3)/2.0;
e1 = Faddeeva::erf(e1);
e2 = Faddeeva::erf(e2);
A = I*sqrt(I*PI*omega)*(2.0*f1*g3-f2*g2)*(e1-e2);
A += 4.0*I*exp(I*(g2*g2+4.0*g3*g3)*omega/4.0/g3)*sqrt(One*g3)*f2*sin(g2w);
A *= tmp;
}
return A;
}