ThickTracker.h

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//
// Class ThickTracker
//   Tracks using thick-lens algorithm.
//
// Copyright (c) 2018, Philippe Ganz, ETH Zürich
// All rights reserved
//
// Implemented as part of the Master thesis
// "s-based maps from TPS & Lie-Series applied to Proton-Therapy Gantries"
//
// This file is part of OPAL.
//
// OPAL is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// You should have received a copy of the GNU General Public License
// along with OPAL. If not, see <https://www.gnu.org/licenses/>.
//
 
#ifndef OPAL_ThickTracker_HH
#define OPAL_ThickTracker_HH
 
#include "Algorithms/Tracker.h"
 
#include "Hamiltonian.h"
 
#include "Algorithms/IndexMap.h"
#include "AbsBeamline/Drift.h"
#include "AbsBeamline/ElementBase.h"
#include "AbsBeamline/Multipole.h"
#include "AbsBeamline/RBend3D.h"
#include "AbsBeamline/SBend.h"
#include "AbsBeamline/Vacuum.h"
 
#include "Elements/OpalBeamline.h"
 
#include <cmath>
#include <list>
#include <string>
#include <tuple>
#include <vector>
 
class BMultipoleField;
class DataSink;
 
template <class T, unsigned Dim>
class PartBunchBase;
 
// [p]
// Phase space coordinates numbering:
// [tab 3 b]
// [row]number [&]name          [&]unit  [/row]
// [row]0      [&]$x$           [&]metres [/row]
// [row]1      [&]$p_x/p_r$     [&]1      [/row]
// [row]2      [&]$y$           [&]metres [/row]
// [row]3      [&]$p_y/p_r$     [&]1      [/row]
// [row]4      [&]$v*delta_t$   [&]metres [/row]
// [row]5      [&]$delta_p/p_r$ [&]1      [/row]
// [/tab][p]
// Where $p_r$ is the constant reference momentum defining the reference
// frame velocity, $m$ is the rest mass of the particles, and $v$ is the
// instantaneous velocity of the particle.
// [p]
// Other units used:
// [tab 2 b]
// [row]quantity             [&]unit           [/row]
// [row]reference momentum   [&]electron-volts [/row]
// [row]velocity             [&]metres/second  [/row]
// [row]accelerating voltage [&]volts          [/row]
// [row]frequencies          [&]hertz          [/row]
// [row]phase lags           [&]$2*pi$         [/row]
// [/tab][p]
// Approximations used:
// [ul]
// [li]
// [li]
// [li]
// [/ul]
//
// On going through an element, we use the following steps:
// To complete the map, we propagate the closed orbit and add that to the map.
 
class ThickTracker: public Tracker {
 
private:
    typedef Hamiltonian::series_t                       series_t;
    typedef FVps<double, 6>                             map_t;
    typedef FVector<double, 6>                          particle_t;
    typedef std::tuple<series_t, std::size_t, double>   tuple_t;
    typedef std::list<tuple_t>                          beamline_t;
    typedef FMatrix<double, 6, 6>                       fMatrix_t;
 
public:
 
    //  The beam line to be tracked is "bl".
    //  The particle reference data are taken from "data".
    //  The particle bunch tracked is initially empty.
    //  If [b]revBeam[/b] is true, the beam runs from s = C to s = 0.
    //  If [b]revTrack[/b] is true, we track against the beam.
    explicit ThickTracker(const Beamline &bl, const PartData &data,
                          bool revBeam, bool revTrack);
 
    //  The beam line to be tracked is "bl".
    //  The particle reference data are taken from "data".
    //  The particle bunch tracked is taken from [b]bunch[/b].
    //  If [b]revBeam[/b] is true, the beam runs from s = C to s = 0.
    //  If [b]revTrack[/b] is true, we track against the beam.
    explicit ThickTracker(const Beamline &bl,
                          PartBunchBase<double, 3> *bunch,
                          Beam &beam,
                          DataSink &ds,
                          const PartData &data,
                          bool revBeam, bool revTrack,
                          const std::vector<unsigned long long> &maxSTEPS,
                          double zstart,
                          const std::vector<double> &zstop,
                          const std::vector<double> &dt,
                          const int& truncOrder);
 
    virtual ~ThickTracker();
 
    //  overwrite the execute-methode from DefaultVisitor
    virtual void execute();
    
    //  overwrite the execute-methode from DefaultVisitor
    virtual void visitBeamline(const Beamline &);
 
    virtual void visitCCollimator(const CCollimator &);
 
    virtual void visitCorrector(const Corrector &);
 
    virtual void visitDegrader(const Degrader &);
 
    virtual void visitDrift(const Drift &);
 
    virtual void visitFlexibleCollimator(const FlexibleCollimator &);
 
    virtual void visitMarker(const Marker &);
 
    virtual void visitMonitor(const Monitor &);
 
    virtual void visitMultipole(const Multipole &);
 
    virtual void visitProbe(const Probe &);
 
    virtual void visitRBend(const RBend &);
 
    virtual void visitRFCavity(const RFCavity &);
 
    virtual void visitSBend(const SBend &);
 
    virtual void visitSeptum(const Septum &);
 
    virtual void visitSolenoid(const Solenoid &);
 
    virtual void visitTravelingWave(const TravelingWave &);
 
    virtual void visitVacuum(const Vacuum &);
 
    void prepareSections();
 
    /*
    void insertFringeField(SBend* pSBend, std::list<structMapTracking>& mBL, double& beta0,
             double& gamma0, double& P0, double& q, std::array<double,2>& entrFringe, std::string e);
     */
 
private:
 
    // Not implemented.
    ThickTracker() = delete;
    ThickTracker(const ThickTracker &)   = delete;
    void operator=(const ThickTracker &) = delete;
 
    void throwElementError_m(std::string element) {
        throw LogicalError("ThickTracker::execute()",
                           "Element '" + element + "' not supported.");
    }
 
    void checkElementOrder_m();
 
    void fillGaps_m();
 
    void track_m();
 
    particle_t particleToVector_m(const Vector_t& R,
                                  const Vector_t& P) const;
 
    void vectorToParticle_m(const particle_t& particle,
                            Vector_t& R,
                            Vector_t& P) const;
 
    void advanceParticles_m(const map_t& map);
 
    void updateParticle_m(particle_t& particle,
                          const map_t& map);
 
    void dump_m();
 
 
    void update_m(const double& spos,
                  const std::size_t& step);
 
 
    void write_m(const map_t& map);
 
    void concatenateMaps_m(const map_t& x, map_t& y);
 
 
    void advanceDispersion_m(fMatrix_t tempMatrix,
                             FMatrix<double, 1, 4> initialVal,
                             double pos);
 
    void applyEntranceFringe(double edge, double curve,
                             const BMultipoleField &field, double scale);
 
    void applyExitFringe(double edge, double curve,
                         const BMultipoleField &field, double scale);
 
 
    Hamiltonian hamiltonian_m;
 
 
    Vector_t RefPartR_m;
    Vector_t RefPartP_m;
 
    DataSink *itsDataSink_m;
 
    OpalBeamline itsOpalBeamline_m;
 
    double zstart_m;        
    double zstop_m;         
    double threshold_m;     
    beamline_t elements_m;  
 
    CoordinateSystemTrafo referenceToLabCSTrafo_m;
 
 
    int truncOrder_m; 
 
    IpplTimings::TimerRef mapCreation_m;    
    IpplTimings::TimerRef mapCombination_m; 
    IpplTimings::TimerRef mapTracking_m;    
};
 
 
inline void ThickTracker::visitCCollimator(const CCollimator &/*coll*/) {
//     itsOpalBeamline_m.visit(coll, *this, itsBunch_m);
    this->throwElementError_m("CCollimator");
}
 
 
inline void ThickTracker::visitCorrector(const Corrector &/*coll*/) {
//     itsOpalBeamline_m.visit(corr, *this, itsBunch_m);
    this->throwElementError_m("Corrector");
}
 
 
inline void ThickTracker::visitDegrader(const Degrader &/*deg*/) {
//     itsOpalBeamline_m.visit(deg, *this, itsBunch_m);
    this->throwElementError_m("Degrader");
}
 
 
inline void ThickTracker::visitDrift(const Drift &drift) {
    itsOpalBeamline_m.visit(drift, *this, itsBunch_m);
 
 
    double gamma = itsReference.getGamma();
    std::size_t nSlices = drift.getNSlices();
    double length       = drift.getElementLength();
 
    elements_m.push_back(std::make_tuple(hamiltonian_m.drift(gamma),
                                         nSlices,
                                         length));
}
 
 
inline void ThickTracker::visitFlexibleCollimator(const FlexibleCollimator &/*coll*/) {
//     itsOpalBeamline_m.visit(coll, *this, itsBunch_m);
    this->throwElementError_m("FlexibleCollimator");
}
 
 
 
inline void ThickTracker::visitMarker(const Marker &/*marker*/) {
//     itsOpalBeamline_m.visit(marker, *this, itsBunch_m);
//     this->throwElementError_m("Marker");
}
 
 
inline void ThickTracker::visitMonitor(const Monitor &/*mon*/) {
//     itsOpalBeamline_m.visit(mon, *this, itsBunch_m);
    this->throwElementError_m("Monitor");
}
 
 
inline void ThickTracker::visitMultipole(const Multipole &mult) {
    itsOpalBeamline_m.visit(mult, *this, itsBunch_m);
 
    std::size_t nSlices = mult.getNSlices();
    double length       = mult.getElementLength();
    double gamma        = itsReference.getGamma();
    double p0           = itsReference.getP();
    double q            = itsReference.getQ(); // particle change [e]
    double gradB        = mult.getField().getNormalComponent(2) * ( Physics::c/ p0 ); // [T / m]
    //FIXME remove the next line
    gradB = std::round(gradB*1e6)*1e-6;
 
    double k1           = gradB * q *Physics::c / p0; // [1 / m^2]
 
    elements_m.push_back(std::make_tuple(hamiltonian_m.quadrupole(gamma, q, k1),
                                         nSlices,
                                         length));
}
 
inline void ThickTracker::visitProbe(const Probe &/*probe*/) {
//     itsOpalBeamline_m.visit(prob, *this, itsBunch_m);
    this->throwElementError_m("Probe");
}
 
 
inline void ThickTracker::visitRBend(const RBend &/*bend*/) {
//     itsOpalBeamline_m.visit(bend, *this, itsBunch_m);
    this->throwElementError_m("RBend");
}
 
 
inline void ThickTracker::visitRFCavity(const RFCavity &/*as*/) {
//     itsOpalBeamline_m.visit(as, *this, itsBunch_m);
    this->throwElementError_m("RFCavity");
}
 
 
inline void ThickTracker::visitSBend(const SBend &bend) {
    itsOpalBeamline_m.visit(bend, *this, itsBunch_m);
 
    double q     = itsReference.getQ(); // particle change [e]
    double ekin = bend.getDesignEnergy();
 
    double m     = itsReference.getM(); // eV / c^2
    double gamma = ekin / m + 1.0;
    double beta  = std::sqrt(1.0 - 1.0 / ( gamma * gamma ) );
    double p0    = gamma * beta * m; // eV / c
 
    double B     = bend.getB() * Physics::c / p0; // T = V * s / m^2
    double r     = std::abs(p0   / ( q * B * Physics::c )); // m
 
    double k0    = B * q * Physics::c / p0; // V * s * e * m / (m^2 * s * c )
 
    // [1/m]
    double h = 1.0 / r;
 
    double L = bend.getElementLength();
 
    if ( k0 < 0.0 )
        h *= -1.0;
 
    std::size_t nSlices = bend.getNSlices();
 
    double arclength    = 2.0 * r * std::asin( L / ( 2.0 * r ) ); //bend.getEffectiveLength();
 
    // Fringe fields currently not working
    //FIXME e1 not initialised
    //insert Entrance Fringefield
    double e1 = bend.getEntranceAngle();
    if (std::abs(e1) > 1e-6){
        elements_m.push_back(std::make_tuple(hamiltonian_m.fringeField(e1, h),
                                             1, 0.0));
    }
 
    //insert Dipole "body"
    elements_m.push_back(std::make_tuple(hamiltonian_m.sbend(gamma, h, k0),
                                         nSlices,
                                         arclength));
 
    //FIXME e2 not initialised
    //insert Exit Fringe field
    double e2 = bend.getExitAngle();
    if (std::abs(e2) > 1e-6){
        elements_m.push_back(std::make_tuple(hamiltonian_m.fringeField(e2, h),
                                             1, 0.0));
    }
 
}
 
 
inline void ThickTracker::visitSeptum(const Septum &/*sept*/) {
//     itsOpalBeamline_m.visit(sept, *this, itsBunch_m);
    this->throwElementError_m("Septum");
}
 
 
inline void ThickTracker::visitSolenoid(const Solenoid &/*solenoid*/) {
//     itsOpalBeamline_m.visit(solenoid, *this, itsBunch_m);
    this->throwElementError_m("Solenoid");
}
 
 
inline void ThickTracker::visitTravelingWave(const TravelingWave &/*as*/) {
//     itsOpalBeamline_m.visit(as, *this, itsBunch_m);
    this->throwElementError_m("TravelingWave");
}
 
 
inline void ThickTracker::visitVacuum(const Vacuum &vac) {
    itsOpalBeamline_m.visit(vac, *this, itsBunch_m);
}
 
#endif // OPAL_ThickTracker_HH