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OPAL (Object Oriented Parallel Accelerator Library)
2.2.0
OPAL
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#include <MultipoleTCurvedConstRadius.h>


Public Member Functions | |
| MultipoleTCurvedConstRadius (const std::string &name) | |
| MultipoleTCurvedConstRadius (const MultipoleTCurvedConstRadius &right) | |
| ~MultipoleTCurvedConstRadius () | |
| virtual ElementBase * | clone () const override |
| void | accept (BeamlineVisitor &visitor) const override |
| PlanarArcGeometry & | getGeometry () override |
| const PlanarArcGeometry & | getGeometry () const override |
| virtual void | setMaxOrder (const std::size_t &maxOrder) override |
| std::size_t | getMaxXOrder () const |
| void | setMaxXOrder (const std::size_t &maxXOrder) |
| virtual void | setBendAngle (const double &angle) override |
| virtual double | getBendAngle () const override |
| virtual void | initialise (PartBunchBase< double, 3 > *bunch, double &startField, double &endField) override |
Public Member Functions inherited from MultipoleTBase | |
| MultipoleTBase () | |
| MultipoleTBase (const std::string &name) | |
| MultipoleTBase (const MultipoleTBase &right) | |
| ~MultipoleTBase () | |
| EMField & | getField () |
| const EMField & | getField () const |
| bool | apply (const Vector_t &R, const Vector_t &P, const double &t, Vector_t &E, Vector_t &B) |
| bool | apply (const size_t &i, const double &t, Vector_t &E, Vector_t &B) |
| void | finalise () |
| bool | bends () const |
| double | getDipoleConstant () const |
| void | setDipoleConstant (const double &B0) |
| std::size_t | getMaxOrder () const |
| std::size_t | getTransMaxOrder () const |
| void | setTransMaxOrder (const std::size_t &transMaxOrder) |
| void | setTransProfile (const std::size_t &n, const double &Bn) |
| double | getTransProfile (const std::size_t &n) const |
| std::vector< double > | getTransProfile () const |
| bool | setFringeField (const double &s0, const double &lambda_left, const double &lambda_right) |
| std::vector< double > | getFringeLength () const |
| void | setEntranceAngle (const double &entranceAngle) |
| double | getEntranceAngle () const |
| void | setLength (const double &length) |
| double | getLength () const |
| void | setAperture (const double &vertAp, const double &horizAp) |
| std::vector< double > | getAperture () const |
| void | setRotation (const double &rot) |
| double | getRotation () const |
| double | getBoundingBoxLength () const |
| void | setBoundingBoxLength (const double &boundingBoxLength) |
| virtual void | getDimensions (double &zBegin, double &zEnd) const |
Public Member Functions inherited from Component | |
| Component (const std::string &name) | |
| Constructor with given name. More... | |
| Component () | |
| Component (const Component &right) | |
| virtual | ~Component () |
| EVector | Efield (const Point3D &P) const |
| Return the field in a point. More... | |
| BVector | Bfield (const Point3D &P) const |
| Return the field in a point. More... | |
| EVector | Efield (const Point3D &P, double t) const |
| Return the field in a point. More... | |
| BVector | Bfield (const Point3D &P, double t) const |
| Return the field in a point. More... | |
| EBVectors | EBfield (const Point3D &P) const |
| Return the field in a point. More... | |
| EBVectors | EBfield (const Point3D &P, double t) const |
| Return the field in a point. More... | |
| virtual void | addKR (int i, double t, Vector_t &K) |
| virtual void | addKT (int i, double t, Vector_t &K) |
| virtual bool | applyToReferenceParticle (const Vector_t &R, const Vector_t &P, const double &t, Vector_t &E, Vector_t &B) |
| virtual bool | getPotential (const Vector_t &R, const double &t, Vector_t &A, double &phi) |
| virtual double | getDesignEnergy () const |
| virtual void | setDesignEnergy (const double &energy, bool changeable) |
| virtual void | goOnline (const double &kineticEnergy) |
| virtual void | goOffline () |
| virtual bool | Online () |
| virtual ElementBase::ElementType | getType () const |
| Get element type std::string. More... | |
| virtual void | setComponentType (std::string) |
| virtual std::string | getComponentType () const |
| virtual const ElementBase & | getDesign () const |
| Return design element. More... | |
| virtual void | trackBunch (PartBunchBase< double, 3 > *bunch, const PartData &, bool revBeam, bool revTrack) const |
| Track particle bunch. More... | |
| virtual void | trackMap (FVps< double, 6 > &map, const PartData &, bool revBeam, bool revTrack) const |
| Track a map. More... | |
| void | setExitFaceSlope (const double &) |
Public Member Functions inherited from ElementBase | |
| ElementBase (const std::string &name) | |
| Constructor with given name. More... | |
| ElementBase () | |
| ElementBase (const ElementBase &) | |
| virtual | ~ElementBase () |
| virtual const std::string & | getName () const |
| Get element name. More... | |
| virtual void | setName (const std::string &name) |
| Set element name. More... | |
| std::string | getTypeString () const |
| virtual double | getArcLength () const |
| Get arc length. More... | |
| virtual double | getElementLength () const |
| Get design length. More... | |
| virtual void | setElementLength (double length) |
| Set design length. More... | |
| virtual void | getElementDimensions (double &begin, double &end) const |
| virtual double | getOrigin () const |
| Get origin position. More... | |
| virtual double | getEntrance () const |
| Get entrance position. More... | |
| virtual double | getExit () const |
| Get exit position. More... | |
| virtual Euclid3D | getTransform (double fromS, double toS) const |
| Get transform. More... | |
| virtual Euclid3D | getTransform (double s) const |
| Get transform. More... | |
| virtual Euclid3D | getTotalTransform () const |
| Get transform. More... | |
| virtual Euclid3D | getEntranceFrame () const |
| Get transform. More... | |
| virtual Euclid3D | getExitFrame () const |
| Get transform. More... | |
| virtual Euclid3D | getEntrancePatch () const |
| Get patch. More... | |
| virtual Euclid3D | getExitPatch () const |
| Get patch. More... | |
| virtual double | getAttribute (const std::string &aKey) const |
| Get attribute value. More... | |
| virtual bool | hasAttribute (const std::string &aKey) const |
| Test for existence of an attribute. More... | |
| virtual void | removeAttribute (const std::string &aKey) |
| Remove an existing attribute. More... | |
| virtual void | setAttribute (const std::string &aKey, double val) |
| Set value of an attribute. More... | |
| virtual Channel * | getChannel (const std::string &aKey, bool create=false) |
| Construct a read/write channel. More... | |
| virtual const ConstChannel * | getConstChannel (const std::string &aKey) const |
| Construct a read-only channel. More... | |
| virtual ElementImage * | getImage () const |
| Construct an image. More... | |
| virtual ElementBase * | copyStructure () |
| Make a structural copy. More... | |
| bool | isSharable () const |
| Test if the element can be shared. More... | |
| virtual void | makeSharable () |
| Set sharable flag. More... | |
| virtual ElementBase * | makeAlignWrapper () |
| Allow misalignment. More... | |
| virtual ElementBase * | makeFieldWrapper () |
| Allow field errors. More... | |
| virtual ElementBase * | makeWrappers () |
| Allow errors. More... | |
| virtual ElementBase * | removeAlignWrapper () |
| Remove align wrapper. More... | |
| virtual const ElementBase * | removeAlignWrapper () const |
| Remove align wrapper. More... | |
| virtual ElementBase * | removeFieldWrapper () |
| Remove field wrapper. More... | |
| virtual const ElementBase * | removeFieldWrapper () const |
| Remove field wrapper. More... | |
| virtual ElementBase * | removeWrappers () |
| Return the design element. More... | |
| virtual const ElementBase * | removeWrappers () const |
| Return the design element. More... | |
| bool | update (const AttributeSet &) |
| Update element. More... | |
| virtual void | setBoundaryGeometry (BoundaryGeometry *geo) |
| virtual BoundaryGeometry * | getBoundaryGeometry () const |
| return the attached boundary geometrt object if there is any More... | |
| virtual bool | hasBoundaryGeometry () const |
| virtual void | setWake (WakeFunction *wf) |
| attach a wake field to the element More... | |
| virtual WakeFunction * | getWake () const |
| return the attached wake object if there is any More... | |
| virtual bool | hasWake () const |
| virtual void | setParticleMatterInteraction (ParticleMatterInteractionHandler *spys) |
| virtual ParticleMatterInteractionHandler * | getParticleMatterInteraction () const |
| virtual bool | hasParticleMatterInteraction () const |
| ElemType | getElType () const |
| returns element type as enumeration needed in the envelope tracker More... | |
| void | setElType (ElemType elt) |
| set the element type as enumeration needed in the envelope tracker More... | |
| void | setCSTrafoGlobal2Local (const CoordinateSystemTrafo &ori) |
| CoordinateSystemTrafo | getCSTrafoGlobal2Local () const |
| void | releasePosition () |
| void | fixPosition () |
| bool | isPositioned () const |
| virtual CoordinateSystemTrafo | getEdgeToBegin () const |
| virtual CoordinateSystemTrafo | getEdgeToEnd () const |
| void | setAperture (const ApertureType &type, const std::vector< double > &args) |
| std::pair < ElementBase::ApertureType, std::vector< double > > | getAperture () const |
| virtual bool | isInside (const Vector_t &r) const |
| void | setMisalignment (double x, double y, double s) |
| void | setMisalignment (const CoordinateSystemTrafo &cst) |
| void | getMisalignment (double &x, double &y, double &s) const |
| CoordinateSystemTrafo | getMisalignment () const |
| void | setActionRange (const std::queue< std::pair< double, double > > &range) |
| void | setCurrentSCoordinate (double s) |
| void | setRotationAboutZ (double rotation) |
| Set rotation about z axis in bend frame. More... | |
| double | getRotationAboutZ () const |
| void | setElementPosition (double elemedge) |
| Access to ELEMEDGE attribute. More... | |
| double | getElementPosition () const |
| bool | isElementPositionSet () const |
Public Member Functions inherited from RCObject | |
| int | addReference () const |
| Increment reference count. More... | |
| int | removeReference () const |
| Decrement the reference count. More... | |
| bool | isShared () const |
| Test for sharing. More... | |
Private Member Functions | |
| MultipoleTCurvedConstRadius | operator= (const MultipoleTCurvedConstRadius &rhs) |
| virtual void | transformCoords (Vector_t &R) override |
| virtual void | transformBField (Vector_t &B, const Vector_t &R) override |
| virtual double | getRadius (const double &s) override |
| virtual double | getScaleFactor (const double &x, const double &s) override |
| virtual double | getFn (const std::size_t &n, const double &x, const double &s) override |
Private Attributes | |
| std::size_t | maxOrderX_m |
| std::vector < polynomial::RecursionRelation > | recursion_m |
| PlanarArcGeometry | planarArcGeometry_m |
| double | angle_m |
MultipoleT defines a curved combined function magnet with constant radius
of curvature, (up to arbitrary multipole component) with fringe fields
Class category: AbsBeamline
$Author: Titus Dascalu, Martin Duy Tat, Chris Rogers
The field is obtained from the scalar potential
\[ V = f_0(x,s) z + f_1 (x,s) \frac{z^3}{3!} + f_2 (x,s) \frac{z^5}{5!} + ... \]
(x,z,s) -> Frenet-Serret local coordinates along the magnet
z -> vertical component
assume mid-plane symmetry
set field on mid-plane -> \( B_z = f_0(x,s) = T(x) \cdot S(s) \)
T(x) -> transverse profile; this is a polynomial describing the field expansion on the mid-plane inside the magnet (not in the fringe field); 1st term is the dipole strength, 2nd term is the quadrupole gradient * x, etc.
-> when setting the magnet, one gives the multipole coefficients of this polynomial (i.e. dipole strength, quadrupole gradient, etc.)
----------— example --------------------------------------------—
Setting a combined function magnet with dipole, quadrupole and sextupole components:
\( T(x) = B_0 + B_1 \cdot x + B_2 \cdot x^2 \)
user gives \( B_0, B_1, B_2 \)
----------— example end ----------------------------------------—
S(s) -> fringe field
recursion -> \( f_n (x,s) = (-1)^n \cdot \sum_{i=0}^{n} C_n^i \cdot T^{(2i)} \cdot S^{(2n-2i)} \)
for curved magnets the above recursion is more complicated
\( C_n^i \) -> binomial coeff; \( T^{(n)} \) -> n-th derivative
Definition at line 83 of file MultipoleTCurvedConstRadius.h.
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explicit |
Constructor
| name | -> User-defined name |
Definition at line 35 of file MultipoleTCurvedConstRadius.cpp.
Referenced by clone().
| MultipoleTCurvedConstRadius::MultipoleTCurvedConstRadius | ( | const MultipoleTCurvedConstRadius & | right | ) |
Copy constructor
Definition at line 43 of file MultipoleTCurvedConstRadius.cpp.
References Component::RefPartBunch_m.
| MultipoleTCurvedConstRadius::~MultipoleTCurvedConstRadius | ( | ) |
Destructor
Definition at line 53 of file MultipoleTCurvedConstRadius.cpp.
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inlineoverridevirtual |
Accept a beamline visitor
Implements ElementBase.
Definition at line 161 of file MultipoleTCurvedConstRadius.h.
References BeamlineVisitor::visitMultipoleTCurvedConstRadius().

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overridevirtual |
Inheritable copy constructor
Implements ElementBase.
Definition at line 56 of file MultipoleTCurvedConstRadius.cpp.
References MultipoleTCurvedConstRadius().
Referenced by ParallelCyclotronTracker::visitMultipoleTCurvedConstRadius().

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inlineoverridevirtual |
Get the bending angle of the magnet
Reimplemented from MultipoleTBase.
Definition at line 186 of file MultipoleTCurvedConstRadius.h.
References angle_m.
Referenced by OpalMultipoleTCurvedConstRadius::fillRegisteredAttributes().
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overrideprivatevirtual |
Calculate fn(x, s) by expanding the differential operator (from Laplacian and scalar potential) in terms of polynomials
| n | -> nth derivative |
| x | -> Coordinate x |
| s | -> Coordinate s |
Implements MultipoleTBase.
Definition at line 105 of file MultipoleTCurvedConstRadius.cpp.
References angle_m, MultipoleTBase::getFringeDeriv(), MultipoleTBase::getLength(), MultipoleTBase::getTransDeriv(), and recursion_m.

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inlineoverridevirtual |
Return the cell geometry
Implements ElementBase.
Definition at line 174 of file MultipoleTCurvedConstRadius.h.
References planarArcGeometry_m.
Referenced by OpalMultipoleTCurvedConstRadius::update().
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inlineoverridevirtual |
Return the cell geometry
Implements ElementBase.
Definition at line 178 of file MultipoleTCurvedConstRadius.h.
References planarArcGeometry_m.
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inline |
Get highest power of x in polynomial expansions
Definition at line 170 of file MultipoleTCurvedConstRadius.h.
References maxOrderX_m.
Referenced by OpalMultipoleTCurvedConstRadius::fillRegisteredAttributes().
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overrideprivatevirtual |
Radius of curvature
If radius of curvature is infinite, -1 is returned
\( \rho(s) = length_m / angle_m \)
| s | -> Coordinate s |
Implements MultipoleTBase.
Definition at line 92 of file MultipoleTCurvedConstRadius.cpp.
References angle_m, and MultipoleTBase::getLength().

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overrideprivatevirtual |
Returns the scale factor \( h_s = 1 + x / \rho \)
| x | -> Coordinate x |
| s | -> Coordinate s |
Implements MultipoleTBase.
Definition at line 100 of file MultipoleTCurvedConstRadius.cpp.
References angle_m, and MultipoleTBase::getLength().

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inlineoverridevirtual |
Initialise the MultipoleT
| bunch | -> Bunch the global bunch object |
| startField | -> Not used |
| endField | -> Not used |
Reimplemented from MultipoleTBase.
Definition at line 190 of file MultipoleTCurvedConstRadius.h.
References angle_m, MultipoleTBase::getBoundingBoxLength(), MultipoleTBase::getLength(), planarArcGeometry_m, Component::RefPartBunch_m, PlanarArcGeometry::setCurvature(), and PlanarArcGeometry::setElementLength().

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private |
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inlineoverridevirtual |
Set the bending angle of the magnet
Reimplemented from MultipoleTBase.
Definition at line 182 of file MultipoleTCurvedConstRadius.h.
References angle_m.
Referenced by OpalMultipoleTCurvedConstRadius::update().
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overridevirtual |
Set the number of terms used in calculation of field components
Maximum power of z in Bz is 2 * maxOrder_m
| maxOrder | -> Number of terms in expansion in z |
Reimplemented from MultipoleTBase.
Definition at line 80 of file MultipoleTCurvedConstRadius.cpp.
References MultipoleTBase::getTransMaxOrder(), maxOrderX_m, recursion_m, polynomial::RecursionRelation::resizeX(), MultipoleTBase::setMaxOrder(), and polynomial::RecursionRelation::truncate().
Referenced by OpalMultipoleTCurvedConstRadius::update().

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inline |
Set the number of terms used in polynomial expansions
| maxXOrder | -> Number of terms in expansion in z |
Definition at line 165 of file MultipoleTCurvedConstRadius.h.
References maxOrderX_m.
Referenced by OpalMultipoleTCurvedConstRadius::update().
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overrideprivatevirtual |
Transform B-field from Frenet-Serret coordinates to lab coordinates
Implements MultipoleTBase.
Definition at line 71 of file MultipoleTCurvedConstRadius.cpp.
References angle_m, cos(), MultipoleTBase::getLength(), and sin().

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overrideprivatevirtual |
Transform to Frenet-Serret coordinates for sector magnets
Implements MultipoleTBase.
Definition at line 60 of file MultipoleTCurvedConstRadius.cpp.
References Physics::alpha, angle_m, atan(), MultipoleTBase::getLength(), and sin().

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private |
Definition at line 137 of file MultipoleTCurvedConstRadius.h.
Referenced by getBendAngle(), getFn(), getRadius(), getScaleFactor(), initialise(), setBendAngle(), transformBField(), and transformCoords().
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private |
Highest order of polynomial expansions in x
Definition at line 128 of file MultipoleTCurvedConstRadius.h.
Referenced by getMaxXOrder(), setMaxOrder(), and setMaxXOrder().
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private |
Geometry
Definition at line 132 of file MultipoleTCurvedConstRadius.h.
Referenced by getGeometry(), and initialise().
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private |
Object for storing differential operator acting on Fn
Definition at line 130 of file MultipoleTCurvedConstRadius.h.
Referenced by getFn(), and setMaxOrder().
1.8.5