#include <MultipoleTCurvedVarRadius.h>

Inheritance diagram for MultipoleTCurvedVarRadius:

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Collaboration diagram for MultipoleTCurvedVarRadius:

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Public Member Functions
	MultipoleTCurvedVarRadius (const std::string &name)

	MultipoleTCurvedVarRadius (const MultipoleTCurvedVarRadius &right)

	~MultipoleTCurvedVarRadius ()

virtual ElementBase *	clone () const override

void	accept (BeamlineVisitor &visitor) const override

VarRadiusGeometry &	getGeometry () override

const VarRadiusGeometry &	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	initialise (PartBunchBase< double, 3 > *, double &startField, double &endField)

void	finalise ()

bool	bends () const

double	getDipoleConstant () const

void	setDipoleConstant (const double &B0)

std::size_t	getMaxOrder () const

virtual void	setMaxOrder (const std::size_t &maxOrder)

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)

virtual void	setBendAngle (const double &angle)

virtual double	getBendAngle () const

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 ()

virtual EMField &	getField ()=0
	Return field. More...

virtual const EMField &	getField () const =0
	Return field. More...

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 bool	apply (const size_t &i, const double &t, Vector_t &E, Vector_t &B)

virtual bool	apply (const Vector_t &R, const Vector_t &P, const double &t, Vector_t &E, Vector_t &B)

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 &, const double &, Vector_t &, double &)

virtual double	getDesignEnergy () const

virtual void	setDesignEnergy (const double &energy, bool changeable=true)

virtual void	initialise (PartBunchBase< double, 3 > *bunch, double &startField, double &endField)=0

virtual void	finalise ()=0

virtual bool	bends () const =0

virtual void	goOnline (const double &kineticEnergy)

virtual void	goOffline ()

virtual bool	Online ()

virtual void	getDimensions (double &zBegin, double &zEnd) const =0

virtual ElementType	getType () const
	Get element type std::string. More...

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...

virtual ElementType	getType () const =0
	Get element type std::string. More...

std::string	getTypeString () const

virtual BGeometryBase &	getGeometry ()=0
	Get geometry. More...

virtual const BGeometryBase &	getGeometry () const =0
	Get geometry. More...

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 void	accept (BeamlineVisitor &visitor) const =0
	Apply visitor. More...

virtual ElementBase *	clone () const =0
	Return clone. 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...

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

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< ApertureType, std::vector< double > >	getAperture () const

virtual bool	isInside (const Vector_t &r) const

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

virtual BoundingBox	getBoundingBoxInLabCoords () const

virtual int	getRequiredNumberOfTimeSteps () const

void	setOutputFN (std::string fn)
	Set output filename. More...

std::string	getOutputFN () const
	Get output filename. More...

void	setFlagDeleteOnTransverseExit (bool=true)

bool	getFlagDeleteOnTransverseExit () 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
MultipoleTCurvedVarRadius	operator= (const MultipoleTCurvedVarRadius &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::RecursionRelationTwo >	recursion_m

VarRadiusGeometry	varRadiusGeometry_m

double	angle_m

Additional Inherited Members
Static Public Member Functions inherited from ElementBase
static std::string	getTypeString (ElementType type)

Protected Member Functions inherited from MultipoleTBase
double	getFringeDeriv (const std::size_t &n, const double &s)

double	getTransDeriv (const std::size_t &n, const double &x)

Protected Member Functions inherited from ElementBase
bool	isInsideTransverse (const Vector_t &r) const

Protected Member Functions inherited from RCObject
	RCObject ()
	Default constructor. More...

	RCObject (const RCObject &)
	Copy constructor. More...

virtual	~RCObject ()=0

RCObject &	operator= (const RCObject &right)

Protected Attributes inherited from Component
double	exit_face_slope_m

PartBunchBase< double, 3 > *	RefPartBunch_m

bool	online_m

Protected Attributes inherited from ElementBase
bool	shareFlag

CoordinateSystemTrafo	csTrafoGlobal2Local_m

CoordinateSystemTrafo	misalignment_m

std::pair< ApertureType, std::vector< double > >	aperture_m

double	elementEdge_m

double	rotationZAxis_m

Static Protected Attributes inherited from Component
static const std::vector< double >	defaultAperture_m

Detailed Description

MultipoleTCurvedVarRadius defines a curved combined function magnet with
variable 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 85 of file MultipoleTCurvedVarRadius.h.

Constructor & Destructor Documentation

◆ MultipoleTCurvedVarRadius() [1/2]

MultipoleTCurvedVarRadius::MultipoleTCurvedVarRadius ( const std::string & name )

explicit

Constructor

Parameters

name	-> User-defined name

Definition at line 37 of file MultipoleTCurvedVarRadius.cpp.

Referenced by clone().

◆ MultipoleTCurvedVarRadius() [2/2]

MultipoleTCurvedVarRadius::MultipoleTCurvedVarRadius ( const MultipoleTCurvedVarRadius & right )

Copy constructor

Definition at line 44 of file MultipoleTCurvedVarRadius.cpp.

References Component::RefPartBunch_m.

◆ ~MultipoleTCurvedVarRadius()

MultipoleTCurvedVarRadius::~MultipoleTCurvedVarRadius ( )

Destructor

Definition at line 54 of file MultipoleTCurvedVarRadius.cpp.

Member Function Documentation

◆ accept()

void MultipoleTCurvedVarRadius::accept ( BeamlineVisitor & visitor ) const

inlineoverridevirtual

Accept a beamline visitor

Implements ElementBase.

Definition at line 163 of file MultipoleTCurvedVarRadius.h.

References BeamlineVisitor::visitMultipoleTCurvedVarRadius().

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◆ clone()

ElementBase * MultipoleTCurvedVarRadius::clone ( ) const

overridevirtual

Inheritable copy constructor

Implements ElementBase.

Definition at line 57 of file MultipoleTCurvedVarRadius.cpp.

References MultipoleTCurvedVarRadius().

Referenced by ParallelCyclotronTracker::visitMultipoleTCurvedVarRadius().

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◆ getBendAngle()

double MultipoleTCurvedVarRadius::getBendAngle ( ) const

inlineoverridevirtual

Get the bending angle of the magnet

Reimplemented from MultipoleTBase.

Definition at line 188 of file MultipoleTCurvedVarRadius.h.

References angle_m.

◆ getFn()

double MultipoleTCurvedVarRadius::getFn	(	const std::size_t &	n,
		const double &	x,
		const double &	s
	)

overrideprivatevirtual

Calculate fn(x, s) by expanding the differential operator (from Laplacian and scalar potential) in terms of polynomials

Parameters

n	-> nth derivative
x	-> Coordinate x
s	-> Coordinate s

Implements MultipoleTBase.

Definition at line 117 of file MultipoleTCurvedVarRadius.cpp.

References angle_m, MultipoleTBase::getFringeDeriv(), MultipoleTBase::getLength(), MultipoleTBase::getTransDeriv(), Hypervolume::n, and recursion_m.

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◆ getGeometry() [1/2]

const VarRadiusGeometry & MultipoleTCurvedVarRadius::getGeometry ( ) const

inlineoverridevirtual

Return the cell geometry

Implements ElementBase.

Definition at line 180 of file MultipoleTCurvedVarRadius.h.

References varRadiusGeometry_m.

◆ getGeometry() [2/2]

VarRadiusGeometry & MultipoleTCurvedVarRadius::getGeometry ( )

inlineoverridevirtual

Return the cell geometry

Implements ElementBase.

Definition at line 176 of file MultipoleTCurvedVarRadius.h.

References varRadiusGeometry_m.

Referenced by OpalMultipoleTCurvedVarRadius::update().

◆ getMaxXOrder()

std::size_t MultipoleTCurvedVarRadius::getMaxXOrder ( ) const

inline

Get highest power of x in polynomial expansions

Definition at line 172 of file MultipoleTCurvedVarRadius.h.

References maxOrderX_m.

◆ getRadius()

double MultipoleTCurvedVarRadius::getRadius ( const double & s )

overrideprivatevirtual

Radius of curvature
If radius of curvature is infinite, -1 is returned
$ \rho(s) = rho(0) * S(0) / S(s) $ where S(s) is the fringe field

Parameters

s	-> Coordinate s

Implements MultipoleTBase.

Definition at line 103 of file MultipoleTCurvedVarRadius.cpp.

References angle_m, MultipoleTBase::getFringeDeriv(), and MultipoleTBase::getLength().

Referenced by getScaleFactor().

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◆ getScaleFactor()

double MultipoleTCurvedVarRadius::getScaleFactor	(	const double &	x,
		const double &	s
	)

overrideprivatevirtual

Returns the scale factor $ h_s = 1 + x / \rho(s) $

Parameters

x	-> Coordinate x
s	-> Coordinate s

Implements MultipoleTBase.

Definition at line 112 of file MultipoleTCurvedVarRadius.cpp.

References getRadius().

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◆ initialise()

void MultipoleTCurvedVarRadius::initialise	(	PartBunchBase< double, 3 > *	bunch,
		double &	startField,
		double &	endField
	)

inlineoverridevirtual

Initialise the MultipoleT

Parameters

bunch	-> Bunch the global bunch object
startField	-> Not used
endField	-> Not used

Reimplemented from MultipoleTBase.

Definition at line 192 of file MultipoleTCurvedVarRadius.h.

References angle_m, MultipoleTBase::getBoundingBoxLength(), MultipoleTBase::getFringeLength(), MultipoleTBase::getLength(), Component::RefPartBunch_m, VarRadiusGeometry::setElementLength(), VarRadiusGeometry::setLambdaLeft(), VarRadiusGeometry::setLambdaRight(), VarRadiusGeometry::setRadius(), VarRadiusGeometry::setS0(), and varRadiusGeometry_m.

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◆ operator=()

MultipoleTCurvedVarRadius MultipoleTCurvedVarRadius::operator= ( const MultipoleTCurvedVarRadius & rhs )

private

◆ setBendAngle()

void MultipoleTCurvedVarRadius::setBendAngle ( const double & angle )

inlineoverridevirtual

Set the bending angle of the magnet

Reimplemented from MultipoleTBase.

Definition at line 184 of file MultipoleTCurvedVarRadius.h.

References angle_m.

Referenced by OpalMultipoleTCurvedVarRadius::update().

◆ setMaxOrder()

void MultipoleTCurvedVarRadius::setMaxOrder ( const std::size_t & maxOrder )

overridevirtual

Set the number of terms used in calculation of field components
Maximum power of z in Bz is 2 * maxOrder_m

Parameters

maxOrder -> Number of terms in expansion in z

Reimplemented from MultipoleTBase.

Definition at line 91 of file MultipoleTCurvedVarRadius.cpp.

References MultipoleTBase::getTransMaxOrder(), maxOrderX_m, recursion_m, polynomial::RecursionRelationTwo::resizeX(), MultipoleTBase::setMaxOrder(), and polynomial::RecursionRelationTwo::truncate().

Referenced by OpalMultipoleTCurvedVarRadius::update().

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◆ setMaxXOrder()

void MultipoleTCurvedVarRadius::setMaxXOrder ( const std::size_t & maxXOrder )

inline

Set the number of terms used in polynomial expansions

Parameters

maxXOrder -> Number of terms in expansion in z

Definition at line 167 of file MultipoleTCurvedVarRadius.h.

References maxOrderX_m.

Referenced by OpalMultipoleTCurvedVarRadius::update().

◆ transformBField()

void MultipoleTCurvedVarRadius::transformBField	(	Vector_t &	B,
		const Vector_t &	R
	)

overrideprivatevirtual

Transform B-field from Frenet-Serret coordinates to lab coordinates

Implements MultipoleTBase.

Definition at line 74 of file MultipoleTCurvedVarRadius.cpp.

References angle_m, cos(), cosh(), MultipoleTBase::getFringeLength(), MultipoleTBase::getLength(), log(), Attrib::Distribution::R, sin(), and tanh().

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◆ transformCoords()

void MultipoleTCurvedVarRadius::transformCoords ( Vector_t & R )

overrideprivatevirtual

Transform to Frenet-Serret coordinates for sector magnets

Implements MultipoleTBase.

Definition at line 61 of file MultipoleTCurvedVarRadius.cpp.

References angle_m, MultipoleTBase::getFringeLength(), MultipoleTBase::getLength(), coordinatetransform::CoordinateTransform::getTransformation(), and Attrib::Distribution::R.

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Member Data Documentation

◆ angle_m

double MultipoleTCurvedVarRadius::angle_m

private

Definition at line 138 of file MultipoleTCurvedVarRadius.h.

Referenced by getBendAngle(), getFn(), getRadius(), initialise(), setBendAngle(), transformBField(), and transformCoords().

◆ maxOrderX_m

std::size_t MultipoleTCurvedVarRadius::maxOrderX_m

private

Highest order of polynomial expansions in x

Definition at line 129 of file MultipoleTCurvedVarRadius.h.

Referenced by getMaxXOrder(), setMaxOrder(), and setMaxXOrder().

◆ recursion_m

std::vector<polynomial::RecursionRelationTwo> MultipoleTCurvedVarRadius::recursion_m

private

Objects for storing differential operator acting on Fn

Definition at line 131 of file MultipoleTCurvedVarRadius.h.

Referenced by getFn(), and setMaxOrder().

◆ varRadiusGeometry_m

VarRadiusGeometry MultipoleTCurvedVarRadius::varRadiusGeometry_m

private

Geometry

Definition at line 133 of file MultipoleTCurvedVarRadius.h.

Referenced by getGeometry(), and initialise().

The documentation for this class was generated from the following files:

/Users/gsell/src/OPAL/src/src/Classic/AbsBeamline/MultipoleTCurvedVarRadius.h
/Users/gsell/src/OPAL/src/src/Classic/AbsBeamline/MultipoleTCurvedVarRadius.cpp

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ MultipoleTCurvedVarRadius() [1/2]

◆ MultipoleTCurvedVarRadius() [2/2]

◆ ~MultipoleTCurvedVarRadius()

Member Function Documentation

◆ accept()

◆ clone()

◆ getBendAngle()

◆ getFn()

◆ getGeometry() [1/2]

◆ getGeometry() [2/2]

◆ getMaxXOrder()

◆ getRadius()

◆ getScaleFactor()

◆ initialise()

◆ operator=()

◆ setBendAngle()

◆ setMaxOrder()

◆ setMaxXOrder()

◆ transformBField()

◆ transformCoords()

Member Data Documentation

◆ angle_m

◆ maxOrderX_m

◆ recursion_m

◆ varRadiusGeometry_m