#include <MultipoleT.h>

Inheritance diagram for MultipoleT:

Collaboration diagram for MultipoleT:

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

	MultipoleT (const MultipoleT &right)

	~MultipoleT ()

ElementBase *	clone () const override

EMField &	getField () override

const EMField &	getField () const override

void	getDimensions (double &zBegin, double &zEnd) const override

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

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

void	initialise (PartBunchBase< double, 3 > *, double &startField, double &endField) override

void	initialise ()

void	finalise () override

bool	bends () const override

PlanarArcGeometry &	getGeometry () override

const PlanarArcGeometry &	getGeometry () const override

void	accept (BeamlineVisitor &visitor) const override

double	getDipoleConstant () const

void	setDipoleConstant (double B0)

std::size_t	getMaxOrder () const

void	setMaxOrder (std::size_t maxOrder)

std::size_t	getMaxXOrder () const

void	setMaxXOrder (std::size_t maxXOrder)

std::size_t	getTransMaxOrder () const

void	setTransMaxOrder (std::size_t transMaxOrder)

void	setTransProfile (std::size_t n, double Bn)

double	getTransProfile (int n) const

std::vector< double >	getTransProfile () const

bool	setFringeField (double s0, double lambda_left, double lambda_right)

std::vector< double >	getFringeLength () const

void	setBendAngle (double angle)

double	getBendAngle () const

void	setEntranceAngle (double entranceAngle)

double	getEntranceAngle () const

double	getBendRadius () const

void	setLength (double length)

double	getLength () const

double	getChordLength () const

void	setAperture (double vertAp, double horizAp)

std::vector< double >	getAperture () const

void	setRotation (double rot)

double	getRotation () const

void	setVarRadius ()

bool	getVarRadius () const

double	getBoundingBoxLength () const

void	setBoundingBoxLength (const double &boundingBoxLength)

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
MultipoleT	operator= (const MultipoleT &rhs)

Vector_t	rotateFrame (const Vector_t &R)

Vector_t	rotateFrameInverse (Vector_t &B)

Vector_t	transformCoords (const Vector_t &R)

double	getBx (const Vector_t &R)

double	getBz (const Vector_t &R)

double	getBs (const Vector_t &R)

double	getFringeDeriv (int n, double s)

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

bool	insideAperture (const Vector_t &R)

double	getRadius (double s)

double	getScaleFactor (double x, double s)

double	getFnDerivX (std::size_t n, double x, double s)

double	getFnDerivS (std::size_t n, double x, double s)

double	getFn (std::size_t n, double x, double s)

Private Attributes
endfieldmodel::Tanh	fringeField_l

endfieldmodel::Tanh	fringeField_r

std::size_t	maxOrder_m = 0

std::size_t	maxOrderX_m = 0

std::vector < polynomial::RecursionRelationTwo >	recursion_VarRadius_m

std::vector < polynomial::RecursionRelation >	recursion_ConstRadius_m

std::size_t	transMaxOrder_m = 0

std::vector< double >	transProfile_m

PlanarArcGeometry	planarArcGeometry_m

double	length_m

double	angle_m

double	entranceAngle_m

double	rotation_m

bool	variableRadius_m

double	boundingBoxLength_m

double	verticalApert_m

double	horizApert_m

BMultipoleField	dummy

Additional Inherited Members
Public Types inherited from ElementBase
enum	ApertureType { RECTANGULAR, ELLIPTICAL, CONIC_RECTANGULAR, CONIC_ELLIPTICAL }

enum	ElementType { ALIGNWRAPPER, BEAMBEAM, BEAMBEAM3D, BEAMLINE, BEAMSTRIPPING, CCOLLIMATOR, CORRECTOR, CORRECTORWRAPPER, CYCLOTRON, CYCLOTRONWRAPPER, CYCLOTRONVALLEY, DEGRADER, DIAGNOSTIC, DRIFT, FLEXIBLECOLLIMATOR, INTEGRATOR, LAMBERTSON, MARKER, MONITOR, MPSPLITINTEGRATOR, MULTIPOLE, MULTIPOLET, MULTIPOLEWRAPPER, OFFSET, PARALLELPLATE, PATCH, PROBE, RBEND, RBEND3D, RBENDWRAPPER, RFCAVITY, RFQUADRUPOLE, RING, SBEND3D, SBEND, SBENDWRAPPER, SEPARATOR, SEPTUM, SOLENOID, SOURCE, STRIPPER, TRAVELINGWAVE, VARIABLERFCAVITY, ANY }

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

Protected Member Functions inherited from ElementBase
bool	isInsideTransverse (const Vector_t &r, double f=1) 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

MultipoleT defines a straight or curved combined function magnet (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 89 of file MultipoleT.h.

Constructor & Destructor Documentation

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

explicit

Constructor

Parameters

name	-> User-defined name

Definition at line 40 of file MultipoleT.cpp.

Referenced by clone().

MultipoleT::MultipoleT ( const MultipoleT & right )

Copy constructor

Definition at line 58 of file MultipoleT.cpp.

References Component::RefPartBunch_m.

MultipoleT::~MultipoleT ( )

Destructor

Definition at line 81 of file MultipoleT.cpp.

Member Function Documentation

void MultipoleT::accept ( BeamlineVisitor & visitor ) const

overridevirtual

Accept a beamline visitor

Implements ElementBase.

Definition at line 403 of file MultipoleT.cpp.

References BeamlineVisitor::visitMultipoleT().

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

overridevirtual

Calculate the field at some arbitrary position If particle is outside field map true is returned, otherwise false is returned

Parameters

R	-> Position in the lab coordinate system of the multipole
P	-> Not used
t	-> Time at which the field is to be calculated
E	-> Calculated electric field - always 0 (no E-field)
B	-> Calculated magnetic field

Rotate coordinates around the central axis of the magnet

If magnet is not straight go to local Frenet-Serret coordinates

Transform B-field from local to lab coordinates

Reimplemented from Component.

Definition at line 94 of file MultipoleT.cpp.

References angle_m, cos(), cosh(), fringeField_l, fringeField_r, getBs(), getBx(), getBz(), endfieldmodel::Tanh::getLambda(), endfieldmodel::Tanh::getX0(), insideAperture(), length_m, log(), rotateFrame(), sin(), tanh(), transformCoords(), variableRadius_m, and X.

Referenced by apply().

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

overridevirtual

Calculate the field at the position of the ith particle

Parameters

i	-> Index of the particle event override; field is calculated at this position If particle is outside field map true is returned, otherwise false is returned
t	-> Time at which the field is to be calculated
E	-> Calculated electric field - always 0 (no E-field)
B	-> Calculated magnetic field

Reimplemented from Component.

Definition at line 135 of file MultipoleT.cpp.

References apply(), PartBunchBase< T, Dim >::P, PartBunchBase< T, Dim >::R, and Component::RefPartBunch_m.

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bool MultipoleT::bends ( ) const

overridevirtual

Return true if dipole component not zero

Implements Component.

Definition at line 544 of file MultipoleT.cpp.

References transProfile_m.

ElementBase * MultipoleT::clone ( ) const

overridevirtual

Inheritable copy constructor

Implements ElementBase.

Definition at line 84 of file MultipoleT.cpp.

References initialise(), and MultipoleT().

Referenced by ParallelCyclotronTracker::visitMultipoleT().

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void MultipoleT::finalise ( )

overridevirtual

Finalise the MultipoleT - sets bunch to NULL

Implements Component.

Definition at line 90 of file MultipoleT.cpp.

References Component::RefPartBunch_m.

std::vector< double > MultipoleT::getAperture ( ) const

Get the aperture dimensions Returns a vector of 2 doubles

Definition at line 415 of file MultipoleT.cpp.

References horizApert_m, and verticalApert_m.

Referenced by OpalMultipoleT::fillRegisteredAttributes().

double MultipoleT::getBendAngle ( ) const

inline

Get the bending angle of the magnet

Definition at line 418 of file MultipoleT.h.

References angle_m.

double MultipoleT::getBendRadius ( ) const

Get the bending radius
Not used, when needed radius is found from length_m / angle_m

double MultipoleT::getBoundingBoxLength ( ) const

inline

Get distance between centre of magnet and entrance

Definition at line 430 of file MultipoleT.h.

References boundingBoxLength_m.

Referenced by OpalMultipoleT::fillRegisteredAttributes().

double MultipoleT::getBs ( const Vector_t & R )

private

Returns the component of the field along the central axis 1/h_s * sum_n z^(2n+1) / (2n+1)! f_n

Definition at line 319 of file MultipoleT.cpp.

References angle_m, Physics::e, getFnDerivS(), getFringeDeriv(), getScaleFactor(), getTransDeriv(), maxOrder_m, Hypervolume::n, and variableRadius_m.

Referenced by apply().

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double MultipoleT::getBx ( const Vector_t & R )

private

Get field component methods

Returns the radial component of the field sum_n z^(2n+1) / (2n+1)! * f_n

Definition at line 286 of file MultipoleT.cpp.

References angle_m, Physics::e, getFnDerivX(), getFringeDeriv(), getTransDeriv(), maxOrder_m, Hypervolume::n, and variableRadius_m.

Referenced by apply().

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double MultipoleT::getBz ( const Vector_t & R )

private

Returns the vertical field component sum_n f_n * z^(2n) / (2n)!

Definition at line 255 of file MultipoleT.cpp.

References angle_m, Physics::e, getFn(), getFringeDeriv(), getTransDeriv(), maxOrder_m, Hypervolume::n, and variableRadius_m.

Referenced by apply().

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double MultipoleT::getChordLength ( ) const

Not used

void MultipoleT::getDimensions	(	double &	zBegin,
		double &	zEnd
	)		const

overridevirtual

Not implemented

Implements Component.

Definition at line 407 of file MultipoleT.cpp.

double MultipoleT::getDipoleConstant ( ) const

inline

Get the dipole constant B_0

Definition at line 379 of file MultipoleT.h.

References transProfile_m.

double MultipoleT::getEntranceAngle ( ) const

inline

Get the entrance angle

Definition at line 367 of file MultipoleT.h.

References entranceAngle_m.

Referenced by OpalMultipoleT::fillRegisteredAttributes().

EMField & MultipoleT::getField ( )

overridevirtual

Return a dummy field value

Implements Component.

Definition at line 556 of file MultipoleT.cpp.

References dummy.

const EMField & MultipoleT::getField ( ) const

overridevirtual

Return a dummy field value

Implements Component.

Definition at line 560 of file MultipoleT.cpp.

References dummy.

double MultipoleT::getFn	(	std::size_t	n,
		double	x,
		double	s
	)

private

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

Definition at line 477 of file MultipoleT.cpp.

References angle_m, getFringeDeriv(), getTransDeriv(), length_m, recursion_ConstRadius_m, recursion_VarRadius_m, and variableRadius_m.

Referenced by getBz(), getFnDerivS(), and getFnDerivX().

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double MultipoleT::getFnDerivS	(	std::size_t	n,
		double	x,
		double	s
	)

private

Calculate partial derivative of fn wrt s using a 5-point finite difference formuln Error of order stepSize^4

Parameters

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

Definition at line 463 of file MultipoleT.cpp.

References Physics::e, getFn(), getFringeDeriv(), and getTransDeriv().

Referenced by getBs().

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double MultipoleT::getFnDerivX	(	std::size_t	n,
		double	x,
		double	s
	)

private

Calculate partial derivative of fn wrt x using a 5-point finite difference formula
Error of order stepSize^4

Parameters

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

Definition at line 449 of file MultipoleT.cpp.

References Physics::e, getFn(), getFringeDeriv(), and getTransDeriv().

Referenced by getBx().

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double MultipoleT::getFringeDeriv	(	int	n,
		double	s
	)

private

Returns the value of the fringe field n-th derivative at s

Parameters

n	-> nth derivative
s	-> Coordinate s

Definition at line 353 of file MultipoleT.cpp.

References fringeField_l, fringeField_r, endfieldmodel::Tanh::getNegTanh(), endfieldmodel::Tanh::getTanh(), tanhderiv::integrate(), and Hypervolume::n.

Referenced by getBs(), getBx(), getBz(), getFn(), getFnDerivS(), getFnDerivX(), and getRadius().

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std::vector< double > MultipoleT::getFringeLength ( ) const

Return vector of 2 doubles [left fringe length, right fringelength]

Definition at line 422 of file MultipoleT.cpp.

References fringeField_l, fringeField_r, and endfieldmodel::Tanh::getLambda().

Referenced by OpalMultipoleT::fillRegisteredAttributes().

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PlanarArcGeometry & MultipoleT::getGeometry ( )

overridevirtual

Return the cell geometry

Implements ElementBase.

Definition at line 548 of file MultipoleT.cpp.

References planarArcGeometry_m.

const PlanarArcGeometry & MultipoleT::getGeometry ( ) const

overridevirtual

Return the cell geometry

Implements ElementBase.

Definition at line 552 of file MultipoleT.cpp.

References planarArcGeometry_m.

double MultipoleT::getLength ( ) const

inline

Get the length of the magnet

Definition at line 426 of file MultipoleT.h.

References length_m.

std::size_t MultipoleT::getMaxOrder ( ) const

inline

Get the number of terms used in calculation of field components

Definition at line 383 of file MultipoleT.h.

References maxOrder_m.

Referenced by OpalMultipoleT::fillRegisteredAttributes().

std::size_t MultipoleT::getMaxXOrder ( ) const

inline

Get highest power of x in polynomial expansions

Definition at line 388 of file MultipoleT.h.

References maxOrderX_m.

Referenced by OpalMultipoleT::fillRegisteredAttributes().

double MultipoleT::getRadius ( double s )

private

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

Parameters

s	-> Coordinate s

Definition at line 429 of file MultipoleT.cpp.

References angle_m, getFringeDeriv(), length_m, and variableRadius_m.

Referenced by getScaleFactor().

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double MultipoleT::getRotation ( ) const

inline

Get the angle of rotation of the magnet around its axis

Definition at line 406 of file MultipoleT.h.

References rotation_m.

Referenced by OpalMultipoleT::fillRegisteredAttributes().

double MultipoleT::getScaleFactor	(	double	x,
		double	s
	)

private

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

Parameters

x	-> Coordinate x
s	-> Coordinate s

Definition at line 441 of file MultipoleT.cpp.

References angle_m, getRadius(), length_m, and variableRadius_m.

Referenced by getBs().

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double MultipoleT::getTransDeriv	(	std::size_t	n,
		double	x
	)

private

Returns the value of the transverse field n-th derivative at x

Parameters

n	-> nth derivative
x	-> Coordinate x

Sets a vector of the coefficients in the polynomial expansion of transverse profile; shifts them to the left and multiply by corresponding power each time to take derivative once; repeats until desired derivative is reached

Definition at line 366 of file MultipoleT.cpp.

References Hypervolume::n, transMaxOrder_m, and transProfile_m.

Referenced by getBs(), getBx(), getBz(), getFn(), getFnDerivS(), and getFnDerivX().

std::size_t MultipoleT::getTransMaxOrder ( ) const

inline

Get the maximum order in the given transverse profile

Definition at line 397 of file MultipoleT.h.

References transMaxOrder_m.

Referenced by OpalMultipoleT::fillRegisteredAttributes().

double MultipoleT::getTransProfile ( int n ) const

inline

Get transverse profile

Parameters

n	-> Power of x

Definition at line 371 of file MultipoleT.h.

References Hypervolume::n, and transProfile_m.

Referenced by OpalMultipoleT::fillRegisteredAttributes().

std::vector< double > MultipoleT::getTransProfile ( ) const

inline

Get all terms of transverse profile

Definition at line 375 of file MultipoleT.h.

References transProfile_m.

bool MultipoleT::getVarRadius ( ) const

inline

Get the value of variableRadius_m

Definition at line 359 of file MultipoleT.h.

References variableRadius_m.

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

overridevirtual

Initialise the MultipoleT

Parameters

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

Implements Component.

Definition at line 537 of file MultipoleT.cpp.

References initialise(), and Component::RefPartBunch_m.

Referenced by clone(), and OpalMultipoleT::update().

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void MultipoleT::initialise ( )

Initialises the geometry

Definition at line 532 of file MultipoleT.cpp.

References angle_m, boundingBoxLength_m, length_m, planarArcGeometry_m, PlanarArcGeometry::setCurvature(), and PlanarArcGeometry::setElementLength().

Referenced by initialise().

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bool MultipoleT::insideAperture ( const Vector_t & R )

private

Tests if inside the magnet

Parameters

R	-> Coordinate vector

Definition at line 172 of file MultipoleT.cpp.

References abs(), horizApert_m, and verticalApert_m.

Referenced by apply().

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

private

Vector_t MultipoleT::rotateFrame ( const Vector_t & R )

private

Rotate frame for skew elements Consecutive rotations: 1st -> about central axis 2nd -> azimuthal rotation

Parameters

R	-> Vector to be rotated

Apply two 2D rotation matrices to coordinate vector Rotate around central axis => skew fields Rotate azymuthaly => entrance angle

Definition at line 140 of file MultipoleT.cpp.

References cos(), entranceAngle_m, rotation_m, and sin().

Referenced by apply().

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Vector_t MultipoleT::rotateFrameInverse ( Vector_t & B )

private

Inverse of the 1st rotation in rotateFrame() method
Used to rotate B field back to global coordinate system

This function represents the inverse of the rotation around the central axis performed by rotateFrame() method Used to rotate B field back to global coordinate system

Definition at line 160 of file MultipoleT.cpp.

References cos(), rotation_m, and sin().

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void MultipoleT::setAperture	(	double	vertAp,
		double	horizAp
	)

Set the aperture dimensions This element only supports a rectangular aperture

Parameters

vertAp	-> Vertical aperture length
horizAp	-> Horisontal aperture length

Definition at line 410 of file MultipoleT.cpp.

References horizApert_m, and verticalApert_m.

Referenced by OpalMultipoleT::update().

void MultipoleT::setBendAngle ( double angle )

inline

Set the bending angle of the magnet

Definition at line 414 of file MultipoleT.h.

References angle_m.

Referenced by OpalMultipoleT::update().

void MultipoleT::setBoundingBoxLength ( const double & boundingBoxLength )

inline

Set distance between centre of magnet and enctrance

Parameters

boundingBoxLength -> Distance between centre and entrance

Definition at line 434 of file MultipoleT.h.

References boundingBoxLength_m.

Referenced by OpalMultipoleT::update().

void MultipoleT::setDipoleConstant ( double B0 )

Set the dipole constant B_0

Definition at line 396 of file MultipoleT.cpp.

References transMaxOrder_m, and transProfile_m.

void MultipoleT::setEntranceAngle ( double entranceAngle )

inline

Set the entrance angle

Parameters

entranceAngle -> Entrance angle

Definition at line 363 of file MultipoleT.h.

References entranceAngle_m.

Referenced by OpalMultipoleT::update().

bool MultipoleT::setFringeField	(	double	s0,
		double	lambda_left,
		double	lambda_right
	)

Set fringe field model
Tanh model used here

\[ 1/2 * \left [tanh \left( \frac{s + s_0}{\lambda_{left}} \right) - tanh \left( \frac{s - s_0}{\lambda_{right}} \right) \right] \]

Parameters

s0	-> Centre field length
\lambda_{left}	-> Left end field length
\lambda_{right}	-> Right end field length

Definition at line 243 of file MultipoleT.cpp.

References fringeField_l, fringeField_r, and maxOrder_m.

Referenced by OpalMultipoleT::update().

void MultipoleT::setLength ( double length )

inline

Set the length of the magnet
If straight-> Actual length
If curved -> Arc length

Definition at line 422 of file MultipoleT.h.

References abs(), and length_m.

Referenced by OpalMultipoleT::update().

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void MultipoleT::setMaxOrder ( std::size_t maxOrder )

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

Definition at line 212 of file MultipoleT.cpp.

References angle_m, maxOrder_m, maxOrderX_m, recursion_ConstRadius_m, recursion_VarRadius_m, polynomial::RecursionRelation::resizeX(), polynomial::RecursionRelationTwo::resizeX(), transMaxOrder_m, polynomial::RecursionRelation::truncate(), polynomial::RecursionRelationTwo::truncate(), and variableRadius_m.

Referenced by OpalMultipoleT::update().

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void MultipoleT::setMaxXOrder ( 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 393 of file MultipoleT.h.

References maxOrderX_m.

Referenced by OpalMultipoleT::update().

void MultipoleT::setRotation ( double rot )

inline

Set the angle of rotation of the magnet around its axis
To make skew components

Parameters

rot	-> Angle of rotation

Definition at line 410 of file MultipoleT.h.

References rotation_m.

Referenced by OpalMultipoleT::update().

void MultipoleT::setTransMaxOrder ( std::size_t transMaxOrder )

inline

Set the maximum order in the given transverse profile

Parameters

transMaxOrder -> Highest power of x in field expansion

Definition at line 401 of file MultipoleT.h.

References transMaxOrder_m, and transProfile_m.

Referenced by OpalMultipoleT::update().

void MultipoleT::setTransProfile	(	std::size_t	n,
		double	Bn
	)

Set transverse profile T(x) T(x) = B_0 + B1 x + B2 x^2 + B3 x^3 + ...

Parameters

n	-> Order of the term (d^n/dx^n) to be set
Bn	-> Value of transverse profile coefficient

Definition at line 235 of file MultipoleT.cpp.

References Hypervolume::n, transMaxOrder_m, and transProfile_m.

Referenced by OpalMultipoleT::update().

void MultipoleT::setVarRadius ( )

inline

Set variable radius flag to true

Definition at line 355 of file MultipoleT.h.

References variableRadius_m.

Referenced by OpalMultipoleT::update().

Vector_t MultipoleT::transformCoords ( const Vector_t & R )

private

Transform to Frenet-Serret coordinates for sector magnets

Definition at line 181 of file MultipoleT.cpp.

References Physics::alpha, angle_m, atan(), fringeField_l, fringeField_r, endfieldmodel::Tanh::getLambda(), coordinatetransform::CoordinateTransform::getTransformation(), endfieldmodel::Tanh::getX0(), length_m, sin(), variableRadius_m, and X.

Referenced by apply().

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Member Data Documentation

double MultipoleT::angle_m

private

Definition at line 283 of file MultipoleT.h.

Referenced by apply(), getBendAngle(), getBs(), getBx(), getBz(), getFn(), getRadius(), getScaleFactor(), initialise(), setBendAngle(), setMaxOrder(), and transformCoords().

double MultipoleT::boundingBoxLength_m

private

Distance between centre of magnet and entrance

Definition at line 289 of file MultipoleT.h.

Referenced by getBoundingBoxLength(), initialise(), and setBoundingBoxLength().

BMultipoleField MultipoleT::dummy

private

Not implemented

Definition at line 299 of file MultipoleT.h.

Referenced by getField().

double MultipoleT::entranceAngle_m

private

Definition at line 284 of file MultipoleT.h.

Referenced by getEntranceAngle(), rotateFrame(), and setEntranceAngle().

endfieldmodel::Tanh MultipoleT::fringeField_l

private

Definition at line 251 of file MultipoleT.h.

Referenced by apply(), getFringeDeriv(), getFringeLength(), setFringeField(), and transformCoords().

endfieldmodel::Tanh MultipoleT::fringeField_r

private

Definition at line 252 of file MultipoleT.h.

Referenced by apply(), getFringeDeriv(), getFringeLength(), setFringeField(), and transformCoords().

double MultipoleT::horizApert_m

private

Definition at line 297 of file MultipoleT.h.

Referenced by getAperture(), insideAperture(), and setAperture().

double MultipoleT::length_m

private

Magnet parameters

Definition at line 282 of file MultipoleT.h.

Referenced by apply(), getFn(), getLength(), getRadius(), getScaleFactor(), initialise(), setLength(), and transformCoords().

std::size_t MultipoleT::maxOrder_m = 0

private

Field expansion parameters
Number of terms in z expansion used in calculating field components

Definition at line 256 of file MultipoleT.h.

Referenced by getBs(), getBx(), getBz(), getMaxOrder(), setFringeField(), and setMaxOrder().

std::size_t MultipoleT::maxOrderX_m = 0

private

Highest order of polynomial expansions in x

Definition at line 258 of file MultipoleT.h.

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

PlanarArcGeometry MultipoleT::planarArcGeometry_m

private

Geometry

Definition at line 267 of file MultipoleT.h.

Referenced by getGeometry(), and initialise().

std::vector<polynomial::RecursionRelation> MultipoleT::recursion_ConstRadius_m

private

Definition at line 261 of file MultipoleT.h.

Referenced by getFn(), and setMaxOrder().

std::vector<polynomial::RecursionRelationTwo> MultipoleT::recursion_VarRadius_m

private

Objects for storing differential operator acting on Fn

Definition at line 260 of file MultipoleT.h.

Referenced by getFn(), and setMaxOrder().

double MultipoleT::rotation_m

private

Definition at line 285 of file MultipoleT.h.

Referenced by getRotation(), rotateFrame(), rotateFrameInverse(), and setRotation().

std::size_t MultipoleT::transMaxOrder_m = 0

private

Highest power in given mid-plane field

Definition at line 263 of file MultipoleT.h.

Referenced by getTransDeriv(), getTransMaxOrder(), setDipoleConstant(), setMaxOrder(), setTransMaxOrder(), and setTransProfile().

std::vector<double> MultipoleT::transProfile_m

private

List of transverse profile coefficients

Definition at line 265 of file MultipoleT.h.

Referenced by bends(), getDipoleConstant(), getTransDeriv(), getTransProfile(), setDipoleConstant(), setTransMaxOrder(), and setTransProfile().

bool MultipoleT::variableRadius_m

private

Variable radius flag

Definition at line 287 of file MultipoleT.h.

Referenced by apply(), getBs(), getBx(), getBz(), getFn(), getRadius(), getScaleFactor(), getVarRadius(), setMaxOrder(), setVarRadius(), and transformCoords().

double MultipoleT::verticalApert_m

private

Assume rectangular aperture with these dimensions

Definition at line 296 of file MultipoleT.h.

Referenced by getAperture(), insideAperture(), and setAperture().

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

src/Classic/AbsBeamline/MultipoleT.h
src/Classic/AbsBeamline/MultipoleT.cpp

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