Particle point class for cylindrical coordinates. More...

#include <particles.hpp>

Inheritance diagram for ParticlePCyl:

Public Member Functions
	ParticlePCyl ()
	Default constuctor.
	ParticlePCyl (double t, double x, double vx, double r, double vr, double w)
	Constructor for cylindrical particle point.
Vec3D	location () const
	Returns the location of particle point in Vec3D.
Vec3D	velocity () const
	Returns the velocity of particle point in Vec3D.
double	speed ()
	Returns speed of particle.
double &	operator[] (int i)
	Operator for pointing to coordinate data.
const double &	operator[] (int i) const
	Operator for pointing to coordinate data.
double &	operator() (int i)
	Operator for pointing to coordinate data.
const double &	operator() (int i) const
	Operator for pointing to coordinate data.
ParticlePCyl	operator+ (const ParticlePCyl &pp) const
ParticlePCyl	operator- (const ParticlePCyl &pp) const
ParticlePCyl	operator* (double x) const
Static Public Member Functions
static geom_mode_e	geom_mode ()
	Returns geometry mode.
static size_t	dim ()
	Returns number of dimensions for geometry.
static size_t	size ()
	Returns number of coordinates used for particle point.
static int	get_derivatives (double t, const double x, double dxdt, void *data)
	Returns time derivatives dxdt of coordinates at time t and coordinates x = (x,vx,r,vr,w) for one particle.
static int	trajectory_intersections_at_plane (std::vector< ParticlePCyl > &intsc, int crd, double val, const ParticlePCyl &x1, const ParticlePCyl &x2)
	Return the number of trajectory intersections with plane crd = val on the trajectory from x1 to x2. Intersection points are appended to vector intsc.
Friends
ParticlePCyl	operator* (double x, const ParticlePCyl &pp)

Detailed Description

Particle point class for cylindrical coordinates.

A collection of particle coordinates (t,x,vx,y,vy,w) to describe time, location and velocity in cylindrical coordinates.

Constructor & Destructor Documentation

ParticlePCyl::ParticlePCyl ( ) [inline]

Default constuctor.

ParticlePCyl::ParticlePCyl	(	double	t,
		double	x,
		double	vx,
		double	r,
		double	vr,
		double	w
	)			`[inline]`

Constructor for cylindrical particle point.

Member Function Documentation

static size_t ParticlePCyl::dim ( void ) [inline, static]

Returns number of dimensions for geometry.

static geom_mode_e ParticlePCyl::geom_mode ( void ) [inline, static]

Returns geometry mode.

static int ParticlePCyl::get_derivatives	(	double	t,
		const double *	x,
		double *	dxdt,
		void *	data
	)			`[static]`

Returns time derivatives dxdt of coordinates at time t and coordinates x = (x,vx,r,vr,w) for one particle.

The calculation of particle trajectory is done by integrating the Lorentz equation in a form of a set of ordinary differential equations. In the case of cylindrical coordinates the set is:

$\begin{eqnarray*} \frac{dx}{dt} &=& v_x \\ \frac{dr}{dt} &=& v_r \\ \frac{dv_x}{dt} &=& a_x = \frac{q}{m}(E_x + v_r B_{\theta} - v_\theta B_r) \\ \frac{dv_r}{dt} &=& a_r + r\left(\frac{d\theta}{dt}\right)^2 = \frac{q}{m}(E_y + v_{\theta} B_x - v_x B_{\theta}) + r \left(\frac{d\theta}{dt}\right)^2 \\ \frac{d^2\theta}{dt^2} &=& \frac{1}{r} \left(a_\theta-\frac{dr}{dt} \frac{d\theta}{dt}\right) = \frac{1}{r} \left(\frac{q}{m}(v_x B_r - v_r B_x)-2 \frac{dr}{dt} \frac{d\theta}{dt}\right), \end{eqnarray*}$

where $v_\theta = r \frac{d\theta}{dt}$ .

Vec3D ParticlePCyl::location ( ) const [inline]

Returns the location of particle point in Vec3D.

double& ParticlePCyl::operator() ( int i ) [inline]

Operator for pointing to coordinate data.

const double& ParticlePCyl::operator() ( int i ) const [inline]

Operator for pointing to coordinate data.

ParticlePCyl ParticlePCyl::operator* ( double x ) const [inline]

ParticlePCyl ParticlePCyl::operator+ ( const ParticlePCyl & pp ) const [inline]

ParticlePCyl ParticlePCyl::operator- ( const ParticlePCyl & pp ) const [inline]

double& ParticlePCyl::operator[] ( int i ) [inline]

Operator for pointing to coordinate data.

const double& ParticlePCyl::operator[] ( int i ) const [inline]

Operator for pointing to coordinate data.

static size_t ParticlePCyl::size ( void ) [inline, static]

Returns number of coordinates used for particle point.

double ParticlePCyl::speed ( ) [inline]

Returns speed of particle.

static int ParticlePCyl::trajectory_intersections_at_plane	(	std::vector< ParticlePCyl > &	intsc,
		int	crd,
		double	val,
		const ParticlePCyl &	x1,
		const ParticlePCyl &	x2
	)			`[static]`

Return the number of trajectory intersections with plane crd = val on the trajectory from x1 to x2. Intersection points are appended to vector intsc.

Vec3D ParticlePCyl::velocity ( ) const [inline]

Returns the velocity of particle point in Vec3D.

Friends And Related Function Documentation

ParticlePCyl operator*	(	double	x,
		const ParticlePCyl &	pp
	)			`[friend]`

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

particles.hpp

Reference manual for Ion Beam Simulator 1.0.4
Generated by Doxygen 1.7.1 on Wed Apr 13 2011 23:25:37.

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ParticlePCyl Class Reference

Public Member Functions

Static Public Member Functions

Friends

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation