Particle point class for 2D. More...

#include <particles.hpp>

Inheritance diagram for ParticleP2D:

Public Member Functions
	ParticleP2D ()
	Default constuctor.
	ParticleP2D (double t, double x, double vx, double y, double vy)
	Constructor for 2D 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.
ParticleP2D	operator+ (const ParticleP2D &pp) const
ParticleP2D	operator- (const ParticleP2D &pp) const
ParticleP2D	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,y,vy) for one particle.
static int	trajectory_intersections_at_plane (std::vector< ParticleP2D > &intsc, int crd, double val, const ParticleP2D &x1, const ParticleP2D &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
ParticleP2D	operator* (double x, const ParticleP2D &pp)

Detailed Description

Particle point class for 2D.

A collection of particle coordinates (t,x,vx,y,vy) to describe time, location and velocity in 2D.

Constructor & Destructor Documentation

ParticleP2D::ParticleP2D ( ) [inline]

Default constuctor.

ParticleP2D::ParticleP2D	(	double	t,
		double	x,
		double	vx,
		double	y,
		double	vy
	)			`[inline]`

Constructor for 2D particle point.

Member Function Documentation

static size_t ParticleP2D::dim ( void ) [inline, static]

Returns number of dimensions for geometry.

static geom_mode_e ParticleP2D::geom_mode ( void ) [inline, static]

Returns geometry mode.

static int ParticleP2D::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,y,vy) 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 2D the set is:

$\begin{eqnarray*} \frac{dx}{dt} &=& v_x \\ \frac{dy}{dt} &=& v_y \\ \frac{dv_x}{dt} &=& a_x = \frac{q}{m}(E_x + v_y B_z) \\ \frac{dv_y}{dt} &=& a_y = \frac{q}{m}(E_y - v_x B_z) \end{eqnarray*}$

Vec3D ParticleP2D::location ( ) const [inline]

Returns the location of particle point in Vec3D.

double& ParticleP2D::operator() ( int i ) [inline]

Operator for pointing to coordinate data.

const double& ParticleP2D::operator() ( int i ) const [inline]

Operator for pointing to coordinate data.

ParticleP2D ParticleP2D::operator* ( double x ) const [inline]

ParticleP2D ParticleP2D::operator+ ( const ParticleP2D & pp ) const [inline]

ParticleP2D ParticleP2D::operator- ( const ParticleP2D & pp ) const [inline]

double& ParticleP2D::operator[] ( int i ) [inline]

Operator for pointing to coordinate data.

const double& ParticleP2D::operator[] ( int i ) const [inline]

Operator for pointing to coordinate data.

static size_t ParticleP2D::size ( void ) [inline, static]

Returns number of coordinates used for particle point.

double ParticleP2D::speed ( ) [inline]

Returns speed of particle.

static int ParticleP2D::trajectory_intersections_at_plane	(	std::vector< ParticleP2D > &	intsc,
		int	crd,
		double	val,
		const ParticleP2D &	x1,
		const ParticleP2D &	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 ParticleP2D::velocity ( ) const [inline]

Returns the velocity of particle point in Vec3D.

Friends And Related Function Documentation

ParticleP2D operator*	(	double	x,
		const ParticleP2D &	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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ParticleP2D Class Reference

Public Member Functions

Static Public Member Functions

Friends

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation