celeritas::ZHelixIntegrator< EquationT > Class Template Reference

Analytically step along a helical path for a uniform Z magnetic field. More...

#include <ZHelixIntegrator.hh>

Public Types
Type aliases
using	result_type = FieldIntegration

Public Member Functions
CELER_FUNCTION	ZHelixIntegrator (EquationT &&eq)
	Construct with the equation of motion.
CELER_FUNCTION auto	operator() (real_type step, OdeState const &beg_state) const -> result_type
	An explicit helix stepper with analytical solutions at the end and the middle point for a given step.

Detailed Description

template<class EquationT>
class celeritas::ZHelixIntegrator< EquationT >

Analytically step along a helical path for a uniform Z magnetic field.

The analytical solution for the motion of a charged particle in a uniform magnetic field along the z-direction.

Member Function Documentation

operator()()

template<class E >

CELER_FUNCTION auto celeritas::ZHelixIntegrator< E >::operator()	(	real_type	step,
		OdeState const &	beg_state
	)		const -> result_type

An explicit helix stepper with analytical solutions at the end and the middle point for a given step.

Assuming that the magnetic field is uniform and chosen to be parallel to the z-axis, \(B = (0, 0, B_z)\), without loss of generality, the motion of a charged particle is described by a helix trajectory. For this algorithm, the radius of the helix, \(R = m gamma v/(qB)\) and the helicity, defined as \( -sign(q B_z)\) are evaluated through the right hand side of the ODE equation where q is the charge of the particle.

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

• ZHelixIntegrator.hh