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

Detailed Description

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

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

Given a uniform magnetic field along the z axis, \(B = (0, 0, B_z)\), the motion of a charged particle is described by a helix trajectory. For this algorithm, the radius of the helix, \(R = \frac{m v}{q B_z}\) and the helicity, defined as \( -\sgn(q B_z)\), are evaluated through the right hand side of the ODE equation where \( q \) is the charge of the particle.

The midpoint and endpoint states are calculated analytically.

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

• ZHelixIntegrator.hh