The SlidingPlanarExponential models mass density as:
\[ \varrho(r) = \varrho_0 \exp\left( \frac{|p_0 - r|}{\lambda} \right). \]
For grammage/length conversion, the density distribution is approximated as locally flat at the starting point \( r_0 \) of the trajectory with the axis pointing from \( p_0 \) to \( r_0 \). More...
#include <SlidingPlanarExponential.hpp>
Public Member Functions | |
| SlidingPlanarExponential (Point const &p0, MassDensityType const rho0, LengthType const lambda, NuclearComposition const &nuclComp, LengthType const referenceHeight=LengthType::zero()) | |
| MassDensityType | getMassDensity (Point const &point) const override |
| NuclearComposition const & | getNuclearComposition () const override |
| GrammageType | getIntegratedGrammage (BaseTrajectory const &line) const override |
| LengthType | getArclengthFromGrammage (BaseTrajectory const &line, GrammageType const grammage) const override |
 Public Member Functions inherited from corsika::BaseExponential< SlidingPlanarExponential< T > > | |
| BaseExponential (Point const &point, LengthType const referenceHeight, MassDensityType const rho0, LengthType const lambda) | |
| Point const & | getAnchorPoint () const |
Additional Inherited Members | |
| Protected Member Functions inherited from corsika::BaseExponential< SlidingPlanarExponential< T > > | |
| auto const & | getImplementation () const |
| MassDensityType | getMassDensity (LengthType const height) const |
| Returns the mass density at altitude "height". More... | |
| GrammageType | getIntegratedGrammage (BaseTrajectory const &line, DirectionVector const &axis) const |
| For a (normalized) axis \( \vec{a} \), the grammage along a non-orthogonal line with (normalized) direction \( \vec{u} \) is given by: \[ X = \frac{\varrho_0 \lambda}{\vec{u} \cdot \vec{a}} \left( \exp\left( \vec{u} \cdot \vec{a} \frac{l}{\lambda} \right) - 1 \right) \quad \text{,} \] where \( \varrho_0 \) is the density at the starting point. More... | |
| LengthType | getArclengthFromGrammage (BaseTrajectory const &line, GrammageType const grammage, DirectionVector const &axis) const |
| For a (normalized) axis \( \vec{a} \), the length of a non-orthogonal line with (normalized) direction \( \vec{u} \) corresponding to grammage \( X \) is given by: \[ l = \begin{cases} \frac{\lambda}{\vec{u} \cdot \vec{a}} \log\left(Y \right), & \text{if} & Y := 1 + \vec{u} \cdot \vec{a} \frac{X}{\rho_0 \lambda} > 0 \\ \infty & \text{else} & \text{,} \end{cases} \] where \( \varrho_0 \) is the density at the starting point. More... | |
Detailed Description
template<typename T>
class corsika::SlidingPlanarExponential< T >
The SlidingPlanarExponential models mass density as:
\[ \varrho(r) = \varrho_0 \exp\left( \frac{|p_0 - r|}{\lambda} \right). \]
For grammage/length conversion, the density distribution is approximated as locally flat at the starting point \( r_0 \) of the trajectory with the axis pointing from \( p_0 \) to \( r_0 \).
Definition at line 34 of file SlidingPlanarExponential.hpp.
The documentation for this class was generated from the following file:
- corsika/media/SlidingPlanarExponential.hpp
