flat exponential density distribution with
\[ \varrho(r) = \varrho_0 \exp\left( \frac{1}{\lambda} (r - p) \cdot \vec{a} \right). \]
\( \vec{a} \) denotes the axis and should be normalized to avoid degeneracy with the scale parameter \( \lambda \). More...
#include <FlatExponential.hpp>
Public Member Functions | |
| FlatExponential (Point const &point, Vector< dimensionless_d > const &axis, MassDensityType rho, LengthType lambda, NuclearComposition const &nuclComp) | |
| 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 grammage) const override |
 Public Member Functions inherited from corsika::BaseExponential< FlatExponential< T > > | |
| BaseExponential (Point const &point, LengthType const referenceHeight, MassDensityType rho0, LengthType lambda) | |
| Point const & | getAnchorPoint () const |
Additional Inherited Members | |
| Protected Member Functions inherited from corsika::BaseExponential< FlatExponential< T > > | |
| auto const & | getImplementation () const |
| MassDensityType | getMassDensity (LengthType const height) const |
| 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 \[ X = \frac{\varrho_0 \lambda}{\vec{u} \cdot \vec{a}} \left( \exp\left( \vec{u} \cdot \vec{a} \frac{l}{\lambda} \right) - 1 \right) \] , where \( \varrho_0 \) is the density at the starting point. More... | |
| LengthType | getArclengthFromGrammage (BaseTrajectory const &line, GrammageType 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 \[ l = \begin{cases} \frac{\lambda}{\vec{u} \cdot \vec{a}} \log\left(Y \right), & \text{if} Y := 0 > 1 + \vec{u} \cdot \vec{a} \frac{X}{\rho_0 \lambda} \infty & \text{else,} \end{cases} \] where \( \varrho_0 \) is the density at the starting point. More... | |
Detailed Description
template<typename T>
class corsika::FlatExponential< T >
flat exponential density distribution with
\[ \varrho(r) = \varrho_0 \exp\left( \frac{1}{\lambda} (r - p) \cdot \vec{a} \right). \]
\( \vec{a} \) denotes the axis and should be normalized to avoid degeneracy with the scale parameter \( \lambda \).
Definition at line 32 of file FlatExponential.hpp.
The documentation for this class was generated from the following file:
- corsika/media/FlatExponential.hpp
