This class provides the grammage/length conversion functionality for (locally) flat exponential atmospheres. More...
#include <BaseExponential.hpp>
Public Member Functions | |
| BaseExponential (Point const &point, LengthType const referenceHeight, MassDensityType rho0, LengthType lambda) | |
| Point const & | getAnchorPoint () const |
Protected Member Functions | |
| 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 TDerived>
class corsika::BaseExponential< TDerived >
This class provides the grammage/length conversion functionality for (locally) flat exponential atmospheres.
Definition at line 25 of file BaseExponential.hpp.
Member Function Documentation
◆ getArclengthFromGrammage()
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protected |
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.
If \( \vec{u} \cdot \vec{a} = 0 \), the calculation is just like with a homogeneous density:
\[ l = \frac{X}{\varrho_0} \]
◆ getIntegratedGrammage()
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protected |
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.
If \( \vec{u} \cdot \vec{a} = 0 \), the calculation is just like with a homogeneous density:
\[ X = \varrho_0 l; \]
The documentation for this class was generated from the following file:
- corsika/media/BaseExponential.hpp
