A Voigt profile is the convolution of a Lorentzian and a Gaussian profile. More...
#include <LineBroadener.h>
Public Member Functions | |
| Voigt (doublereal sigma, doublereal gamma) | |
| Constructor. More... | |
| virtual doublereal | profile (doublereal deltaFreq) |
| Voigt profile. More... | |
| void | testv () |
 Public Member Functions inherited from LineBroadener | |
| LineBroadener () | |
| Default constructor. More... | |
| virtual | ~LineBroadener () |
| Destructor. More... | |
| doublereal | operator() (doublereal deltaFreq) |
| virtual doublereal | cumulative (doublereal deltaFreq) |
| The cumulative profile, defined as
\[ C(\Delta \nu) = \int_{-\infty}^{\Delta \nu} P(x) dx \] . More... | |
| virtual doublereal | width () |
Protected Member Functions | |
| doublereal | F (doublereal x) |
| This method evaluates the function
\[ F(x, y) = \frac{y}{\pi}\int_{-\infty}^{+\infty} \frac{e^{-z^2}} {(x - z)^2 + y^2} dz \] The algorithm used to cmpute this function is described in the reference below. More... | |
Protected Attributes | |
| doublereal | m_sigma |
| doublereal | m_gamma_lor |
| doublereal | m_sigma2 |
| doublereal | m_width |
| doublereal | m_gamma |
| doublereal | m_sigsqrt2 |
| doublereal | m_a |
| doublereal | m_eps |
Detailed Description
A Voigt profile is the convolution of a Lorentzian and a Gaussian profile.
This profile results when Doppler broadening and collisional broadening both are important.
Definition at line 123 of file LineBroadener.h.
Constructor & Destructor Documentation
| Voigt | ( | doublereal | sigma, |
| doublereal | gamma | ||
| ) |
Constructor.
- Parameters
-
sigma The standard deviation of the Gaussian gamma The half-width of the Lorentzian.
Definition at line 82 of file LineBroadener.cpp.
References Cantera::SqrtTwo.
Member Function Documentation
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virtual |
Voigt profile.
Not sure that constant is right.
Reimplemented from LineBroadener.
Definition at line 168 of file LineBroadener.cpp.
References Voigt::F(), and Cantera::SqrtPi.
|
protected |
This method evaluates the function
\[ F(x, y) = \frac{y}{\pi}\int_{-\infty}^{+\infty} \frac{e^{-z^2}} {(x - z)^2 + y^2} dz \]
The algorithm used to cmpute this function is described in the reference below.
- See Also
- F. G. Lether and P. R. Wenston, "The numerical computation of the Voigt function by a corrected midpoint quadrature rule for \( (-\infty, \infty) \). Journal of Computational and Applied Mathematics}, 34 (1):75–92, 1991.
Definition at line 113 of file LineBroadener.cpp.
References Cantera::Pi, Cantera::SqrtPi, and Cantera::SqrtTwo.
Referenced by Voigt::profile().
The documentation for this class was generated from the following files:
