ARTS  2.3.1285(git:92a29ea9-dirty)
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lineshapes.cc File Reference

Stuff related to lineshape functions. More...

#include <cmath>
#include <Faddeeva/Faddeeva.hh>
#include "absorption.h"
#include "array.h"
#include "arts.h"
#include "complex.h"
#include "matpackI.h"

Go to the source code of this file.

Namespaces

 global_data
 

Functions

void lineshape_no_shape (Vector &, Vector &, Vector &, Vector &, Vector &, Vector &, Vector &, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, ConstVectorView, const bool, const bool)
 
void lineshape_lorentz (Vector &ls_attenuation, Vector &ls_phase, Vector &, Vector &, Vector &, Vector &, Vector &, const Numeric f0, const Numeric gamma, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, ConstVectorView f_grid, const bool do_phase, const bool)
 
void lineshape_mirrored_lorentz (Vector &ls_attenuation, Vector &ls_phase, Vector &, Vector &, Vector &, Vector &, Vector &, const Numeric f0, const Numeric gamma, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, ConstVectorView f_grid, const bool do_phase, const bool)
 
void lineshape_doppler (Vector &ls_attenuation, Vector &, Vector &, Vector &, Vector &, Vector &, Vector &, const Numeric f0, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric sigma, const Numeric, ConstVectorView f_grid, const bool, const bool)
 
void deprecated (Vector &, Vector &, Vector &, Vector &, Vector &, Vector &, Vector &, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, ConstVectorView, const bool, const bool)
 
long bfun6_ (Numeric y, Numeric x)
 
void lineshape_voigt_kuntz6 (Vector &ls_attenuation, Vector &, Vector &ls_dattenuation_dfrequency_term, Vector &, Vector &ls_dattenuation_dpressure_term, Vector &, Vector &x, const Numeric f0, const Numeric gamma, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric sigma, const Numeric, ConstVectorView f_grid, const bool, const bool do_partials)
 
long int bfun3_ (Numeric y, Numeric x)
 
void lineshape_voigt_drayson (Vector &ls_attenuation, Vector &, Vector &, Vector &, Vector &, Vector &, Vector &x, const Numeric f0, const Numeric gamma, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric sigma, const Numeric, ConstVectorView f_grid, const bool, const bool)
 
void chi_cousin (Numeric &chi, const Numeric &df)
 
void lineshape_CO2_lorentz (Vector &ls_attenuation, Vector &, Vector &, Vector &, Vector &, Vector &, Vector &, const Numeric f0, const Numeric gamma, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, ConstVectorView f_grid, const bool, const bool)
 
void lineshape_CO2_drayson (Vector &ls_attenuation, Vector &, Vector &, Vector &, Vector &, Vector &, Vector &X, const Numeric f0, const Numeric gamma, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric sigma, const Numeric, ConstVectorView f_grid, const bool, const bool)
 
void faddeeva_algorithm_916 (Vector &ls_attenuation, Vector &ls_phase, Vector &ls_dattenuation_dfrequency_term, Vector &ls_dphase_dfrequency_term, Vector &ls_dattenuation_dpressure_term, Vector &ls_dphase_dpressure_term, Vector &, const Numeric f0, const Numeric gamma, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric sigma, const Numeric, ConstVectorView f_grid, const bool do_phase, const bool do_partials)
 
void w_x_plus_iy_dT (Vector &dx_dT, Numeric &dy_dT, Numeric &dFu_dT, ConstVectorView f, const Numeric &f0, const Numeric &sigma, const Numeric &dPF_dT, const Numeric &dDF_dT, const Numeric &dsigma_dT, const Numeric &gamma, const Numeric &dgamma_dT)
 
void w_x_plus_iy_dF (Numeric &dx_dF, const Numeric &sigma)
 
void w_x_plus_iy_dF0 (Numeric &dx_dF0, const Numeric &sigma)
 
void w_x_plus_iy_dgamma (Numeric &dy_dgamma, const Numeric &sigma)
 
void w_x_plus_iy_dH (Numeric &dx_dH, const Numeric &sigma, const Numeric &df0_dH)
 
void w_x_plus_iy_dDF (Numeric &dx_dDF, const Numeric &sigma)
 
void hui_etal_1978_lineshape (Vector &ls_attenuation, Vector &ls_phase, Vector &, Vector &, Vector &, Vector &, Vector &xvector, const Numeric f0, const Numeric gamma, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric sigma, const Numeric, ConstVectorView f_grid, const bool do_phase, const bool)
 
void hartmann_tran_lineshape (Vector &ls_attenuation, Vector &ls_phase, Vector &ls_dattenuation_dfrequency_term, Vector &ls_dphase_dfrequency_term, Vector &ls_dattenuation_dpressure_term, Vector &ls_dphase_dpressure_term, Vector &xvector, const Numeric f0, const Numeric gamma_0, const Numeric gamma_2, const Numeric eta, const Numeric df_0, const Numeric df_2, const Numeric gamma_D, const Numeric f_VC, ConstVectorView f_grid, const bool do_phase, const bool do_partials)
 
void lineshape_o2nonresonant (Vector &ls_attenuation, Vector &, Vector &, Vector &, Vector &, Vector &, Vector &, const Numeric f0, const Numeric gamma, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, const Numeric, ConstVectorView f_grid, const bool, const bool)
 
void lineshape_norm_no_norm (Vector &fac, const Numeric, ConstVectorView, const Numeric)
 
void lineshape_norm_no_norm_dT (Vector &fac, const Numeric, ConstVectorView, const Numeric)
 
void lineshape_norm_no_norm_dF (Vector &fac, const Numeric, ConstVectorView, const Numeric)
 
void lineshape_norm_no_norm_dF0 (Vector &fac, const Numeric, ConstVectorView, const Numeric)
 
void lineshape_norm_linear (Vector &fac, const Numeric f0, ConstVectorView f_grid, const Numeric)
 
void lineshape_norm_linear_dT (Vector &fac, const Numeric, ConstVectorView, const Numeric)
 
void lineshape_norm_linear_dF (Vector &fac, const Numeric f0, ConstVectorView f_grid, const Numeric)
 
void lineshape_norm_linear_dF0 (Vector &fac, const Numeric f0, ConstVectorView f_grid, const Numeric)
 
void lineshape_norm_quadratic_Rosenkranz (Vector &fac, const Numeric f0, ConstVectorView f_grid, const Numeric T)
 
void lineshape_norm_quadratic_Rosenkranz_dT (Vector &fac, const Numeric f0, ConstVectorView f_grid, const Numeric T)
 
void lineshape_norm_quadratic_Rosenkranz_dF (Vector &fac, const Numeric f0, ConstVectorView f_grid, const Numeric T)
 
void lineshape_norm_quadratic_Rosenkranz_dF0 (Vector &fac, const Numeric f0, ConstVectorView f_grid, const Numeric T)
 
void lineshape_norm_VVH (Vector &fac, const Numeric f0, ConstVectorView f_grid, const Numeric T)
 
void lineshape_norm_VVH_dT (Vector &fac, const Numeric f0, ConstVectorView f_grid, const Numeric T)
 
void lineshape_norm_VVH_dF (Vector &fac, const Numeric f0, ConstVectorView f_grid, const Numeric T)
 
void lineshape_norm_VVH_dF0 (Vector &fac, const Numeric f0, ConstVectorView f_grid, const Numeric T)
 
void lineshape_norm_VVW (Vector &fac, const Numeric f0, ConstVectorView f_grid, const Numeric)
 
void lineshape_norm_VVW_dT (Vector &fac, const Numeric, ConstVectorView, const Numeric)
 
void lineshape_norm_VVW_dF (Vector &fac, const Numeric f0, ConstVectorView f_grid, const Numeric)
 
void lineshape_norm_VVW_dF0 (Vector &fac, const Numeric f0, ConstVectorView f_grid, const Numeric)
 
void define_lineshape_data ()
 
void define_lineshape_norm_data ()
 

Variables

Array< LineshapeRecord > global_data::lineshape_data
 
Array< LineshapeNormRecord > global_data::lineshape_norm_data
 

Detailed Description

Stuff related to lineshape functions.

This file contains both the lineshape functions themselves and the function define_lineshape_data which sets the lineshape lookup data.

This is the file from arts-1-0, back-ported to arts-1-1.

Author
Stefan Buehler
Date
2000-08-21

Definition in file lineshapes.cc.

Function Documentation

◆ bfun3_()

long int bfun3_ ( Numeric  y,
Numeric  x 
)

Definition at line 1063 of file lineshapes.cc.

References x2.

◆ bfun6_()

long bfun6_ ( Numeric  y,
Numeric  x 
)

Definition at line 279 of file lineshapes.cc.

Referenced by lineshape_voigt_kuntz6().

◆ chi_cousin()

void chi_cousin ( Numeric &  chi,
const Numeric &  df 
)

Chi factors according to Cousin

The CO2-CO2 self-broadening is neglected. Broadening factors for both O2 and N2 are considered, assuming 79% N2 and 21% O2.

Parameters
chiOut: The chi factor
df(f-f0) in Hz.
Author
Patrick Eriksson
Date
2000-09-07

Definition at line 1308 of file lineshapes.cc.

References HZ2CM.

Referenced by lineshape_CO2_drayson(), and lineshape_CO2_lorentz().

◆ define_lineshape_data()

void define_lineshape_data ( )

Definition at line 2393 of file lineshapes.cc.

References deprecated(), faddeeva_algorithm_916(), hartmann_tran_lineshape(), hui_etal_1978_lineshape(), lineshape_CO2_drayson(), lineshape_CO2_lorentz(), global_data::lineshape_data, lineshape_doppler(), lineshape_lorentz(), lineshape_mirrored_lorentz(), lineshape_no_shape(), lineshape_o2nonresonant(), lineshape_voigt_drayson(), lineshape_voigt_kuntz6(), w_x_plus_iy_dDF(), w_x_plus_iy_dF(), w_x_plus_iy_dF0(), w_x_plus_iy_dgamma(), w_x_plus_iy_dH(), and w_x_plus_iy_dT().

◆ define_lineshape_norm_data()

void define_lineshape_norm_data ( )

Definition at line 2540 of file lineshapes.cc.

References global_data::lineshape_norm_data, lineshape_norm_no_norm(), lineshape_norm_no_norm_dF(), lineshape_norm_no_norm_dF0(), lineshape_norm_no_norm_dT(), lineshape_norm_quadratic_Rosenkranz(), lineshape_norm_quadratic_Rosenkranz_dF(), lineshape_norm_quadratic_Rosenkranz_dF0(), lineshape_norm_quadratic_Rosenkranz_dT(), lineshape_norm_VVH(), lineshape_norm_VVH_dF(), lineshape_norm_VVH_dF0(), lineshape_norm_VVH_dT(), lineshape_norm_VVW(), lineshape_norm_VVW_dF(), lineshape_norm_VVW_dF0(), and lineshape_norm_VVW_dT().

◆ deprecated()

void deprecated ( Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
ConstVectorView  ,
const bool  ,
const bool   
)

The O2 non-resonant line shape. Should be VVW/2 so do not use this call...

Return values
ls_attenuationThe shape function.
ls_phaseThe shape function.
XAuxillary parameter, only used in Voigt fct.
Parameters
f0Line center frequency.
gammaThe pressure broadening parameter.
sigmaThe Doppler broadening parameter. (Not used.)
f_gridThe frequency grid.
Author
Richard Larsson
Date
2014-10-02

Definition at line 252 of file lineshapes.cc.

Referenced by define_lineshape_data().

◆ faddeeva_algorithm_916()

void faddeeva_algorithm_916 ( Vector &  ls_attenuation,
Vector &  ls_phase,
Vector &  ls_dattenuation_dfrequency_term,
Vector &  ls_dphase_dfrequency_term,
Vector &  ls_dattenuation_dpressure_term,
Vector &  ls_dphase_dpressure_term,
Vector &  ,
const Numeric  f0,
const Numeric  gamma,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  sigma,
const Numeric  ,
ConstVectorView  f_grid,
const bool  do_phase,
const bool  do_partials 
)

The Voigt and Faraday-Voigt line shape. Based on rewritten Faddeeva function algorithm 916. For more information read: MOFREH R. ZAGHLOUL and AHMED N. ALI Algorithm 916: Computing the Faddeyeva and Voigt Functions ACM Transactions on Mathematical Software, Vol. 38, No. 2, Article 15, Publication date: December 2011.

The main bulk of code is in Faddeeva.cc and written by Steven G. Johnson of MIT. Keep Faddeeva.{cc,hh} up to date in speed and accuracy by watching: http://ab-initio.mit.edu/Faddeeva sometimes.

Return values
ls_attenuationThe shape function.
ls_phaseThe phase shape function.
Parameters
f0Line center frequency.
gammaThe pressure broadening parameter.
sigmaThe Doppler broadening parameter.
f_gridThe frequency grid.
Author
Richard Larsson 2013-01-17

Definition at line 1476 of file lineshapes.cc.

References fac(), ConstVectorView::nelem(), PI, sqrt(), and w().

Referenced by define_lineshape_data(), and hartmann_tran_lineshape().

◆ hartmann_tran_lineshape()

void hartmann_tran_lineshape ( Vector &  ls_attenuation,
Vector &  ls_phase,
Vector &  ls_dattenuation_dfrequency_term,
Vector &  ls_dphase_dfrequency_term,
Vector &  ls_dattenuation_dpressure_term,
Vector &  ls_dphase_dpressure_term,
Vector &  xvector,
const Numeric  f0,
const Numeric  gamma_0,
const Numeric  gamma_2,
const Numeric  eta,
const Numeric  df_0,
const Numeric  df_2,
const Numeric  gamma_D,
const Numeric  f_VC,
ConstVectorView  f_grid,
const bool  do_phase,
const bool  do_partials 
)

Hartmann-Tran line shape. Based on [1] Ngo NH, Lisak D, Tran H, Hartmann J-M. An isolated line-shape model to go beyond the Voigt profile in spectroscopic databases and radiative transfer codes. J Quant Spec & Radiat Transfer 2013;129:89-100. [2] Tran H, Ngo NH, Hartmann J-M. Efficient computation of some speed-dependent isolated line profiles. J Quant Spec & Radiat Transfer 2013;129:199-203.

N.B. Input is not handled properly yet but assumed standard where nothing is known. This is indicated by all numerics set to constants at the start of the code.

Return values
ls_attenuationThe shape function.
ls_phaseThe phase shape function.
Parameters
f0Line center frequency.
gamma_0The pressure broadening parameter.
gamma_2The pressure broadening speed dependent parameter.
etaA correlation value.
df_0The pressure frequency shift parameter.
df_2The pressure frequency shift speed-dependent parameter.
gamma_DThe Doppler broadening parameter.
f_VCCollisional frequency parameter
f_gridThe frequency grid.
Author
Richard Larsson 2015-07-02

Definition at line 1771 of file lineshapes.cc.

References abs, faddeeva_algorithm_916(), i, ConstVectorView::nelem(), PI, SPEED_OF_LIGHT, sqrt(), test1(), and w().

Referenced by define_lineshape_data().

◆ hui_etal_1978_lineshape()

void hui_etal_1978_lineshape ( Vector &  ls_attenuation,
Vector &  ls_phase,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  xvector,
const Numeric  f0,
const Numeric  gamma,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  sigma,
const Numeric  ,
ConstVectorView  f_grid,
const bool  do_phase,
const bool   
)

The Voigt and Faraday-Voigt line shape. Based on Complex Error Function of X+i*Y.

Y must be positive.

Reference for equations: Hui, Armstrong and Wray, JQSRT V.19, P.509 (1978).

CERROR(z)=CERROR(x+iy)=CERROR(x,y)=w(x,y) g(nu,nu_0) = (1/DopHW)* sqrt(ln2/pi)*(Re(w(x,y) + Py*Im(w(x,y)) y=(P*LorHW /DopHW)*sqrt(ln2) x=(nu-nu_0)/DopHW)*sqrt(ln2)

NB Re(w)=Voigt

Return values
ls_attenuationThe shape function.
ls_phaseThe phase shape function.
xvectorAuxillary parameter to store frequency grid.
Parameters
f0Line center frequency.
gammaThe pressure broadening parameter.
sigmaThe Doppler broadening parameter.
f_gridThe frequency grid.
Author
P. Rosenkranz 1988-02-19

(Added by Richard Larsson 2014-03-13 with slight moderation)

Definition at line 1682 of file lineshapes.cc.

References C, fac(), ConstVectorView::nelem(), PI, and sqrt().

Referenced by define_lineshape_data().

◆ lineshape_CO2_drayson()

void lineshape_CO2_drayson ( Vector &  ls_attenuation,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  X,
const Numeric  f0,
const Numeric  gamma,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  sigma,
const Numeric  ,
ConstVectorView  f_grid,
const bool  ,
const bool   
)

A CO2 IR line shape.

Return values
ls_attenuationThe shape function.
XAuxillary parameter, only used in Voigt fct.
Parameters
f0Line center frequency.
gammaThe pressure broadening parameter.
sigmaThe Doppler broadening parameter. (Not used.)
f_gridThe frequency grid.
Author
Patrick Eriksson
Date
2000-09-04

Definition at line 1403 of file lineshapes.cc.

References chi_cousin(), i, lineshape_voigt_drayson(), and ConstVectorView::nelem().

Referenced by define_lineshape_data().

◆ lineshape_CO2_lorentz()

void lineshape_CO2_lorentz ( Vector &  ls_attenuation,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
const Numeric  f0,
const Numeric  gamma,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
ConstVectorView  f_grid,
const bool  ,
const bool   
)

A CO2 IR line shape.

Return values
ls_attenuationThe shape function.
Parameters
f0Line center frequency.
gammaThe pressure broadening parameter.
f_gridThe frequency grid.
Author
Patrick Eriksson
Date
2000-09-04

Definition at line 1352 of file lineshapes.cc.

References chi_cousin(), fac(), i, ConstVectorView::nelem(), and PI.

Referenced by define_lineshape_data().

◆ lineshape_doppler()

void lineshape_doppler ( Vector &  ls_attenuation,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
const Numeric  f0,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  sigma,
const Numeric  ,
ConstVectorView  f_grid,
const bool  ,
const bool   
)

The Doppler line shape.

Return values
ls_attenuationThe shape function.
ls_phaseThe shape function.
xAuxillary parameter, only used in Voigt fct.
Parameters
f0Line center frequency.
gammaThe pressure broadening parameter. (Not used.)
sigmaThe Doppler broadening parameter.
f_gridThe frequency grid.
Author
Axel von Engeln
Date
2000-12-06

Definition at line 206 of file lineshapes.cc.

References fac(), i, ConstVectorView::nelem(), PI, pow(), and sqrt().

Referenced by define_lineshape_data().

◆ lineshape_lorentz()

void lineshape_lorentz ( Vector &  ls_attenuation,
Vector &  ls_phase,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
const Numeric  f0,
const Numeric  gamma,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
ConstVectorView  f_grid,
const bool  do_phase,
const bool   
)

The Lorentz line shape. This is a quick and dirty implementation.

Return values
ls_attenuationThe shape function.
ls_phaseThe shape function.
XAuxillary parameter, only used in Voigt fct.
Parameters
f0Line center frequency.
gammaThe pressure broadening parameter.
sigmaThe Doppler broadening parameter. (Not used.)
f_gridThe frequency grid.
Author
Stefan Buehler
Date
2000-06-16

Definition at line 97 of file lineshapes.cc.

References fac(), i, ConstVectorView::nelem(), and PI.

Referenced by define_lineshape_data().

◆ lineshape_mirrored_lorentz()

void lineshape_mirrored_lorentz ( Vector &  ls_attenuation,
Vector &  ls_phase,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
const Numeric  f0,
const Numeric  gamma,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
ConstVectorView  f_grid,
const bool  do_phase,
const bool   
)

The Mirrored Lorentz line shape. This is a quick and dirty implementation.

Return values
ls_attenuationThe shape function.
ls_phaseThe shape function.
Parameters
f0Line center frequency.
gammaThe pressure broadening parameter.
f_gridThe frequency grid.
Author
Richard Larsson
Date
2015-08-13

Definition at line 148 of file lineshapes.cc.

References fac(), i, ConstVectorView::nelem(), and PI.

Referenced by define_lineshape_data().

◆ lineshape_no_shape()

void lineshape_no_shape ( Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
ConstVectorView  ,
const bool  ,
const bool   
)

The dummy line shape. This lineshape does nothing. It only exists, because formally you have to specify a lineshape also for continuum tags. It has to have the same arguments as all the other lineshapes, though...

Return values
ls_attenuationThe shape function.
ls_phaseThe shape function.
XAuxillary parameter, only used in Voigt fct.
Parameters
f0Line center frequency.
gammaThe pressure broadening parameter.
sigmaThe Doppler broadening parameter. (Not used.)
f_gridThe frequency grid.
Exceptions
runtime_errorThis exception is always thrown when the function is called.
Date
2001-01-16
Author
Stefan Buehler

Definition at line 61 of file lineshapes.cc.

Referenced by define_lineshape_data().

◆ lineshape_norm_linear()

void lineshape_norm_linear ( Vector &  fac,
const Numeric  f0,
ConstVectorView  f_grid,
const Numeric   
)

Linear normalization factor of the lineshape function with f/f0.

Return values
facNormalization factor to the lineshape function.
Parameters
f0Line center frequency.
f_gridThe frequency grid.
T(unused here)
Author
Axel von Engeln 30.11.2000

Definition at line 2080 of file lineshapes.cc.

References abs, i, and ConstVectorView::nelem().

◆ lineshape_norm_linear_dF()

void lineshape_norm_linear_dF ( Vector &  fac,
const Numeric  f0,
ConstVectorView  f_grid,
const Numeric   
)

Definition at line 2101 of file lineshapes.cc.

References abs, i, and ConstVectorView::nelem().

◆ lineshape_norm_linear_dF0()

void lineshape_norm_linear_dF0 ( Vector &  fac,
const Numeric  f0,
ConstVectorView  f_grid,
const Numeric   
)

Definition at line 2115 of file lineshapes.cc.

References abs, i, and ConstVectorView::nelem().

◆ lineshape_norm_linear_dT()

void lineshape_norm_linear_dT ( Vector &  fac,
const Numeric  ,
ConstVectorView  ,
const Numeric   
)

Definition at line 2094 of file lineshapes.cc.

◆ lineshape_norm_no_norm()

void lineshape_norm_no_norm ( Vector &  fac,
const Numeric  ,
ConstVectorView  ,
const Numeric   
)

No normalization of the lineshape function.

Return values
facNormalization factor to the lineshape function.
Parameters
f0Line center frequency.
f_gridThe frequency grid.
TTemperature (unused here)
Author
Axel von Engeln 30.11.2000

Definition at line 2043 of file lineshapes.cc.

Referenced by define_lineshape_norm_data().

◆ lineshape_norm_no_norm_dF()

void lineshape_norm_no_norm_dF ( Vector &  fac,
const Numeric  ,
ConstVectorView  ,
const Numeric   
)

Definition at line 2057 of file lineshapes.cc.

Referenced by define_lineshape_norm_data().

◆ lineshape_norm_no_norm_dF0()

void lineshape_norm_no_norm_dF0 ( Vector &  fac,
const Numeric  ,
ConstVectorView  ,
const Numeric   
)

Definition at line 2064 of file lineshapes.cc.

Referenced by define_lineshape_norm_data().

◆ lineshape_norm_no_norm_dT()

void lineshape_norm_no_norm_dT ( Vector &  fac,
const Numeric  ,
ConstVectorView  ,
const Numeric   
)

Definition at line 2050 of file lineshapes.cc.

Referenced by define_lineshape_norm_data().

◆ lineshape_norm_quadratic_Rosenkranz()

void lineshape_norm_quadratic_Rosenkranz ( Vector &  fac,
const Numeric  f0,
ConstVectorView  f_grid,
const Numeric  T 
)

Quadratic normalization factor of the lineshape function with (f/f0)^2*hf0/2kT/sinh(hf0/2kT). in case of the quadratic normalization factor use the so called 'microwave approximation' of the line intensity given by P. W. Rosenkranz, Chapter 2, Eq.(2.16), in M. A. Janssen, Atmospheric Remote Sensing by Microwave Radiometry, John Wiley & Sons, Inc., 1993

Return values
facNormalization factor to the lineshape function.
Parameters
f0Line center frequency.
f_gridThe frequency grid.
TTemperature (unused here)
Author
Axel von Engeln 30.11.2000

Definition at line 2145 of file lineshapes.cc.

References BOLTZMAN_CONST, i, ConstVectorView::nelem(), and PLANCK_CONST.

Referenced by define_lineshape_norm_data().

◆ lineshape_norm_quadratic_Rosenkranz_dF()

void lineshape_norm_quadratic_Rosenkranz_dF ( Vector &  fac,
const Numeric  f0,
ConstVectorView  f_grid,
const Numeric  T 
)

Definition at line 2181 of file lineshapes.cc.

References BOLTZMAN_CONST, i, ConstVectorView::nelem(), and PLANCK_CONST.

Referenced by define_lineshape_norm_data().

◆ lineshape_norm_quadratic_Rosenkranz_dF0()

void lineshape_norm_quadratic_Rosenkranz_dF0 ( Vector &  fac,
const Numeric  f0,
ConstVectorView  f_grid,
const Numeric  T 
)

Definition at line 2198 of file lineshapes.cc.

References BOLTZMAN_CONST, i, ConstVectorView::nelem(), and PLANCK_CONST.

Referenced by define_lineshape_norm_data().

◆ lineshape_norm_quadratic_Rosenkranz_dT()

void lineshape_norm_quadratic_Rosenkranz_dT ( Vector &  fac,
const Numeric  f0,
ConstVectorView  f_grid,
const Numeric  T 
)

Definition at line 2162 of file lineshapes.cc.

References BOLTZMAN_CONST, i, ConstVectorView::nelem(), and PLANCK_CONST.

Referenced by define_lineshape_norm_data().

◆ lineshape_norm_VVH()

void lineshape_norm_VVH ( Vector &  fac,
const Numeric  f0,
ConstVectorView  f_grid,
const Numeric  T 
)

Van Vleck Huber normalization factor of the lineshape function with (f*tanh(h*f/(2*k*T))) / (f0*tanh(h*f0/(2*k*T))). The denominator is a result of catalogue intensities. See P. Rayer, The VVH and VVW Spectral Functions, Atmospheric Millimeter and Sub-Millimeter Wave Radiative Transfer Modeling II, Editors: P. Eriksson, S. Buehler, Berichte aus derm Institut fuer Umweltphysik, Band 4, 2001.

Return values
facNormalization factor to the lineshape function.
Parameters
f0Line center frequency.
f_gridThe frequency grid.
TTemperature
Author
Axel von Engeln 2003-07-28

Definition at line 2233 of file lineshapes.cc.

References abs, BOLTZMAN_CONST, i, ConstVectorView::nelem(), and PLANCK_CONST.

Referenced by define_lineshape_norm_data().

◆ lineshape_norm_VVH_dF()

void lineshape_norm_VVH_dF ( Vector &  fac,
const Numeric  f0,
ConstVectorView  f_grid,
const Numeric  T 
)

Definition at line 2280 of file lineshapes.cc.

References BOLTZMAN_CONST, i, ConstVectorView::nelem(), and PLANCK_CONST.

Referenced by define_lineshape_norm_data().

◆ lineshape_norm_VVH_dF0()

void lineshape_norm_VVH_dF0 ( Vector &  fac,
const Numeric  f0,
ConstVectorView  f_grid,
const Numeric  T 
)

Definition at line 2301 of file lineshapes.cc.

References abs, BOLTZMAN_CONST, i, ConstVectorView::nelem(), and PLANCK_CONST.

Referenced by define_lineshape_norm_data().

◆ lineshape_norm_VVH_dT()

void lineshape_norm_VVH_dT ( Vector &  fac,
const Numeric  f0,
ConstVectorView  f_grid,
const Numeric  T 
)

Definition at line 2252 of file lineshapes.cc.

References BOLTZMAN_CONST, i, ConstVectorView::nelem(), and PLANCK_CONST.

Referenced by define_lineshape_norm_data().

◆ lineshape_norm_VVW()

void lineshape_norm_VVW ( Vector &  fac,
const Numeric  f0,
ConstVectorView  f_grid,
const Numeric   
)

Van Vleck Weiskopf normalization factor of the lineshape function with (f*f) / (f0*f0). The denominator is a result of catalogue intensities. See P. Rayer, The VVH and VVW Spectral Functions, Atmospheric Millimeter and Sub-Millimeter Wave Radiative Transfer Modeling II, Editors: P. Eriksson, S. Buehler, Berichte aus derm Institut fuer Umweltphysik, Band 4, 2001.

Return values
facNormalization factor to the lineshape function.
Parameters
f0Line center frequency.
f_gridThe frequency grid.
TTemperature
Author
Axel von Engeln 2003-07-28

Definition at line 2338 of file lineshapes.cc.

References i, and ConstVectorView::nelem().

Referenced by define_lineshape_norm_data().

◆ lineshape_norm_VVW_dF()

void lineshape_norm_VVW_dF ( Vector &  fac,
const Numeric  f0,
ConstVectorView  f_grid,
const Numeric   
)

Definition at line 2357 of file lineshapes.cc.

References i, and ConstVectorView::nelem().

Referenced by define_lineshape_norm_data().

◆ lineshape_norm_VVW_dF0()

void lineshape_norm_VVW_dF0 ( Vector &  fac,
const Numeric  f0,
ConstVectorView  f_grid,
const Numeric   
)

Definition at line 2370 of file lineshapes.cc.

References i, and ConstVectorView::nelem().

Referenced by define_lineshape_norm_data().

◆ lineshape_norm_VVW_dT()

void lineshape_norm_VVW_dT ( Vector &  fac,
const Numeric  ,
ConstVectorView  ,
const Numeric   
)

Definition at line 2351 of file lineshapes.cc.

Referenced by define_lineshape_norm_data().

◆ lineshape_o2nonresonant()

void lineshape_o2nonresonant ( Vector &  ls_attenuation,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
const Numeric  f0,
const Numeric  gamma,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
ConstVectorView  f_grid,
const bool  ,
const bool   
)

The O2 non-resonant line shape. Should be VVW/2 so do not use this call...

Return values
ls_attenuationThe shape function.
ls_phaseThe shape function.
XAuxillary parameter, only used in Voigt fct.
Parameters
f0Line center frequency.
gammaThe pressure broadening parameter.
sigmaThe Doppler broadening parameter. (Not used.)
f_gridThe frequency grid.
Author
Richard Larsson
Date
2014-10-02

Definition at line 1999 of file lineshapes.cc.

References fac(), i, ConstVectorView::nelem(), and PI.

Referenced by define_lineshape_data().

◆ lineshape_voigt_drayson()

void lineshape_voigt_drayson ( Vector &  ls_attenuation,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  ,
Vector &  x,
const Numeric  f0,
const Numeric  gamma,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  sigma,
const Numeric  ,
ConstVectorView  f_grid,
const bool  ,
const bool   
)

The Voigt line shape. Drayson approximation of the Voigt line shape.

Return values
ls_attenuationThe shape function.
xAuxillary parameter to store frequency grid.
Parameters
f0Line center frequency.
gammaThe pressure broadening parameter.
sigmaThe Doppler broadening parameter.
f_gridThe frequency grid.

Original ife function call and documention:

int voigt_vector(int nx, Numeric *X, Numeric Y, Numeric *Z, Numeric fac)

direct translation of the FORTRAN algorithm given in Drayson, S. R., Rapid Computation of the Voigt Profile, J. Quant. Spectrosc. Radiat. Transfer, Vol. 16, pp. 611-614, 1976 by Bjoern-Martin Sinnhuber, 13.Mar.96 in Ny-Aalesund, Spitsbergen.

Modified for vector calculation of a frequency array:

  --------------------------------------------------------------------
          int    nx        (in)           number of frequencies
          double *X        (in)           distance from line center in 
                                          units of (Doppler halfwidths 
                                          times sqrt(ln 2) )
          double  Y        (in)           Ratio of the collision halfwidth 
                                          to the ( Doppler halfwidth times sqrt(ln2) )
          double *Z        (out)          return array of voigt 
          double fac       (in)           no function, included to be
                                          consistent with the other voigt
                                          profile calculations
  --------------------------------------------------------------------

23.02.98 AvE

Replaced nx by nf, Z by ls, X by x, and multiplied ls with the factor fac.

Author
Axel von Engeln
Date
2000-12-06

Definition at line 1135 of file lineshapes.cc.

References C, fac(), J, N, ConstVectorView::nelem(), PI, and sqrt().

Referenced by define_lineshape_data(), and lineshape_CO2_drayson().

◆ lineshape_voigt_kuntz6()

void lineshape_voigt_kuntz6 ( Vector &  ls_attenuation,
Vector &  ,
Vector &  ls_dattenuation_dfrequency_term,
Vector &  ,
Vector &  ls_dattenuation_dpressure_term,
Vector &  ,
Vector &  x,
const Numeric  f0,
const Numeric  gamma,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  ,
const Numeric  sigma,
const Numeric  ,
ConstVectorView  f_grid,
const bool  ,
const bool  do_partials 
)

The Voigt line shape. Kuntz approximation of the Voigt line shape.

Return values
ls_attenuationThe shape function.
xAuxillary parameter to store frequency grid.
Parameters
f0Line center frequency.
gammaThe pressure broadening parameter.
sigmaThe Doppler broadening parameter.
f_gridThe frequency grid.

Original c function call and documention:

int voigt ( long nx, float *x, float y, float *prb, float fak )

Calculates the Voigt-Function times the user-definied value fac with a relative accuracy better than 2*10-6.

If this subroutine is called several times with the same parameter y the numerically expensive coefficents a1..t8 are only calculated once thus further accelerating the algorithm

  --------------------------------------------------------------------
  x(nx)   (in)    :Distance from line center in units of Doppler
                  :halfwidths
  y       (in)    :Ratio of the Doppler halfwidth to the Lorentz
                  :halfwidth  
  prb     (out)   :voigt-function times fak
  fak     (in)    :factor to be specified by the user
  --------------------------------------------------------------------

  author: M. Kuntz, 
          Institut fuer Meteorologie und Klimaforschung, 
          Forschungszentrum Karlsruhe, 
          Postfach 3640, 
          76021 Karlsruhe, Germany. 
          email: kuntz@imk.fzk.de

About 'voigt' : The program was originally written by M. Kuntz in Fortran77 but has been translated into C by Dietrich Feist (f2c) and into C++ by Oliver Lemke and Axel von Engeln. fak is removed from program code. Replaced nx by nf. Replaced prb by ls. Multiplied ls with the factor fac.

Author
Oliver Lemke and Axel von Engeln
Date
2000-09-27

Definition at line 359 of file lineshapes.cc.

References a1, a2, b1, b2, bfun6_(), dx, fac(), max, min, ConstVectorView::nelem(), PI, sqrt(), and x2.

Referenced by define_lineshape_data().

◆ w_x_plus_iy_dDF()

void w_x_plus_iy_dDF ( Numeric &  dx_dDF,
const Numeric &  sigma 
)

Definition at line 1635 of file lineshapes.cc.

Referenced by define_lineshape_data().

◆ w_x_plus_iy_dF()

void w_x_plus_iy_dF ( Numeric &  dx_dF,
const Numeric &  sigma 
)

Definition at line 1586 of file lineshapes.cc.

Referenced by define_lineshape_data().

◆ w_x_plus_iy_dF0()

void w_x_plus_iy_dF0 ( Numeric &  dx_dF0,
const Numeric &  sigma 
)

Definition at line 1596 of file lineshapes.cc.

Referenced by define_lineshape_data().

◆ w_x_plus_iy_dgamma()

void w_x_plus_iy_dgamma ( Numeric &  dy_dgamma,
const Numeric &  sigma 
)

Definition at line 1606 of file lineshapes.cc.

Referenced by define_lineshape_data().

◆ w_x_plus_iy_dH()

void w_x_plus_iy_dH ( Numeric &  dx_dH,
const Numeric &  sigma,
const Numeric &  df0_dH 
)

Definition at line 1616 of file lineshapes.cc.

Referenced by define_lineshape_data().

◆ w_x_plus_iy_dT()

void w_x_plus_iy_dT ( Vector &  dx_dT,
Numeric &  dy_dT,
Numeric &  dFu_dT,
ConstVectorView  f,
const Numeric &  f0,
const Numeric &  sigma,
const Numeric &  dPF_dT,
const Numeric &  dDF_dT,
const Numeric &  dsigma_dT,
const Numeric &  gamma,
const Numeric &  dgamma_dT 
)

Definition at line 1541 of file lineshapes.cc.

References ConstVectorView::nelem().

Referenced by define_lineshape_data().