ARTS  2.2.66
Functions
tmatrix.cc File Reference

Implementation of the T-Matrix interface. More...

#include "tmatrix.h"
#include <stdexcept>
#include <cstring>
#include <cmath>
#include "complex.h"
#include "messages.h"
#include "matpackI.h"
#include "make_vector.h"
#include "math_funcs.h"
#include "optproperties.h"

Go to the source code of this file.

Functions

void calc_phamat (Matrix &z, const Index &nmax, const Numeric &lam, const Numeric &thet0, const Numeric &thet, const Numeric &phi0, const Numeric &phi, const Numeric &beta, const Numeric &alpha)
 
void ampmat_to_phamat (Matrix &z, const Complex &s11, const Complex &s12, const Complex &s21, const Complex &s22)
 Calculate phase matrix from amplitude matrix. More...
 
void integrate_phamat_alpha10 (Matrix &phamat, const Index &nmax, const Numeric &lam, const Numeric &thet0, const Numeric &thet, const Numeric &phi0, const Numeric &phi, const Numeric &beta, const Numeric &alpha_1, const Numeric &alpha_2)
 Integrate phase matrix over particle orientation angle. More...
 
void integrate_phamat_alpha6 (Matrix &phamat, const Index &nmax, const Numeric &lam, const Numeric &thet0, const Numeric &thet, const Numeric &phi0, const Numeric &phi, const Numeric &beta, const Numeric &alpha_1, const Numeric &alpha_2)
 Integrate phase matrix over particle orientation angle. More...
 
void integrate_phamat_theta0_phi10 (Matrix &phamat, const Index &nmax, const Numeric &lam, const Numeric &thet0_1, const Numeric &thet0_2, const Numeric &thet, const Numeric &phi0, const Numeric &phi_1, const Numeric &phi_2, const Numeric &beta, const Numeric &alpha)
 Integrate phase matrix over angles thet0 and phi. More...
 
void integrate_phamat_theta0_phi_alpha6 (Matrix &phamat, const Index &nmax, const Numeric &lam, const Numeric &thet0_1, const Numeric &thet0_2, const Numeric &thet, const Numeric &phi0, const Numeric &phi_1, const Numeric &phi_2, const Numeric &beta, const Numeric &alpha_1, const Numeric &alpha_2)
 Integrate phase matrix over angles thet0, phi and alpha. More...
 
void tmd_ (const Numeric &rat, const Index &ndistr, const Numeric &axmax, const Index &npnax, const Numeric &b, const Numeric &gam, const Index &nkmax, const Numeric &eps, const Index &np, const Numeric &lam, const Numeric &mrr, const Numeric &mri, const Numeric &ddelt, const Index &npna, const Index &ndgs, const Numeric &r1rat, const Numeric &r2rat, const Index &quiet, Numeric &reff, Numeric &veff, Numeric &cext, Numeric &csca, Numeric &walb, Numeric &asymm, Numeric *f11, Numeric *f22, Numeric *f33, Numeric *f44, Numeric *f12, Numeric *f34, char *errmsg)
 T-matrix code for randomly oriented nonspherical particles. More...
 
void tmatrix_ (const Numeric &rat, const Numeric &axi, const Index &np, const Numeric &lam, const Numeric &eps, const Numeric &mrr, const Numeric &mri, const Numeric &ddelt, const Index &quiet, Index &nmax, Numeric &csca, Numeric &cext, char *errmsg)
 T-matrix code for nonspherical particles in a fixed orientation. More...
 
void ampl_ (const Index &nmax, const Numeric &lam, const Numeric &thet0, const Numeric &thet, const Numeric &phi0, const Numeric &phi, const Numeric &alpha, const Numeric &beta, Complex &s11, Complex &s12, Complex &s21, Complex &s22)
 T-matrix code for nonspherical particles in a fixed orientation. More...
 
void avgtmatrix_ (const Index &nmax)
 Perform orientation averaging. More...
 
void tmatrix_random_orientation (Numeric &cext, Numeric &csca, Vector &f11, Vector &f22, Vector &f33, Vector &f44, Vector &f12, Vector &f34, const Numeric equiv_radius, const Numeric aspect_ratio, const Index np, const Numeric lam, const Numeric ref_index_real, const Numeric ref_index_imag, const Numeric precision, const Index nza, const Index quiet=1)
 Calculate properties for randomly oriented particles. More...
 
void tmatrix_fixed_orientation (Numeric &cext, Numeric &csca, Index &nmax, const Numeric equiv_radius, const Numeric aspect_ratio, const Index np, const Numeric lam, const Numeric ref_index_real, const Numeric ref_index_imag, const Numeric precision, const Index quiet=1)
 Calculate properties for particles in a fixed orientation. More...
 
void calcSingleScatteringDataProperties (SingleScatteringData &ssd, ConstMatrixView ref_index_real, ConstMatrixView ref_index_imag, const Numeric equiv_radius, const Index np, const Numeric aspect_ratio, const Numeric precision)
 Calculate SingleScatteringData properties. More...
 
void tmatrix_ampld_test (const Verbosity &verbosity)
 T-Matrix validation test. More...
 
void tmatrix_tmd_test (const Verbosity &verbosity)
 T-Matrix validation test. More...
 
void calc_ssp_random_test (const Verbosity &verbosity)
 Single scattering properties calculation for randomly oriented particles. More...
 
void calc_ssp_fixed_test (const Verbosity &verbosity)
 Single scattering properties calculation for particles with fixed orientation. More...
 

Detailed Description

Implementation of the T-Matrix interface.

Author
Oliver Lemke
Date
2013-06-25

Definition in file tmatrix.cc.

Function Documentation

◆ ampl_()

void ampl_ ( const Index &  nmax,
const Numeric &  lam,
const Numeric &  thet0,
const Numeric &  thet,
const Numeric &  phi0,
const Numeric &  phi,
const Numeric &  alpha,
const Numeric &  beta,
Complex &  s11,
Complex &  s12,
Complex &  s21,
Complex &  s22 
)

T-matrix code for nonspherical particles in a fixed orientation.

This is the interface to the T-Matrix ampl Fortran subroutine. It calculates the amplitude matrix. The T-Matrix is passed from tmatrix_() internally via common blocks.

See 3rdparty/tmatrix/tmd.lp.f for the complete documentation of the T-Matrix codes.

Parameters
[in]nmaxIteration count. Calculated by tmatrix_()
[in]lamWavelength of incident light [microns]
[in]thet0Zenith angle of the incident beam [degrees]
[in]thetzenith angle of the scattered beam in degrees
[in]phi0azimuth angle of the incident beam in degrees
[in]phiazimuth angle of the scattered beam in degrees
[in]alphaEuler angle (in degrees) specifying the orientation of the scattering particle relative to the laboratory reference frame
[in]betaEuler angle (in degrees) specifying the orientation of the scattering particle relative to the laboratory reference frame
[out]s11

Definition at line 402 of file tmatrix.cc.

Referenced by calc_phamat(), calcSingleScatteringDataProperties(), and tmatrix_ampld_test().

◆ ampmat_to_phamat()

void ampmat_to_phamat ( Matrix &  z,
const Complex &  s11,
const Complex &  s12,
const Complex &  s21,
const Complex &  s22 
)

Calculate phase matrix from amplitude matrix.

Ported from the T-Matrix Fortran code in 3rdparty/tmatrix/ampld.lp.f

Parameters
[out]zPhase Matrix
[in]s11Calculated by ampl_()
[in]s12Calculated by ampl_()
[in]s21Calculated by ampl_()
[in]s22Calculated by ampl_()
Returns
Author
Oliver Lemke

Definition at line 459 of file tmatrix.cc.

References Matrix::resize().

Referenced by calc_phamat(), and tmatrix_ampld_test().

◆ avgtmatrix_()

void avgtmatrix_ ( const Index &  nmax)

Perform orientation averaging.

This should be called after tmatrix_() for prolate particles. Data is passed from the tmatrix_() subroutine internally in the Fortran code via common blocks.

Parameters
[in]nmaxIteration count. Calculated by tmatrix_()

Definition at line 418 of file tmatrix.cc.

Referenced by calcSingleScatteringDataProperties().

◆ calc_phamat()

void calc_phamat ( Matrix &  z,
const Index &  nmax,
const Numeric &  lam,
const Numeric &  thet0,
const Numeric &  thet,
const Numeric &  phi0,
const Numeric &  phi,
const Numeric &  beta,
const Numeric &  alpha 
)

Definition at line 426 of file tmatrix.cc.

References ampl_(), ampmat_to_phamat(), and beta.

Referenced by calcSingleScatteringDataProperties().

◆ calc_ssp_fixed_test()

void calc_ssp_fixed_test ( const Verbosity &  verbosity)

Single scattering properties calculation for particles with fixed orientation.

Two cases are calculated. One with oblate particles which is equivalent to the following PyARTS case: 

from PyARTS import arts_types
from PyARTS import constants
params = {'ptype': constants.PARTICLE_TYPE_HORIZ_AL,
          'f_grid': [230e9, 240e9],
          'T_grid': [220, 250],
          'za_grid': numpy.arange(0, 181, 10),
          'aa_grid': numpy.arange(0, 181, 10),
          'equiv_radius': 200, # equivalent volume radius
          'NP':-1, # -1 for spheroid, -2 for cylinder, positive for chebyshev
          'phase':'ice',
          'mrr': numpy.array([[1.78031135, 1.78150475], [1.78037238, 1.78147686]]),
          'mri': numpy.array([[0.00278706, 0.00507565], [0.00287245, 0.00523012]]),
          'aspect_ratio': 1.5}
s = arts_types.SingleScatteringData(params)
s.calc()

And one with prolate particles which is equivalent to the following PyARTS case: 

from PyARTS import arts_types
from PyARTS import constants
params = {'ptype': constants.PARTICLE_TYPE_HORIZ_AL,
          'f_grid': [230e9, 240e9],
          'T_grid': [220, 250],
          'za_grid': numpy.arange(0, 181, 10),
          'aa_grid': numpy.arange(0, 181, 10),
          'equiv_radius': 200, # equivalent volume radius
          'NP':-1, # -1 for spheroid, -2 for cylinder, positive for chebyshev
          'phase':'ice',
          'mrr': numpy.array([[1.78031135, 1.78150475], [1.78037238, 1.78147686]]),
          'mri': numpy.array([[0.00278706, 0.00507565], [0.00287245, 0.00523012]]),
          'aspect_ratio': 0.7}
s = arts_types.SingleScatteringData(params)
s.calc()
Author
Oliver Lemke

Definition at line 1409 of file tmatrix.cc.

References SingleScatteringData::aa_grid, SingleScatteringData::abs_vec_data, calcSingleScatteringDataProperties(), CREATE_OUT0, SingleScatteringData::ext_mat_data, SingleScatteringData::f_grid, joker, ConstVectorView::nelem(), nlinspace(), SingleScatteringData::particle_type, PARTICLE_TYPE_HORIZ_AL, SingleScatteringData::pha_mat_data, SingleScatteringData::T_grid, and SingleScatteringData::za_grid.

Referenced by TMatrixTest().

◆ calc_ssp_random_test()

void calc_ssp_random_test ( const Verbosity &  verbosity)

Single scattering properties calculation for randomly oriented particles.

Two cases are calculated. One with oblate particles which is equivalent to the following PyARTS case: 

from PyARTS import arts_types
params = {'ptype': constants.PARTICLE_TYPE_HORIZ_AL,
          'f_grid': [230e9, 240e9],
          'T_grid': [220, 250],
          'za_grid': numpy.arange(0, 181, 10),
          'aa_grid': numpy.arange(0, 181, 10),
          'equiv_radius': 200, # equivalent volume radius
          'NP':-1, # -1 for spheroid, -2 for cylinder, positive for chebyshev
          'phase':'ice',
          'mrr': numpy.array([[1.78031135, 1.78150475], [1.78037238, 1.78147686]]),
          'mri': numpy.array([[0.00278706, 0.00507565], [0.00287245, 0.00523012]]),
          'aspect_ratio': 1.5}
s = arts_types.SingleScatteringData(params)
s.calc()

And one with prolate particles which is equivalent to the following PyARTS case: 

from PyARTS import arts_types
params = {'ptype': constants.PARTICLE_TYPE_HORIZ_AL,
          'f_grid': [230e9, 240e9],
          'T_grid': [220, 250],
          'za_grid': numpy.arange(0, 181, 10),
          'aa_grid': numpy.arange(0, 181, 10),
          'equiv_radius': 200, # equivalent volume radius
          'NP':-1, # -1 for spheroid, -2 for cylinder, positive for chebyshev
          'phase':'ice',
          'mrr': numpy.array([[1.78031135, 1.78150475], [1.78037238, 1.78147686]]),
          'mri': numpy.array([[0.00278706, 0.00507565], [0.00287245, 0.00523012]]),
          'aspect_ratio': 0.7}
s = arts_types.SingleScatteringData(params)
s.calc()
Author
Oliver Lemke

Definition at line 1351 of file tmatrix.cc.

References SingleScatteringData::aa_grid, SingleScatteringData::abs_vec_data, calcSingleScatteringDataProperties(), CREATE_OUT0, SingleScatteringData::ext_mat_data, SingleScatteringData::f_grid, joker, ConstVectorView::nelem(), nlinspace(), SingleScatteringData::particle_type, PARTICLE_TYPE_MACROS_ISO, SingleScatteringData::pha_mat_data, SingleScatteringData::T_grid, and SingleScatteringData::za_grid.

Referenced by TMatrixTest().

◆ calcSingleScatteringDataProperties()

void calcSingleScatteringDataProperties ( SingleScatteringData &  ssd,
ConstMatrixView  ref_index_real,
ConstMatrixView  ref_index_imag,
const Numeric  equiv_radius = 200,
const Index  np = -1,
const Numeric  aspect_ratio = 1.000001,
const Numeric  precision = 0.001 
)

Calculate SingleScatteringData properties.

Port of calc_SSP function from PyARTS.

Parameters
[in,out]ssdGrids given by ssd are used to calculate pha_mat_data, ext_mat_data and abs_vec_data
[in]ref_index_realVector with real parts of refractive index Number of rows must match elements in ssd.f_grid Number of cols must match elements in ssd.T_grid
[in]ref_index_imagVector with imaginary parts of refractive index
[in]equiv_radiusequivalent volume radius [micrometer]
[in]npParticle type (-1 for spheroid, -2 for cylinder)
[in]phaseParticle phase ("ice"), currently unused
[in]aspect_ratioAspect ratio of particles
[in]precisionAccuracy of the computations
Author
Oliver Lemke

Definition at line 927 of file tmatrix.cc.

References SingleScatteringData::aa_grid, SingleScatteringData::abs_vec_data, ampl_(), avgtmatrix_(), beta, calc_phamat(), SingleScatteringData::ext_mat_data, SingleScatteringData::f_grid, integrate_phamat_alpha10(), integrate_phamat_theta0_phi10(), integrate_phamat_theta0_phi_alpha6(), joker, ConstMatrixView::ncols(), ConstVectorView::nelem(), ConstMatrixView::nrows(), SingleScatteringData::particle_type, PARTICLE_TYPE_HORIZ_AL, PARTICLE_TYPE_MACROS_ISO, SingleScatteringData::pha_mat_data, PI, precision, Tensor7::resize(), Tensor5::resize(), SPEED_OF_LIGHT, SingleScatteringData::T_grid, tmatrix_fixed_orientation(), tmatrix_random_orientation(), and SingleScatteringData::za_grid.

Referenced by calc_ssp_fixed_test(), calc_ssp_random_test(), and scat_data_arrayFromMeta().

◆ integrate_phamat_alpha10()

void integrate_phamat_alpha10 ( Matrix &  phamat,
const Index &  nmax,
const Numeric &  lam,
const Numeric &  thet0,
const Numeric &  thet,
const Numeric &  phi0,
const Numeric &  phi,
const Numeric &  beta,
const Numeric &  alpha_1,
const Numeric &  alpha_2 
)

Integrate phase matrix over particle orientation angle.

Performs a ten point Gauss–Legendre integration over the orientation angle (first Euler angle) of the particles from alpha1 to alpha2.

Parameters
[out]phamatIntegrated phase matrix
[in]nmaxFIXME OLE
[in]lamSee ampl_()
[in]thet0See ampl_()
[in]thetSee ampl_()
[in]phi0See ampl_()
[in]phiSee ampl_()
[in]betaSee ampl_()
[in]alpha_1See alpha in ampl_()
[in]alpha_2See alpha in ampl_()
Author
Oliver Lemke

Definition at line 523 of file tmatrix.cc.

References Matrix::resize().

Referenced by calcSingleScatteringDataProperties().

◆ integrate_phamat_alpha6()

void integrate_phamat_alpha6 ( Matrix &  phamat,
const Index &  nmax,
const Numeric &  lam,
const Numeric &  thet0,
const Numeric &  thet,
const Numeric &  phi0,
const Numeric &  phi,
const Numeric &  beta,
const Numeric &  alpha_1,
const Numeric &  alpha_2 
)

Integrate phase matrix over particle orientation angle.

Performs a six point Gauss–Legendre integration over the orientation angle (first Euler angle) of the particles from alpha1 to alpha2.

Parameters
[out]phamatIntegrated phase matrix
[in]nmaxFIXME OLE
[in]lamSee ampl_()
[in]thet0See ampl_()
[in]thetSee ampl_()
[in]phi0See ampl_()
[in]phiSee ampl_()
[in]betaSee ampl_()
[in]alpha_1See alpha in ampl_()
[in]alpha_2See alpha in ampl_()
Author
Oliver Lemke

Definition at line 576 of file tmatrix.cc.

References Matrix::resize().

◆ integrate_phamat_theta0_phi10()

void integrate_phamat_theta0_phi10 ( Matrix &  phamat,
const Index &  nmax,
const Numeric &  lam,
const Numeric &  thet0_1,
const Numeric &  thet0_2,
const Numeric &  thet,
const Numeric &  phi0,
const Numeric &  phi_1,
const Numeric &  phi_2,
const Numeric &  beta,
const Numeric &  alpha 
)

Integrate phase matrix over angles thet0 and phi.

Performs a ten point Gauss–Legendre integration over the zenith angle of the incident beam (thet0) and the azimuth angle of the scattered beam (phi).

Parameters
[out]phamatIntegrated phase matrix
[in]nmaxFIXME OLE
[in]lamSee ampl_()
[in]thet0_1See thet0 in ampl_()
[in]thet0_2See thet0 in ampl_()
[in]thetSee ampl_()
[in]phi0See ampl_()
[in]phi_1See phi in ampl_()
[in]phi_2See phi in ampl_()
[in]betaSee ampl_()
[in]alphaSee in ampl_()
Author
Oliver Lemke

Definition at line 631 of file tmatrix.cc.

References PI, and Matrix::resize().

Referenced by calcSingleScatteringDataProperties().

◆ integrate_phamat_theta0_phi_alpha6()

void integrate_phamat_theta0_phi_alpha6 ( Matrix &  phamat,
const Index &  nmax,
const Numeric &  lam,
const Numeric &  thet0_1,
const Numeric &  thet0_2,
const Numeric &  thet,
const Numeric &  phi0,
const Numeric &  phi_1,
const Numeric &  phi_2,
const Numeric &  beta,
const Numeric &  alpha_1,
const Numeric &  alpha_2 
)

Integrate phase matrix over angles thet0, phi and alpha.

Performs a six point Gauss–Legendre integration over the zenith angle of the incident beam (thet0), the azimuth angle of the scattered beam (phi) and the orientation angle (first Euler angle) of the particles.

Parameters
[out]phamatIntegrated phase matrix
[in]nmaxFIXME OLE
[in]lamSee ampl_()
[in]thet0_1See thet0 in ampl_()
[in]thet0_2See thet0 in ampl_()
[in]thetSee ampl_()
[in]phi0See ampl_()
[in]phi_1See phi in ampl_()
[in]phi_2See phi in ampl_()
[in]betaSee ampl_()
[in]alpha_1See alpha in ampl_()
[in]alpha_2See alpha in ampl_()
Author
Oliver Lemke

Definition at line 714 of file tmatrix.cc.

References PI, and Matrix::resize().

Referenced by calcSingleScatteringDataProperties().

◆ tmatrix_()

void tmatrix_ ( const Numeric &  rat,
const Numeric &  axi,
const Index &  np,
const Numeric &  lam,
const Numeric &  eps,
const Numeric &  mrr,
const Numeric &  mri,
const Numeric &  ddelt,
const Index &  quiet,
Index &  nmax,
Numeric &  csca,
Numeric &  cext,
char *  errmsg 
)

T-matrix code for nonspherical particles in a fixed orientation.

This is the interface to the T-Matrix tmatrix Fortran subroutine. It calculates extinction and scattering cross section per particle. The T-Matrix is calculated internally and used accessed later by ampl_() via common blocks.

See 3rdparty/tmatrix/ampld.lp.f for the complete documentation of the T-Matrix codes.

Parameters
[in]rat1 - particle size is specified in terms of the equal-volume-sphere radius
!= 1 - particle size is specified in terms of the equal-surface-area-sphere radius
[in]axiEquivalent-sphere radius [microns]
[in]npShape of the particles
For spheroids NP=-1 and EPS is the ratio of the horizontal to rotational axes. EPS is larger than 1 for oblate spheroids and smaller than 1 for prolate spheroids.
For cylinders NP=-2 and EPS is the ratio of the diameter to the length.
[in]lamWavelength of light [microns]
[in]epsShape of the particles (see np above)
[in]mrrVector with real parts of refractive index
[in]mriVector with imaginary parts of refractive index
[in]ddeltAccuracy of the computations
[in]quiet0 = Verbose output from Fortran code, 1 = silent
[out]nmaxIteration count
[out]cextExtinction cross section per particle
[out]cscaScattering cross section per particle
[out]errmsgError message string from Fortran code

Definition at line 383 of file tmatrix.cc.

Referenced by tmatrix_ampld_test(), and tmatrix_fixed_orientation().

◆ tmatrix_ampld_test()

void tmatrix_ampld_test ( const Verbosity &  verbosity)

T-Matrix validation test.

Executes the standard test included with the double precision T-Matrix code for nonspherical particles in a fixed orientation. Should give the same as running the 3rdparty/tmatrix/tmatrix_ampld executable.

Author
Oliver Lemke

Definition at line 1189 of file tmatrix.cc.

References ampl_(), ampmat_to_phamat(), beta, CREATE_OUT0, and tmatrix_().

Referenced by TMatrixTest().

◆ tmatrix_fixed_orientation()

void tmatrix_fixed_orientation ( Numeric &  cext,
Numeric &  csca,
Index &  nmax,
const Numeric  equiv_radius,
const Numeric  aspect_ratio,
const Index  np,
const Numeric  lam,
const Numeric  ref_index_real,
const Numeric  ref_index_imag,
const Numeric  precision,
const Index  quiet = 1 
)

Calculate properties for particles in a fixed orientation.

This is a simplified interface to the tmatrix_() function for randomly oriented particles based on the PyARTS function tmat_fxd

Parameters
[out]cextExtinction cross section per particle
[out]cscaScattering cross section per particle
[out]nmaxFIXME OLE
[in]equiv_radiusSee parameter axmax in tmd_()
[in]aspect_ratioSee parameter eps in tmd_()
[in]npSee tmd_()
[in]lamSee tmd_()
[in]ref_index_realSee parameter mrr in tmd_()
[in]ref_index_imagSee parameter mri in tmd_()
[in]precisionSee parameter ddelt in tmd_()
[in]quietSee tmd_()

Definition at line 896 of file tmatrix.cc.

References precision, and tmatrix_().

Referenced by calcSingleScatteringDataProperties().

◆ tmatrix_random_orientation()

void tmatrix_random_orientation ( Numeric &  cext,
Numeric &  csca,
Vector &  f11,
Vector &  f22,
Vector &  f33,
Vector &  f44,
Vector &  f12,
Vector &  f34,
const Numeric  equiv_radius,
const Numeric  aspect_ratio,
const Index  np,
const Numeric  lam,
const Numeric  ref_index_real,
const Numeric  ref_index_imag,
const Numeric  precision,
const Index  nza,
const Index  quiet = 1 
)

Calculate properties for randomly oriented particles.

This is a simplified interface to the tmd_() function for randomly oriented particles based on the PyARTS function tmat_rnd

Parameters
[out]cextExtinction cross section per particle
[out]cscaScattering cross section per particle
[out]f11See tmd_()
[out]f22See tmd_()
[out]f33See tmd_()
[out]f44See tmd_()
[out]f12See tmd_()
[out]f34See tmd_()
[in]equiv_radiusSee parameter axmax in tmd_()
[in]aspect_ratioSee parameter eps in tmd_()
[in]npSee tmd_()
[in]lamSee tmd_()
[in]ref_index_realSee parameter mrr in tmd_()
[in]ref_index_imagSee parameter mri in tmd_()
[in]precisionSee parameter ddelt in tmd_()
[in]nzaSee parameter npna in tmd_()
[in]quietSee tmd_()

Definition at line 802 of file tmatrix.cc.

References VectorView::get_c_array(), precision, Vector::resize(), and tmd_().

Referenced by calcSingleScatteringDataProperties().

◆ tmatrix_tmd_test()

void tmatrix_tmd_test ( const Verbosity &  verbosity)

T-Matrix validation test.

Executes the standard test included with the double precision T-Matrix code for randomly oriented nonspherical particles. Should give the same as running the 3rdparty/tmatrix/tmatrix_tmd executable.

Author
Oliver Lemke

Definition at line 1256 of file tmatrix.cc.

References CREATE_OUT0, VectorView::get_c_array(), and tmd_().

Referenced by TMatrixTest().

◆ tmd_()

void tmd_ ( const Numeric &  rat,
const Index &  ndistr,
const Numeric &  axmax,
const Index &  npnax,
const Numeric &  b,
const Numeric &  gam,
const Index &  nkmax,
const Numeric &  eps,
const Index &  np,
const Numeric &  lam,
const Numeric &  mrr,
const Numeric &  mri,
const Numeric &  ddelt,
const Index &  npna,
const Index &  ndgs,
const Numeric &  r1rat,
const Numeric &  r2rat,
const Index &  quiet,
Numeric &  reff,
Numeric &  veff,
Numeric &  cext,
Numeric &  csca,
Numeric &  walb,
Numeric &  asymm,
Numeric *  f11,
Numeric *  f22,
Numeric *  f33,
Numeric *  f44,
Numeric *  f12,
Numeric *  f34,
char *  errmsg 
)

T-matrix code for randomly oriented nonspherical particles.

This is the interface to the T-Matrix tmd Fortran subroutine.

See 3rdparty/tmatrix/tmd.lp.f for the complete documentation of the T-Matrix codes.

Parameters
[in]rat1 - particle size is specified in terms of the equal-volume-sphere radius
!= 1 - particle size is specified in terms of the equal-surface-area-sphere radius
[in]ndistrSpecifies the distribution of equivalent-sphere radii
NDISTR = 1 - modified gamma distribution [Eq. (40) of Ref. 7]
AXI=alpha
B=r_c
GAM=gamma
NDISTR = 2 - log-normal distribution [Eq. 41) of Ref. 7]
AXI=r_g
B=[ln(sigma_g)]**2
NDISTR = 3 - power law distribution [Eq. (42) of Ref. 7]
AXI=r_eff (effective radius)
B=v_eff (effective variance)
Parameters R1 and R2 (see below) are calculated automatically for given AXI and B
NDISTR = 4 - gamma distribution [Eq. (39) of Ref. 7]
AXI=a
B=b
NDISTR = 5 - modified power law distribution [Eq. (24) in M. I. Mishchenko et al., Bidirectional reflectance of flat, optically thick particulate laters: an efficient radiative transfer solution and applications to snow and soil surfaces, J. Quant. Spectrosc. Radiat. Transfer, Vol. 63, 409-432 (1999)].
B=alpha
[in]axmaxThe code computes NPNAX size distributions of the same type and with the same values of B and GAM in one run. The parameter AXI varies from AXMAX to AXMAX/NPNAX in steps of AXMAX/NPNAX. To compute a single size distribution, use NPNAX=1 and AXMAX equal to AXI of this size distribution.
[in]npnaxSee axmax above
[in]bSee ndistr above
[in]gamSee ndistr above
[in]nkmaxNKMAX<=988 is such that NKMAX+2 is the number of Gaussian quadrature points used in integrating over the size distribution for particles with AXI=AXMAX. For particles with AXI=AXMAX-AXMAX/NPNAX, AXMAX-2*AXMAX/NPNAX, etc. the number of Gaussian points linearly decreases. For the modified power law distribution, the number of integration points on the interval [0,R1] is also equal to NKMAX.
[in]epsShape of the particles
For spheroids NP=-1 and EPS is the ratio of the horizontal to rotational axes. EPS is larger than 1 for oblate spheroids and smaller than 1 for prolate spheroids.
For cylinders NP=-2 and EPS is the ratio of the diameter to the length.
For Chebyshev particles NP must be positive and is the degree of the Chebyshev polynomial, while EPS is the deformation parameter.
[in]npShape of the particles (see eps above)
[in]lamWavelength of light [microns]
[in]mrrVector with real parts of refractive index
[in]mriVector with imaginary parts of refractive index
[in]ddeltAccuracy of the computations
[in]npnaNumber of equidistant scattering angles (from 0 to 180 deg) for which the scattering matrix is calculated
[in]ndgsParameter controlling the number of division points in computing integrals over the particle surface. For compact particles, the recommended value is 2. For highly aspherical particles larger values (3, 4,...) may be necessary to obtain convergence. The code does not check convergence over this parameter. Therefore, control comparisons of results obtained with different NDGS-values are recommended.
[in]r1rat
[in]r2rat
[in]quiet0 = Verbose output from Fortran code, 1 = silent
[out]reffEffective radius of the size distribution
[out]veffEffective variance of the size distribution
[out]cextExtinction cross section per particle
[out]cscaScattering cross section per particle
[out]walbSingle scattering albedo
[out]asymmAsymmetry parameter of the phase function
[out]f11Elements of the normalized scattering matrix versus scattering angle
[out]f22Elements of the normalized scattering matrix versus scattering angle
[out]f33Elements of the normalized scattering matrix versus scattering angle
[out]f44Elements of the normalized scattering matrix versus scattering angle
[out]f12Elements of the normalized scattering matrix versus scattering angle
[out]f34Elements of the normalized scattering matrix versus scattering angle
[out]errmsgError message string from Fortran code
Returns
Author
Oliver Lemke

Definition at line 346 of file tmatrix.cc.

Referenced by tmatrix_random_orientation(), and tmatrix_tmd_test().