disort.cc

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/* Copyright (C) 2006-2008 Claudia Emde <claudia.emde@dlr.de>
                      
   This program is free software; you can redistribute it and/or modify it
   under the terms of the GNU General Public License as published by the
   Free Software Foundation; either version 2, or (at your option) any
   later version.
 
   This program is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
   GNU General Public License for more details.
 
   You should have received a copy of the GNU General Public License
   along with this program; if not, write to the Free Software
   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307,
   USA. 
*/
 
#include <stdexcept>
#include <iostream>
#include <cstdlib>
#include <cmath>
#include "array.h"
#include "agenda_class.h"
#include "messages.h"
#include "xml_io.h"
#include "logic.h"
#include "check_input.h"
#include "auto_md.h"
#include "interpolation.h"
 
extern const Numeric PI;
extern const Numeric PLANCK_CONST;
extern const Numeric SPEED_OF_LIGHT;
extern const Numeric BOLTZMAN_CONST;
 
 
void dtauc_ssalbCalc(Workspace& ws,
                     VectorView dtauc,
                     VectorView ssalb,
                     const Agenda& opt_prop_part_agenda,
                     const Agenda& abs_scalar_gas_agenda,
                     const Agenda& spt_calc_agenda,
                     ConstTensor4View pnd_field,
                     ConstTensor3View t_field,
                     ConstTensor3View z_field, 
                     ConstVectorView p_grid,
                     ConstTensor4View vmr_field,
                     const Index& f_index
                    )
{
  
  const Index N_pt = pnd_field.nbooks();
  // In DISORT the "cloudbox" must cover the whole atmosphere
  const Index Np_cloud = pnd_field.npages();
  const Index stokes_dim = 1; 
 
  assert( dtauc.nelem() == Np_cloud-1);
  assert( ssalb.nelem() == Np_cloud-1);
 
  // Local variables to be used in agendas
  Matrix abs_vec_spt_local(N_pt, stokes_dim, 0.);
  Tensor3 ext_mat_spt_local(N_pt, stokes_dim, stokes_dim, 0.);
  Matrix abs_vec_local;
  Tensor3 ext_mat_local;
  Numeric rte_temperature_local; 
  Numeric rte_pressure_local;
  Matrix abs_scalar_gas_local;
  Vector ext_vector(Np_cloud); 
  Vector abs_vector(Np_cloud); 
  Vector rte_vmr_list_local(vmr_field.nbooks());
  // Calculate ext_mat, abs_vec and sca_vec for all pressure points. 
 
  abs_scalar_gas_local = 0.;   
  
 
 for(Index scat_p_index_local = 0; scat_p_index_local < Np_cloud; 
      scat_p_index_local ++)
   {
     rte_temperature_local = 
       t_field(scat_p_index_local, 0, 0);
     
     //Calculate optical properties for single particle types:
     spt_calc_agendaExecute(ws,
                            ext_mat_spt_local, 
                            abs_vec_spt_local,
                            scat_p_index_local, 0, 0, //position
                            rte_temperature_local,
                            0, 0, // angles, only needed for za=0
                            spt_calc_agenda);
 
     opt_prop_part_agendaExecute(ws,
                                 ext_mat_local, abs_vec_local, 
                                 ext_mat_spt_local, 
                                 abs_vec_spt_local,
                                 scat_p_index_local, 0, 0, 
                                 opt_prop_part_agenda);
 
     ext_vector[scat_p_index_local] = ext_mat_local(0,0,0);
     abs_vector[scat_p_index_local] = abs_vec_local(0,0);
   }
 
 
 
 // Calculate layer averaged single scattering albedo and optical depth
 for (Index i = 0; i < Np_cloud-1; i++)
   {
     Numeric ext = 0.;
     Numeric abs = 0.;
 
     if ((ext_vector[i] && ext_vector[i+1])!=0 )
       {
         ext=.5*(ext_vector[i]+ext_vector[i+1]);
         abs=.5*(abs_vector[i]+abs_vector[i+1]);
       }
 
     if (ext!=0)
       ssalb[Np_cloud-2-i]=(ext-abs)/ext;
     
     rte_pressure_local = 0.5 * (p_grid[i] + p_grid[i+1]);
     rte_temperature_local = 0.5 * (t_field(i,0,0) + t_field(i+1,0,0));
     
     // Average vmrs
     for (Index j = 0; j < vmr_field.nbooks(); j++)
       rte_vmr_list_local[j] = 0.5 * (vmr_field(j, i, 0, 0) +
                                      vmr_field(j, i+1, 0, 0));
   
  
     abs_scalar_gas_agendaExecute(ws,
                                  abs_scalar_gas_local, 
                                  f_index,  // monochromatic calculation
                                  0,
                                  rte_pressure_local, 
                                  rte_temperature_local, 
                                  rte_vmr_list_local,
                                  abs_scalar_gas_agenda);
     
     Numeric abs_total = abs_scalar_gas_local(0,joker).sum();
 
     dtauc[Np_cloud-2-i]=(ext+abs+abs_total)*
       (z_field(i+1, 0, 0)-z_field(i, 0, 0));
   }  
}
 
 
void phase_functionCalc(//Output
                       MatrixView phase_function,
                       //Input
                       const ArrayOfSingleScatteringData& scat_data_mono, 
                       ConstTensor4View pnd_field)
{
  Matrix phase_function_level(pnd_field.npages(), 
                              scat_data_mono[0].za_grid.nelem(), 0.);
  
  //Loop over pressure levels
  for (Index i_p = 0; i_p < pnd_field.npages(); i_p++)
    {
      // Loop over scattering angles
      for (Index i_t = 0; i_t < scat_data_mono[0].za_grid.nelem(); i_t++)
        {
          // Calculate ensemble averaged extinction coefficient
          Numeric sca_coeff=0.;
          
          for (Index j = 0; j < scat_data_mono.nelem(); j++)
            sca_coeff +=  pnd_field(j, i_p, 0, 0) *
              (scat_data_mono[j].ext_mat_data(0, 0, 0, 0, 0)-
              scat_data_mono[j].abs_vec_data(0, 0, 0, 0, 0));
          
          // Phase function
            for (Index j = 0; j < scat_data_mono.nelem(); j++)
              {
                if (sca_coeff != 0)
                  phase_function_level(i_p, i_t) += 
                    pnd_field(j, i_p, 0, 0) *
                     scat_data_mono[j].pha_mat_data(0, 0, i_t, 0, 0, 0, 0)
                    *4*PI/sca_coeff;// Normalization
              }
 
        }
    }
 
 
  // Calculate average phase function for the layers
  for (Index i_l = 0; i_l < pnd_field.npages()-1; i_l++)
    {
      for (Index i_t=0; i_t < phase_function_level.ncols(); i_t++)
        {
          if (phase_function_level(i_l, i_t) !=0 &&
              phase_function_level(i_l+1, i_t) !=0)
            phase_function(i_l, i_t) = .5* 
              (phase_function_level(i_l, i_t)+
               phase_function_level(i_l+1, i_t));
        }
    }
  
}
 
 
void pmomCalc(//Output
              MatrixView pmom,
              //Input
              ConstMatrixView phase_function, 
              ConstVectorView scat_angle_grid,
              const Index n_legendre,
              const Verbosity& verbosity)
{
  Numeric pint; //integrated phase function
  Numeric p0_1, p0_2, p1_1, p1_2, p2_1, p2_2;
  
  Vector za_grid(181);
  Vector u(181);
 
  for (Index i = 0; i< 181; i++)
    za_grid[i] = double(i);
  
  ArrayOfGridPos gp(181);
  gridpos(gp, scat_angle_grid, za_grid); 
  
  Matrix itw(gp.nelem(),2);    
  interpweights(itw,gp);
  
  Matrix phase_int(phase_function.nrows(),181);
  for  (Index i_l=0; i_l < phase_function.nrows(); i_l++)
    interp(phase_int(i_l, joker), itw, phase_function(i_l, joker), gp);
      
  for (Index i = 0; i<za_grid.nelem(); i++)
    u[i] = cos(za_grid[i] *PI/180.);
  
  for (Index i_l=0; i_l < phase_function.nrows(); i_l++)
    {
      pint = 0.;
      // Check if phase function is normalized
      for (Index i = 0; i<za_grid.nelem()-1; i++)            
        pint+=0.5*(phase_int(i_l, i)+phase_int(i_l, i+1))*
          abs(u[i+1] - u[i]);
      
      if (pint != 0){
        if (abs(2.-pint) > 1e-4)
        {
          CREATE_OUT1
          out1 << "Warning: The phase function is not normalized to 2\n"
               << "The value is:" << pint << "\n";
        }
       
        pmom(i_l, joker)= 0.; 
 
        for (Index i = 0; i<za_grid.nelem()-1; i++) 
          {
            p0_1=1.;
            p0_2=1.;
            
            pmom(phase_function.nrows()-1-i_l,0)=1.;
 
            //pmom(phase_function.nrows()-1-i_l,0)+=0.5*0.5*(phase_int(i_l, i)+ 
            //                                               phase_int(i_l, i+1))
            //*abs(u[i+1]-u[i]); 
            
            p1_1=u[i];
            p1_2=u[i+1];
            
            pmom(phase_function.nrows()-1-i_l,1)+=0.5*0.5*
              (p1_1*phase_int(i_l, i)+
               p1_2*phase_int(i_l, i+1))
              *abs(u[i+1]-u[i]);
            
            for (Index l=2; l<n_legendre; l++)
              {
              p2_1=(2*(double)l-1)/(double)l*u[i]*p1_1-((double)l-1)/
                (double)l*p0_1; 
              p2_2=(2*(double)l-1)/(double)l*u[i+1]*p1_2-((double)l-1)/
                (double)l*p0_2;
              
              pmom(phase_function.nrows()-1-i_l, l)+=0.5*0.5*
                (p2_1*phase_int(i_l, i)+
                 p2_2*phase_int(i_l, i+1))
                *abs(u[i+1]-u[i]);
              
              p0_1=p1_1;
              p0_2=p1_2;
              p1_1=p2_1;
              p1_2=p2_2;
              }
          }
        // cout << "pmom : " << pmom(phase_function.nrows()-1-i_l, joker) << endl;
        
      }
    }
}
 
 
Numeric planck2( 
        const Numeric&   f, 
        const Numeric&   t )
{
  assert( f > 0 );
  assert( t >= 0 );
 
  // Double must be used here (if not, a becomes 0 when using float)
  static const double a = 2 * PLANCK_CONST / (SPEED_OF_LIGHT*SPEED_OF_LIGHT);
  static const double b = PLANCK_CONST / BOLTZMAN_CONST;
  
  return   a * f*f*f / ( exp( b*f/t ) - 1 );
}