International Polarized Radiative Transfer

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==== Case A 5: Liquid water cloud ====

The purpose of this test is to check whether the forward scattering peak and features of the phase matrix like the rainbow can be simulated. For this reason simulations in the principal plane and almucanter plane respectively are performed with an angular resolution of 1°. 

//Setup://    
  * cloud optical thickness: 5
  * effective radius: 10 $\mu$m
  * cloud optical properties: {{:intercomparisons:phase_a:watercloud.mie.cdf|netCDF}},{{:intercomparisons:phase_a:watercloud.mie.dat|ascii}} \\ The variable "phase" includes the phase matrix, as a function of the scattering angle (variable "theta"). The 4x4 scattering phase matrix for spherical droplets has four non-zero elements, which are stored in the following order: $ P = \begin{pmatrix} P1 &  P2 &  0 & 0 \\ P2 & P1 & 0 & 0 \\ 0 & 0 & P3 & P4 \\ 0 & 0 & -P4 & P3 \end{pmatrix} $ \\ The corresponding Legendre polynomials ("pmom") and the single scattering albedo ("ssa") are also included in the file.
  {{ :intercomparisons:phase_a:watercloud.mie.png?600 |}}
The expansion moments over generalized spherical functions for the phase matrix have been provided by S. Korkin and are available {{:intercomparisons:phase_a:XK_A5.txt|here.}} 
  * no molecules
  * surface albedo: 0
  * transmittance at bottom and reflectance at top of layer
  * solar zenith angle: 50°
  * solar azimuth angle: 0°
 
  * principal plane: 
    * viewing zenith angles: 0° - 80°, 1° increment
    * viewing azimuth angles: 0°, 180° 
  
  * almucantar plane: 
    * viewing zenith angle: 50°
    * viewing azimuth angle: 0° - 180°, 1° increment  
      
//Output format://
  * The output should be provided in two separate files (principal plane, almucantar plane) in the same format as for case A1 ([[intercomparisons:a1_rayleigh|Rayleigh scattering]]). 

=== Results ===

//Difference plots// between the models IPOL, 3DMCPOL, SPARTA (previously named TROPOS), SHDOM, PSTAR and MYSTIC for the full radiation field:\\

//Reflectance://\\ 
{{:intercomparisons:phase_a:a5:diff_a5_reflectance_3dmcpol.pdf|3DMCPOL}}\\
{{:intercomparisons:phase_a:a5:diff_a5_reflectance_ipol.pdf|IPOL}}\\
{{:intercomparisons:phase_a:a5:diff_a5_reflectance_tropos.pdf|SPARTA}}\\
{{:intercomparisons:phase_a:a5:diff_a5_reflectance_shdom3.pdf|SHDOM}}\\
{{:intercomparisons:phase_a:a5:diff_a5_reflectance_pstar.pdf|PSTAR}}\\

//Transmittance://\\
{{:intercomparisons:phase_a:a5:diff_a5_transmittance_3dmcpol.pdf|3DMCPOL}}\\
{{:intercomparisons:phase_a:a5:diff_a5_transmittance_ipol.pdf|IPOL}}\\
{{:intercomparisons:phase_a:a5:diff_a5_transmittance_tropos.pdf|SPARTA}}\\
{{:intercomparisons:phase_a:a5:diff_a5_transmittance_shdom3.pdf|SHDOM}}\\
{{:intercomparisons:phase_a:a5:diff_a5_transmittance_pstar.pdf|PSTAR}}\\

//Data// of all models (MYSTIC and 3DMCPOL include also standard deviation):\\
{{:intercomparisons:phase_a:a5:iprt_case_a5_al_mystic.dat|MYSTIC almucantar}}\\
{{:intercomparisons:phase_a:a5:iprt_case_a5_pp_mystic.dat|MYSTIC principal}}\\	 
{{:intercomparisons:phase_a:a5:iprt_case_a5ap_3dmcpol.dat|3DMCPOL almucantar}}\\
{{:intercomparisons:phase_a:a5:iprt_case_a5pp_3dmcpol.dat|3DMCPOL principal}}\\
{{:intercomparisons:phase_a:a5:iprt_case_a5_al_ipol_2014-08-17.dat|IPOL almucantar}}\\
{{:intercomparisons:phase_a:a5:iprt_case_a5_pp_ipol_2014-08-20.dat|IPOL principal}}\\
{{:intercomparisons:phase_a:a5:iprt_case_a5_tropos_almucantar_plane.dat|SPARTA almucantar}}\\
{{:intercomparisons:phase_a:a5:iprt_case_a5_tropos_principle_plane.dat|SPARTA principal}}\\
{{:intercomparisons:phase_a:a5:iprt_case_a5_shdom3_almucantar.dat|SHDOM almucantar}}\\
{{:intercomparisons:phase_a:a5:iprt_case_a5_shdom3_almucantar.dat|SHDOM principal}}\\				
{{:intercomparisons:phase_a:a5:iprt_case_a5-al_pstar.dat|PSTAR almucantar}}\\
{{:intercomparisons:phase_a:a5:iprt_case_a5-pr_pstar.dat|PSTAR principal}}\\
International Polarized Radiative Transfer

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