Table 1c. Scattering properties of Pinatubo aerosol and stratus cloud.

Definitions: 
      W = wavelength (nm)

      Q = scattering efficiency (average of cross-section / (pi * r**2) )
          typically Q ~ 2 for large clouds and large aerosols
          fn of aerosol size distrib N(r), index of refraction, wavelength.

      K = extinction (m2/g), the cross-sectional area per gram of material
          K(m2/g) = Q / [4/3 * Reff(micron) * Rho(g/cm3)]

      Reff = effective radius (microns) 
               = Average[N(r) * r**3] / Average[N(r) * r**2]

      Rho = density of particles (g/cm3)

      n = index of refraction

      OD = optical depth (column) = column mass (g/m2) * K (m2/g)

      SSA = single scattering abledo

      LG(1:8) = coefficients of Legendre expansion of scattering phase fn.
            both polariztions are added.  By definition SLEG(1) = 1.
            Fast-JX uses these first 8 terms to define the scattering.


Pinatubo:  OD = 1.0 in layer 10 (86.6 to 64.9 hPa)
========
   Stratospheric aerosol composed of 75%-wt H2SO4.
   Rho  = 1.630
   n    = 1.514 + 0.000i  (200 nm) 
          1.473 + 0.000i  (300 nm) 
          1.459 + 0.000i  (400 nm) 
          1.448 + 0.000i  (600 nm) 
          1.435 + 0.000i  (999 nm) 
   Log-normal distribution with R0 = 0.08 micron & sigma = 0.800
      **check that you are using the right log-normal by deriving Reff
   Reff = 0.386 micron

   K (600nm) = 2.610
   OD (@600nm) = 1.00 ==> aerosol = 1.00/K = 0.3832 g/m2

    W     Q     SSA  LG(2) LG(3) LG(4) LG(5) LG(6) LG(7) LG(8)
   200 2.5935 1.0000 2.092 2.914 2.880 3.295 3.185 3.430 3.379
   300 2.6669 1.0000 2.121 2.861 2.792 2.936 2.733 2.703 2.568
   400 2.5588 1.0000 2.144 2.813 2.711 2.695 2.425 2.257 2.069
   600 2.1893 1.0000 2.149 2.713 2.547 2.362 2.018 1.740 1.499
   999 1.4540 1.0000 2.118 2.537 2.277 1.951 1.555 1.229 0.972
   (fast-JX 61 scatter #15)

Stratus:  OD = 20.0 in layer 2 (866 to 649 hPa)
=======
   Pure water cloud
   Rho  = 1.000
   n    = 1.335 + 0.000i (assumed 200-999 nm)
   Deirmendjian Cumulus C1 (Gamma, n(r) = a r**alpha exp[-b r**gamma])
         mode radius Rc = 4 microns, alpha=6, b=3/2, gamma = 1
   Reff = 6.00 micron

   K (600nm) = 0.2668
   OD (@600nm) = 20.0 ==> aerosol = 20.0/K = 75.0 g/m2

    W     Q     SSA  LG(2) LG(3) LG(4) LG(5) LG(6) LG(7) LG(8)
   200 2.0650 1.0000 2.610 3.998 4.771 5.450 6.196 6.829 7.721 
   300 2.0835 1.0000 2.596 3.973 4.725 5.406 6.129 6.751 7.607 
   400 2.1064 1.0000 2.571 3.936 4.660 5.345 6.056 6.670 7.492 
   600 2.1345 1.0000 2.557 3.902 4.596 5.263 5.923 6.507 7.267 
   999 2.1922 1.0000 2.499 3.799 4.418 5.081 5.667 6.213 6.851 
   (fast-JX 61 scatter #08)