xðgÞ ¼
1
s
ð
1
0
f ðrÞC s ðr; mÞxðg; r; mÞdr
(10.8)
where the ensemble phase function is on the left and the phase function of single
particle is under the integral.
Thus, relations (10.5)–(10.8) provide calculating optical characteristics of atmospheric aerosols with function of size distribution f(r).
10.5 Practice 9
10.5.1 Objectives
The purpose of the practice is the study of the dependence of the atmospheric
aerosols optical characteristics on parameters of the set of distribution functions.
Let the aerosol concentration N ¼ 1 cm
À3 because of the trivial dependence
(direct proportionality) of the considered characteristics on concentration N, that is
all the calculations shall be carried out for a unit concentration of particles.
Two dependencies of characteristics are considered as the most interesting for
educational points:
1. The dependence of volume coefficients of aerosol extinction (10.5), scattering
(10.6) and absorption (10.7) on wavelength.
2. The aerosol phase functions against scattering angle g (10.8) at fixed wavelength
(0.55 mm).
The following typical atmospheric aerosols are taken for consideration: soot (the
major component of anthropogenic aerosols), dust (the major component of continental aerosols), water (clouds, fogs, mist, precipitations). Tables of complex
refractive indexes are in the attached file “cri3.dt”.
10.5.2 Sequential Steps of the Exercise Implementation
The computer program “AEROPTIC.exe” realizes the above algorithm for calculation. After execution the program runs in the dialogue regime. It is necessary for the
file “cri3.dt” to be in the same directory for the program to operate.
After execution and giving out information, the first question of the program is:
Input filename for results:
A name of the resulting file is input (entered). The initial parameters and output
results are in the file at every moment the program is running. The file is open for
writing till program operation ends.
Then the program fulfills two stages of running.
10.5 Practice 9
103
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