Table 1
Cloud distribution functions and relations to physical parameters of the torus.
| Physical property | Function1,2,3 | |
|
|
||
| radial dust distribution |
|
|
| vertical dust distribution | ηz = exp( − z2/2H2) | |
or  |
||
| dust cloud radius | Rcl(r) = Rcl;0rb·rsub | |
| total number of clouds |
|
|
|
||
with  |
||
| volume filling factor at z = 0 |
|
|
Notes.
Model parameters: (1)
a: radial distribution power law index; (2) h:
scale height,
h = H(r)/r = const.
or half-opening angle θ0; (3)
N0: mean number of clouds along the equatorial
line-of-sight; (4) Rcl;0: cloud radius at
rsub (in units of rsub);
(5) b: cloud size distribution index; (6)
Rout: the outer torus radius; 3 we define
the altitudinal angle θ = 0 in the torus mid-plane. Therefore we
use, for convenience, the half-covering angle 
instead of the half-opening
angle θ0 in the equations.
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