The radial dependence of the emissivity accounts for
the
local illuminating flux and incident angle; it depends on h (it
steepens when h decreases because of the enhanced anisotropy of
the primary emission) and can be approximated through functions of the
form
e(r) = A r-B + C r-D.
Plots
of the computed emissivity vs radius, and best-fit coefficients for the
approximating formula, have been presented in Martocchia, Karas &
Matt
(2000). It is easy to recognize (cp. Figure
2) that an emissivity law with ß
~
4, i.e. the one derived by Wilms et al. (2001), may be reproduced
in
our model with a small height of the primary source:
2. Line intensity and Compton reflection
Due to the high (relativistic) speeds of the disc matter at very low radii, the impinging photons as seen in the matter's frame arrive with high incident angles, and their energy is substantially blue-shifted. These effects further increase the amount of fluorescence and reflection.
For h ~ 3m our model predicts:
EW ~
250-300
eV
R ~ 4
which are consistent with the values found by Wilms et al. (2001).