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Short text alternative
Wim, an attempt for an alternative to your proposal. Unfortunately, not
quite short:
'All the upward light is contributing to the increase of sky glow.
Under overcast sky, the total amount of light coming back down again is
little dependent on the direction of upward going emissions, just the
geographic distribution of the light returning to the landscape is, as
well as the sky luminance distribution as observed from any site.
Under cloudless sky, however, the direction of upward going emissions is
of paramount importance.
Vast majority of light emitted steep upwards escapes to the Universe. (It
is an exact analogy of summer noon sunlight going undispersed to the
ground by vast majority, so that shadows, illuminated by dispersed light
only, are much darker.) From steep-upward emitted light, just about 8 per
cent return back to the ground due to dispersion by cloudless air.
Light going upwards almost horizontally, however, is dispersed almost
completely on its path. (It is an exact analogy of Sun being faint when
setting down, almost all horizontal illuminance of the ground being due to
its dispersed light.) Half of that light disperses upwards, half of it
downwards, as dispersion is symmetric.
So, such slowly climbing light contributes to skyglow six times more (50 ~
8x6). Where the skyglow from that light appears, depends on air turbidity.
With very clear air, it may be as far as 300 km, with very turbid air,
most of that light becomes dispersed within ten kilometers from the
source. In any case, skyglow at sites located many tens of kilometres away
from the light sources depends almost solely on light emitted just several
degrees above horizon. Reducing this component as much as possible is
therefore the most important measure to protect the night view of the
Universe and natural night environment in general.
(Many papers and computer programmes have shown it quantitatively, for
various atmospheric conditions, within the last ten years -- for those who
are interested E.g., for lambertian emissions, the total contribution to
skyglow is thrice lower than for almost horizontal emissions.)'
Jenik