Very intriguing idea, Edley!
Should be great fun experimenting.
I'm going to look for some trial ray-tracing software...

Dave

> Some time ago an idea for a nodus on a Large Sundial appeared to me.
> It is the shadow of a thin-walled transparent sphere.  This can be seen
> simply in the shadows of soap bubbles and transparent round helium
> balloons.  This is not considering it a lens, just the shadow cast.  As a
> lens, such a structure is a diverging lens, but the shadow has a bright
> spot
> when the distance is proper for it's size.  The central light bundle is
> little
> refracted and outer bundles are reflected at Brewster's or other angles,
> leaving a
> surrounding shadow.  It appears much like the shadow of a disk with a hole
> in it, but works the same with light from all directions.  At a proper,
> and quite large distance, the central aperture acts much like a pinhole.
> I've not tried large spheres, but possibly those of glass or plastic,
> especially coloured transparent materials would give a distinctive small
> bright spot
> surrounded by shadow.
> I've no idea how to calculate the proper dimensions, size, wall thickness,
> surface shinyness, etc.  But, it could work very well at hundreds of feet
> away.
> If someone figures out how to calculate this effect, I'd be pleased to
> hear about it.
>
> Thanks!
>
> Edley McKnight
>
> PS. John, I decided to let the list know.
>
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>
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