Dave Bell wrote:

> Well, as best I can make it out, the spheres act as lenses with focal
> length equal to their diameter. If they are embedded in a reflective
> background, an incoming bundle of parallel rays is focussed to a point
> (disregarding spherical aberration) on the rear surface, reflected back
> (must be along complementary paths!), and recollimated into a parallel
> bundle again - directly back along the entry path. From the diagram, a
> small part of the light from the sun passes through the hole in the
> silvered layer, reflects off the rear glass surface onto the beads, and
> returns to the same point on the rear surface. Some of the return light is
> reflected back towards the sun, and some penetrates the rear surface, to
> the user's eye. He sees a diffuse, much dimmed virtual solar image,
> aligned with the direction the major part of the reflected light takes,
> towards the target.

Thanks for the explanation. That's about what I figured out in the meantime.
The key is the combination of retroreflection from the beads with a
(partial) reflection from any of the glass surfaces parallel to the mirror.
Clever.

--Art

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