Very interesting! Thanks for the info, David. The entry on Luneburg lenses in
Wikipedia ( http://en.wikipedia.org/wiki/Luneburg_lens ) includes this sentence
"The solution takes a simple and explicit form if one focal point lies at
infinity, and the other on the opposite surface of the lens." which sounds to
me as if it describes the light from a lace lamp.
Nancy
Connecticut, USA
From: David C COLLYER <dccoll...@ncable.net.au>
>To: lace@arachne.com
>Sent: Sunday, October 19, 2014 9:54 AM
>Subject: [lace] Fwd: Lace lamp lens
>
>
>>Dear friends,
>A friend of mine has been intrigued by how the old lacemakers lamps
>actually worked - you know the candle behind the glass sphere filled
>with distilled water. He put this problem to a scientists friend who
>replied with this formula. It's way beyond what I can remember of
>maths. I just hope it appears on arachne as I see it here.
>David in Ballarat, AUS
>
>
>>>I think if you put some water in the bowl you'd get something like this:
>>>
>>>T = \int _{(r_{1},\theta_{1})}^{(r_{2},\theta_{2})}\frac{n(r)}{
>>>
>>>
>>>Making it a Luneburg lens...
>>
>
>-
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