On Mon, 26 Nov 2001 at 19:12:30 -0500, "Isaac Crawford" 
<[EMAIL PROTECTED]> wrote: 

>     You mean down to the photon!? Who's BSing now? We aren't
> talking about a machine shop, we're talking about light. It is
> literally impossible to grind lenses to within a photon's breadth
> of correction.

The criterion isn't a photon's breadth (I'm not even sure a photon
has breadth), but rather the wavelength of the light (= photon). As
it happens, a mirror ground to within 1/4 lambda (wavelength)
behaves as though it were optically exact. I imagine that a similar 
phenomenon happens with lenses.

And, yes, it is possible to form optical surfaces to this accuracy. 
Kodak has a proprietary method using a beam of argon ions to erode 
glass surfaces. This method has been used to correct the figure of 
the mirrors for the large Hawaiian telescopes and remove the normal 
errors in figure that result from mechanical grinding and polishing 
when the grinding tool overlaps the edge of the mirror.

However, because of the dispersion of glass (variation in index of 
refraction with wavelength), a single lens element can only be 
optimized for a limited number of wavelengths, possibly just one. It 
will be out of focus for all other wavelengths.

Mirrors differ in that reflection is essentially the same for all 
wavelengths, so a mirror figured to focus at, say, 400 nm wavelength 
(violet) will also accurately focus at 700 nm wavelength (red).

-- 
Rodger Whitlock
Victoria, British Columbia, Canada
"To co-work is human,
to cow-ork, bovine."
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