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Re: [ATM] R0 (the vertex radius) and the conical constant Kfor each the mirror

At 2005-07-06 11:36 -0500, Brian Stout wrote:

>How does one figure out the R0 (the vertex radius) and the conical 
>constant K for each the mirror for a set of Ritchey Chretian Mirrors?

It's Ritchey-Chrétien <g>, and Tex, p. 147, has the 3rd order approximation 
formulas for R and b.  If you want to go whole hog (and gain a few RMS nm), 
Born and Wolf, "Principles of Optics", p. 214, gives the differential 
equations for the surfaces with true aplanatism.  Finally, there's a 
solution to those DEs:

         <http://www.arxiv.org/PS_cache/astro-ph/pdf/0502/0502121.pdf>

as usual, Mike Peck found that link.  Just to be absolutely sure, I tested 
that solution vs. a numerical integration of B&W's DEs - equal within 
integration error.

         -- Jim Burrows
         -- mailto://burrjaw@earthlink.net
         -- http://home.earthlink.net/~burrjaw
         -- Seattle N47.4723 W122.3662 (WGS84) 

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