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echo: atm
to: ATM
from: rflrs{at}rcn.com
date: 2003-05-03 05:04:24
subject: Re: ATM Questions about Schmidt formulas in R&V

From: "Richard F.L.R. Snashall" 
To: ATM List 
Reply-To: "Richard F.L.R. Snashall" 




George Anderson wrote:
> While trying to improve the mediocre performance of my corrector design
> I started wondering about my interpretation of some of the formulas in
> R&V Telescope Optics.

IIRC, the verbiage around this formula in R&V is a little ambiguous.
There seems, to me, to be a possibility of some misinterpretation of the
formulas given.

> On page 301 and 302 I have been trying to decide if there are
> inconsistencies in the typsetting.
> Formula 21.11.2 uses a multiply point sign between hp and the sqrt sign
> with no root number in the sign (normal from what I remember from
> college). Yet 21.11.4 has a 2 beside the sqrt sign with no multiply
> point. Are they saying multiply the sqrt by 2 or are they just
> emphasizing that it is root 2?

The 2 is not inside the sign.  Multiply.

> Same thing with 21.11.6 on pg 302, is it r times the sqrt or is it the r
> root of...?

r times.

> the results of A B and C seem to be out by  a few orders of magnitude
> when I use Oslo to design the schmidt camera.
> Also, do A B and C relate directly to the 4th, 6th, and 8th order
> deformations?
>
2nd, 4th, and 6th.  A is used to indicate a slight ROC at the center.

        Rick S.

> George Anderson
> Montreal Canada
>
> Clear skies and good health
>
>

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