Re: [Phys-l] Disc polarizability

[Brian Whatcott <betwys1@sbcglobal.net>]

At 03:00 PM 2/23/2007, BC, you wrote:

> In Strong's text Hull claims the polarizability of a metal disc is (2/3)
> the permitivity (space) times its diameter cubed.  Finding this for a
> sphere and even an infinite cylinder is trivial (once one has seen it
> done).  But a disc, no.  Anyone know how it's done (not numerically)?
> I've looked in many texts *, googled and not found it.
>
>
> * not the best, unfortunately,
>
> bc, wonders, will JD come to his rescue?

   <http://www.slac.stanford.edu/grp/arb/tn/arbvol2/ARDB114.pdf>

Page 2 shows a form factor consisting of the ratio
 of disk thickness / disk diameter to find the polarizability of a disk
compared to that of the sphere.   But this URL appeals to numerical
 methods - specifically MATLAB .


Brian Whatcott    Altus OK    Eureka!