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Skimming the below leads me to suggest that the effect of finite embedded
medium can be qualitatively detmnd by finding the equipotentials over a
larger area - especially near the edges. The %age where "fringing" is
evident (to the whole area for the sheet) is a measure of the error?
Bernard Cleyet conjectured that:...
the effect of finite embedded
medium can be qualitatively detmnd by finding the equipotentials over
a larger area - especially near the edges. The %age where "fringing"
is evident (to the whole area for the sheet) is a measure of the error?
Well, using the periodic-boundary approach discussed
in my previous note, it is !!quantitatively!! determined.
The fringing _from_ this cell into the whole larger sheet
is exactly the same as the fringing _into_ this cell from
the neighbors. You just have to add up all the contributions.
This trick has been around since 1822.
http://www.google.com/search?q=fourier+analytique+chaleur