Acoustic and electric Faraday cages

Paul Martin (Colorado School of Mines)

Frank Adams 1, Alan Turing Building,

A Faraday cage is used for shielding from external fields. We consider
simple two-dimensional mathematical models of cages, using many identical
small circles to represent the cross-sections of many parallel wires. The
main emphasis of the talk will be on periodic configurations of N small
circles distributed evenly around a large circle (a ring). We calculate the
fields around the wires due to an ambient (or incident) field, and then we
investigate what happens when N gets large so that the gaps between the
wires shrinks. We expect that, in the limit, the cage will behave as a ring
(with no gaps), and this expectation is confirmed. However, we will see that
the limiting problem is approached very slowly.

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