Fall 2014
Colloquia are held on Fridays at 11:30 a.m. in Cullimore Lecture Hall II, unless noted otherwise. Refreshments are served at 11:30 am. For questions about the seminar schedule, please contact Yassine Boubendir.
Date: September 12, 2014
Speaker: Paul A. Martin
Department of Applied Mathematics and Statistics,
Colorado School of Mines
Title: "Acoustic and Electric Faraday Cages"
Abstract:
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.