It will be explained how attempts to improve the diagnosis and treatment of heart disease and breast cancer have lead to inverse problems for Maxwell's equations.

Some of these problems arise in the design of electrical impedance imaging systems. These systems apply electrical currents to the surface of a body. They measure and record the voltages that result on the surface. From these measurements a reconstruction and display of the electrical conductivity and permittivity inside the body is made.

It will be explained how the spectral properties of the Dirichlet to Neumann operator influence the design of these systems.

Images and movies from the ACT3 system will also be shown.

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1996-1997 Mathematics in High Performance Computing