Two-Dimensional Current Density Imaging

Imaging of electrical current by measuring the magnetic field which it produces requires the solution of the magnetic inverse problem. For a current restricted to a plane, the inverse problem can theoretically be solved by a linear spatial filtering method. We have demonstrated experimentally that currents restricted to the surface of a printed circuit board can be imaged using this method. To measure the magnetic field we have used a magnetic resonance imaging technique. The reconstructed current density images illustrate that a tradeoff exists between the spatial resolution and the signal-to-noise ratio,