  We have developed a method to measure the electric field standing wave
distributions in a microwave resonator using a scanned perturbation technique.
Fast and reliable solutions to the Helmholtz equation (and to the Schrodinger
equation for two dimensional systems) with arbitrarily-shaped boundaries are
obtained. We use a pin perturbation to image primarily the microwave electric
field amplitude, and we demonstrate the ability to image broken time-reversal
symmetry standing wave patterns produced with a magnetized ferrite in the
cavity. The whole cavity, including areas very close to the walls, can be
imaged using this technique with high spatial resolution over a broad range of
frequencies.
