The resolution and contrast of impedance measurements and scans are improved by using a non-contact impedance probe comprising an inner conductor configured to bear a measurement signal and an outer conductor configured to bear a shielding signal. The measurement signal and shielding signal are selected to increase the directionality of the flux emitted from the impedance probe. In one embodiment, the measurement signal and the shielding signal are phase locked signals. A sample may be placed in a basin having a conductive surface that receives the flux emitted from the impedance probe. By filling the basin with a conductive solution, direct contact between the probe and the sample may be avoided along with the associated variability in contact resistance. The small highly-directional flux emitting area achievable with the present invention enables high resolution high contrast non-contact scanning of biological and non-biological materials.