A Method to Identify and Compensate for In-Plane Resonances of a Scanning Probe Microscope

A method includes generating, using a sensor, a data signal. The data signal includes a first component based on a motion in a first direction of an actuator configured to provide motion between a sample and a probe in the first direction, the first direction substantially in the plane of the sample; and a second component based on at least one of topographic variations of the sample in a second direction, and a materials property of the sample. The method further includes generating, using a processor, a compensatory signal based on the first component of the data signal generated by the sensor; and providing the compensatory signal to the actuator.