Modeling the hysteresis of a scanning probe microscope

Kai Dirscherl, Jørgen Garnæs, L. Nielsen, J. F. Jørgensen, Mads Peter Sørensen

    Research output: Contribution to journalJournal articleResearchpeer-review


    Most scanning probe microscopes use piezoelectric actuators in open loop configurations. Therefore a major problem related to these instruments is the image distortion due to the hysteresis effect of the piezo. In order to eliminate the distortions, cost effective software control based on a model for hysteresis can be applied to the scanner. We describe a new rate-independent model for the hysteresis of a piezo scanner. Two reference standards were used to determine the accuracy of the model; a one-dimensional grating with a period of 3.0 mum and a two-dimensional grating with 200 nm pitch. The structures were scanned for different scan ranges varying from 5 V peak to peak to 440 V peak to peak, so that 99% of the scanners' full motion range was covered. A least-squares fit of the experiments to the hysteresis model provided standard deviations per scan range of around 0.2%. This represents an uncertainty of 1 pixel. Since our model is based on a differential equation, it is flexible even to simulate arbitrary experimental conditions such as a sudden change in the offset
    Original languageEnglish
    JournalJournal of Vacuum Science and Technology. Part B. Microelectronics and Nanometer Structures
    Issue number2
    Pages (from-to)621-625
    Publication statusPublished - 2000


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