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A new model description and type classification carried out on its base of awide variety of practical hysteresis loops are suggested. An analysis of theloop approximating function was carried out; the parameters and characteristicsof the model were defined - coersitivity, remanent polarization, value ofhysteresis, spontaneous polarization, induced piezocoefficients, value ofsaturation, hysteresis losses of energy per cycle. It was shown that withpiezomanipulators of certain hysteresis loop types, there is no difference inheat production. The harmonic linearization coefficients were calculated, andthe harmonically linearized transfer function of a nonlinear hysteresis elementwas deduced. The hysteresis loop type was defined that possesses minimum phaseshift. The average relative approximation error of the model has been evaluatedas 1.5%-6% for real hysteresis loops. A procedure for definition of the modelparameters by experimental data is introduced. Examples of using the results ina scan unit of a scanning tunneling microscope for compensation of rasterdistortion are given.

Analytical model for the approximation of hysteresis loop and its application to the scanning tunneling microscope